Tugas3_GriesYulianti.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tulis Jawaban pada Tempat yang Telah Disediakan"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tugas ini menggunakan <b>ILPD (Indian Liver Patient Dataset) dataset</b> yang terdiri dari dua kelas (<i>liver</i> dan <i>non liver patient</i>). Silahkan unduh dataset tersebut pada <b>UCI Machine Learning Repository</b> \n",
    "(<i>link</i>: https://archive.ics.uci.edu/ml/datasets/ILPD+(Indian+Liver+Patient+Dataset). \n",
    "Bacalah deskripsi dataset secara detail (<i>Number of Attributes, Data Set Information, Attribute Information, etc.</i>) Jika pada data tersebut terdapat <i>missing value,</i> tangani dengan cara menghapus/menghilangkan row (datum) yang mengandung <i/> missing value.<i/> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Jika dalam menyelesaikan tugas ini Anda berkolaborasi dengan orang lain, silahkan tuliskan dengan siapa Anda berkolaborasi (pada baris ini)!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kolaborator: TIDAK ADA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Jika dalam menyelesaikan tugas ini, Anda menggunakan referensi dari halaman situs di internet, silahkan tuliskan link halaman situs tersebut (pada baris ini)!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referensi:\n",
    "1) https://www.saedsayad.com/decision_tree.htm\n",
    "2) https://docs.scipy.org/doc/numpy-1.15.0/reference/generated/numpy.log.html\n",
    "3) https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.log2.html#numpy.log2\n",
    "4) https://medium.com/deep-math-machine-learning-ai/chapter-4-decision-trees-algorithms-b93975f7a1f1\n",
    "5) http://adataanalyst.com/scikit-learn/decision-trees-scikit-learn/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>Decision Tree</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Gunakan dataset ILPD (Indian Liver Patient Dataset). Buatlah 2 <i>dataset</i> baru dari <i>dataset</i> ILPD dengan ketentuan sebagai berikut:\n",
    "\n",
    "- data_1 yang berisi 4 atribut saja yaitu Age, Direct Bilirubin (DB), Total Proteins (TP), Albumin (ALB), dan kelas (<i>liver</i> dan <i>non liver</i>).\n",
    "\n",
    "- data_2 adalah data_1 yang dilakukan <i>pre-processing</i> sebagai berikut:\n",
    "    \n",
    "    Konversi atribut Age dengan ketentuan sebagai berikut:\n",
    "        Anak-Anak : usia ≤ 11 tahun\n",
    "        Remaja: usia 12 - 20 tahun\n",
    "        Dewasa: usia 21 - 59 tahun\n",
    "        Lansia: ≥ 60 tahun\n",
    "    Konversi atribut Direct Bilirubin dengan ketentuan: \n",
    "        Normal: DB  ≤ 10, selebihnya Tidak Normal\n",
    "    Konversi atribut Total Proteins dengan ketentuan sebagai berikut:\n",
    "        Rendah: TP ≤ 3.2\n",
    "        Normal: 3.3 ≤ TP ≤ 6.4\n",
    "        Tinggi: TP ≥ 6.5\n",
    "    Konversi atribut Albumin dengan ketentuan sebagai berikut:\n",
    "        Rendah: ALB ≤ 3.2\n",
    "        Normal: 3.3 ≤ ALB ≤ 6.4\n",
    "        Tinggi: ALB ≥ 6.5\n",
    "\n",
    "- Data tidak perlu dinormalisasi.\n",
    "- Soal Nomor 1 dan 2: Proporsi pembagian data <i>training</i> dan <i>testing</i> adalah 80:20 dengan menggunakan teknik <i> random sampling</i>. \n",
    "- Gunakan nilai <i><b>seed</i></b> yang sama agar menghasilkan bilangan acak dengan nilai awal <i>integer</i> yang selalu sama.\n",
    "- <i><b>Branching</i></b> pada Decision Tree sejumlah dengan banyaknya nilai pada atribut. Misalnya, <i>branching</i> untuk atribut Albumin adalah Rendah, Normal, dan Tinggi."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1). Lakukan klasifikasi pada data_2 menggunakan Decision Tree secara manual, kemudian jawablah pertanyaan berikut:\n",
    "    \n",
    "   a). Hitung nilai nilai <i>Entropi</i> dan <i>Information Gain</i> untuk semua atribut! \n",
    "   \n",
    "   b). Berdasarkan perhitungan soal <b>Nomor 1a</b>, atribut manakah yang menjadi <i>root</i>?\n",
    "   \n",
    "   c). Gambarkan hasil <i>Tree</i> yang telah Anda bangun dalam bentuk representasi teks! \n",
    "    \n",
    "   Penggunaan <i>library</i> pada soal ini hanya diperbolehkan untuk perhitungan dasar seperti log, mean, dan lain-lain"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "    Contoh hasil Tree (tree.PNG terlampir di scele): "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"tree.PNG\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "    Tree dalam bentuk Representasi Teks:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "    - Age-Anak-anak\n",
    "              - DB-Normal-Non-Liver\n",
    "\t\t          -Tidak Normal-Liver\n",
    "         -Remaja-Non-Liver\n",
    "         -Dewasa\n",
    "            - TP-Rendah-Liver\n",
    "                -Normal-Non Liver\n",
    "               -Tinggi\n",
    "                     -ALB-Rendah-Liver\n",
    "                         -Normal-Liver\n",
    "                         -Tinggi-Liver\n",
    "         -Lansia-Liver"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2). Lakukan klasifikasi pada data_2 menggunakan <i>library Decision Tree</i>, plot hasil Tree yang telah Anda bangun!\n",
    "    \n",
    "3). Hitunglah (secara manual) <i>accuracy, specificity, dan sensitivity</i> masing-masing kelas dari model yang Anda bangun pada nomor 1 dan 2 baik pada data <i>training</i> maupun pada data </i>testing, kemudian isilah tabel yang telah disediakan!\n",
    "- Acc: <i>Accuracy</i>\n",
    "- Spec: <i>Specificity</i>\n",
    "- Sens: <i>Sensitivity</i>\n",
    "- Time: <i>Training/Prediction Time</i>\n",
    "- DT-man: <i>Decision Tree</i> yang dibangun secara manual\n",
    "- DT-lib: <i>Decision Tree</i> yang dibangun menggunakan <i>library</i>\n",
    "\n",
    "4). Berikan analisis terkait hasil yang Anda peroleh pada tabel nomor 3!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### BONUS:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>Gunakan 10 <i>fold Cross Validation</i> untuk membangun model (nomor 1 dan 3)</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1). Lakukan klasifikasi terhadap data_1 menggunakan <i>library Decision Tree</i> (misalnya: Sk-learn)!\n",
    "\n",
    "2). Lakukan reduksi dimensi menggunakan PCA (boleh menggunakan <i>library</i>) pada data_1 dengan jumlah komponen harus meng-<i>capture</i> minimal 97% dari total <i>variance</i> data! \n",
    "\n",
    "3). Lakukan klasifikasi menggunakan <i>library Decision Tree</i> pada data hasil reduksi (nomor 2)!\n",
    "\n",
    "4). Hitunglah (secara manual)  rata-rata <i>accuracy, specificity, dan sensitivity</i> masing-masing kelas dari model yang Anda bangun pada nomor 1 dan 3 baik pada data <i>training</i> maupun pada data <i>testing</i>, kemudian isilah tabel yang telah disediakan!\n",
    "   - Ave-Acc: <i>Average Accuracy</i>\n",
    "   - Ave-Spec: <i>Average Specificity</i>\n",
    "   - Ave-Sens: <i>Average Sensitivity</i>\n",
    "   - Time: <i>Training/Prediction Time</i>\n",
    "   - DT: <i>Decision Tree</i> dengan data_1\n",
    "   - DT-PCA: <i>Decision Tree</i> dengan data yang dimensinya sudah direduksi dengan PCA\n",
    "\n",
    "5). Berikan analisis terkait hasil yang Anda peroleh pada tabel nomor 4!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jawaban:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1) Klasifikasi pada data_2 dengan Decision Tree secara manual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "scrolled": false
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "# =================================\n",
      "# ------------ DATA 2 ------------\n",
      "# =================================\n",
      "[['a4' 'b1' 'c3' 'd2' '1.0']\n",
      " ['a4' 'b1' 'c3' 'd1' '1.0']\n",
      " ['a4' 'b1' 'c3' 'd2' '1.0']\n",
      " ...\n",
      " ['a3' 'b1' 'c2' 'd1' '1.0']\n",
      " ['a3' 'b1' 'c3' 'd2' '1.0']\n",
      " ['a3' 'b1' 'c3' 'd2' '2.0']]\n",
      "\n",
      "Jumlah data testing (122L, 5L)\n",
      "Jumlah data training (461L, 5L)\n",
      "\n",
      "# =================================\n",
      "# Mencari H(D) keseluruhan\n",
      "# =================================\n",
      "Jumlah pasien liver =  334\n",
      "P(liver) = 0.724511930586\n",
      "\n",
      "Jumlah pasien non liver =  127\n",
      "P(nonliver) = 0.275488069414\n",
      "\n",
      "H(D) = 0.8492299059252197\n",
      "\n",
      "# =================================\n",
      "# Atribut AGE\n",
      "# =================================\n",
      "\n",
      "Jumlah kategori ANAK-ANAK yang LIVER = 3\n",
      "Jumlah kategori REMAJA yang LIVER = 15\n",
      "Jumlah kategori DEWASA yang LIVER = 232\n",
      "Jumlah kategori LANSIA yang LIVER = 84\n",
      "\n",
      "Jumlah kategori ANAK-ANAK yang NONLIVER = 3\n",
      "Jumlah kategori REMAJA yang NONLIVER = 8\n",
      "Jumlah kategori DEWASA yang NONLIVER = 87\n",
      "Jumlah kategori LANSIA yang NONLIVER = 29\n",
      "\n",
      "P(liver|Da1) =  0.00898203592814\n",
      "P(liver|Da2) =  0.0449101796407\n",
      "P(liver|Da3) =  0.694610778443\n",
      "P(liver|Da4) =  0.251497005988\n",
      "\n",
      "P(nonliver|Da1) =  0.0236220472441\n",
      "P(nonliver|Da2) =  0.0629921259843\n",
      "P(nonliver|Da3) =  0.685039370079\n",
      "P(nonliver|Da4) =  0.228346456693\n",
      "\n",
      "p(a1) =  0.0130151843818\n",
      "p(a2) =  0.0498915401302\n",
      "p(a3) =  0.691973969631\n",
      "p(a4) =  0.245119305857\n",
      "\n",
      "H(Da1) =  0.18871352381255516\n",
      "H(Da2) =  0.4523102356448694\n",
      "H(Da3) =  0.7390272704717322\n",
      "H(Da4) =  0.987366473741782\n",
      "\n",
      "Entropi AGE = 0.7784328142646666\n",
      "Information Gain AGE = 0.07079709166055315\n",
      "\n",
      "# =================================\n",
      "# Atribut Direct Bilirubin (DB)\n",
      "# =================================\n",
      "\n",
      "Jumlah kategori Direct Bilirubin NORMAL yang LIVER = 320\n",
      "Jumlah kategori Direct Bilirubin TIDAK NORMAL yang LIVER = 14\n",
      "\n",
      "Jumlah kategori Direct Bilirubin NORMAL yang NONLIVER = 127\n",
      "Jumlah kategori Direct Bilirubin TIDAK NORMAL yang NONLIVER = 0\n",
      "\n",
      "P(liver|Db1) =  0.958083832335\n",
      "P(liver|Db2) =  0.0419161676647\n",
      "\n",
      "P(nonliver|Db1) =  1.0\n",
      "P(nonliver|Db2) =  0.0\n",
      "\n",
      "p(b1) =  0.969631236443\n",
      "p(b2) =  0.0303687635575\n",
      "\n",
      "H(Db1) =  0.05918677613096036\n",
      "H(Db2) =  0.19182302750248584\n",
      "\n",
      "Entropi Direct Bilirubin (DB) = 0.0632147750880132\n",
      "Information Gain Direct Bilirubin (DB) = 0.7860151308372065\n",
      "\n",
      "# =================================\n",
      "# Atribut Total Proteins (TP)\n",
      "# =================================\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH yang LIVER = 2\n",
      "Jumlah kategori Total Proteins NORMAL yang LIVER = 164\n",
      "Jumlah kategori Total Proteins TINGGI yang LIVER = 168\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH yang NONLIVER = 0\n",
      "Jumlah kategori Total Proteins NORMAL yang NONLIVER = 59\n",
      "Jumlah kategori Total Proteins TINGGI yang NONLIVER = 68\n",
      "\n",
      "P(liver|Dc1) =  0.0059880239521\n",
      "P(liver|Dc2) =  0.491017964072\n",
      "P(liver|Dc3) =  0.502994011976\n",
      "\n",
      "P(nonliver|Dc1) =  0.0\n",
      "P(nonliver|Dc2) =  0.464566929134\n",
      "P(nonliver|Dc3) =  0.535433070866\n",
      "\n",
      "p(c1) =  0.00433839479393\n",
      "p(c2) =  0.483731019523\n",
      "p(c3) =  0.511930585683\n",
      "\n",
      "H(Dc1) =  0.04421379815852726\n",
      "H(Dc2) =  1.0176895741966139\n",
      "H(Dc3) =  0.9812056392878135\n",
      "\n",
      "Entropi Total Proteins (TP) = 0.9947890097919435\n",
      "Information Gain Total Proteins (TP) = -0.14555910386672377\n",
      "\n",
      "# =================================\n",
      "# Atribut Albumin (ALB)\n",
      "# =================================\n",
      "\n",
      "Jumlah kategori Albumin RENDAH yang LIVER = 208\n",
      "Jumlah kategori Albumin NORMAL yang LIVER = 126\n",
      "Jumlah kategori Albumin TINGGI yang LIVER = 0\n",
      "\n",
      "Jumlah kategori Albumin RENDAH yang NONLIVER = 58\n",
      "Jumlah kategori Albumin NORMAL yang NONLIVER = 69\n",
      "Jumlah kategori Albumin TINGGI yang NONLIVER = 0\n",
      "\n",
      "P(liver|Dd1) =  0.622754491018\n",
      "P(liver|Dd2) =  0.377245508982\n",
      "P(liver|Dd3) =  0.0\n",
      "\n",
      "P(nonliver|Dd1) =  0.456692913386\n",
      "P(nonliver|Dd2) =  0.543307086614\n",
      "P(nonliver|Dd3) =  0.0\n",
      "\n",
      "p(d1) =  0.577006507592\n",
      "p(d2) =  0.422993492408\n",
      "p(d3) =  0.0\n",
      "\n",
      "H(Dd1) =  0.9418904453326074\n",
      "H(Dd2) =  1.0087645672300856\n",
      "H(Dd3) =  0\n",
      "\n",
      "Entropi Albumin (ALB) = 0.9947890097919435\n",
      "Information Gain Albumin (ALB) = -0.12094785778050743\n",
      "\n",
      "==========================================================================\n",
      "Information Gain tertinggi adalah Bilirubin (DB), sehingga DB menjadi root\n",
      "==========================================================================\n",
      "\n",
      "# =================================\n",
      "# Mencari H(D) DB NORMAL\n",
      "# =================================\n",
      "\n",
      "Jumlah pasien DB NORMAL =  447\n",
      "\n",
      "Jumlah pasien DB NORMAL liver =  320\n",
      "Jumlah pasien DB NORMAL non liver =  127\n",
      "\n",
      "P(b1_liver) = 0.715883668904\n",
      "P(b1_nonliver) = 0.284116331096\n",
      "\n",
      "H(b1_D) = 0.8609991518678346\n",
      "\n",
      "# =================================\n",
      "# Mencari H(D) DB TIDAK NORMAL\n",
      "# =================================\n",
      "\n",
      "Jumlah pasien DB TIDAK NORMAL =  14\n",
      "\n",
      "Jumlah pasien DB TIDAK NORMAL liver =  14\n",
      "Jumlah pasien DB TIDAK NORMAL non liver =  0\n",
      "\n",
      "P(b2_liver) = 1.0\n",
      "P(b2_nonliver) = 0.0\n",
      "\n",
      "H(b2_D) = -0.0\n",
      "\n",
      "=====================================================================================\n",
      "Dari hasil pencarian H(D) dari data DB Normal dan Tidak Normal dapat dilihat bahwa,\n",
      "DB Normal harus displit kembali dan DB Tidak Normal majority ke target kelas LIVER\n",
      "=====================================================================================\n",
      "\n",
      "# =================================\n",
      "# Atribut AGE, DB NORMAL\n",
      "# =================================\n",
      "\n",
      "Jumlah kategori ANAK-ANAK (a1), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 2\n",
      "Jumlah kategori REMAJA (a2), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 15\n",
      "Jumlah kategori DEWASA (a3), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 220\n",
      "Jumlah kategori LANSIA (a4), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 83\n",
      "\n",
      "Jumlah kategori ANAK-ANAK (a1), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 3\n",
      "Jumlah kategori REMAJA (a2), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 8\n",
      "Jumlah kategori DEWASA (a3), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 87\n",
      "Jumlah kategori LANSIA (a4), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 29\n",
      "\n",
      "P(b1_liver|Da1) =  0.00625\n",
      "P(b1_liver|Da2) =  0.046875\n",
      "P(b1_liver|Da3) =  0.6875\n",
      "P(b1_liver|Da4) =  0.259375\n",
      "\n",
      "P(b1_nonliver|Da1) =  0.0236220472441\n",
      "P(b1_nonliver|Da2) =  0.0629921259843\n",
      "P(b1_nonliver|Da3) =  0.685039370079\n",
      "P(b1_nonliver|Da4) =  0.228346456693\n",
      "\n",
      "H(Da1_b1) =  0.17340903136590452\n",
      "H(Da2_b1) =  0.4582106110793047\n",
      "H(Da3_b1) =  0.7454949638430712\n",
      "H(Da4_b1) =  0.9915128853553539\n",
      "\n",
      "p(a1_b1) =  0.0111856823266\n",
      "p(a2_b1) =  0.0514541387025\n",
      "p(a3_b1) =  0.686800894855\n",
      "p(a4_b1) =  0.250559284116\n",
      "\n",
      "Entropi AGE b1 = 0.7859558976986042\n",
      "Information Gain AGE b1 = 0.07504325416923041\n",
      "\n",
      "# ==============================================\n",
      "# Atribut Total Proteins (TP), DB NORMAL\n",
      "# =============================================\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 2\n",
      "Jumlah kategori Total Proteins NORMAL, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 159\n",
      "Jumlah kategori Total Proteins TINGGI, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) = 159\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 0\n",
      "Jumlah kategori Total Proteins NORMAL, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 59\n",
      "Jumlah kategori Total Proteins TINGGI, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) = 68\n",
      "\n",
      "P(b1_liver|Dc1) =  0.00625\n",
      "P(b1_liver|Dc2) =  0.496875\n",
      "P(b1_liver|Dc3) =  0.496875\n",
      "\n",
      "P(b1_nonliver|Dc1) =  0.0\n",
      "P(b1_nonliver|Dc2) =  0.464566929134\n",
      "P(b1_nonliver|Dc3) =  0.535433070866\n",
      "\n",
      "H(Dc1_b1) =  0.04576205059304602\n",
      "H(Dc2_b1) =  1.0151996707261428\n",
      "H(Dc3_b1) =  0.9839132840196472\n",
      "\n",
      "p(c1_b1) =  0.00447427293065\n",
      "p(c2_b1) =  0.487695749441\n",
      "p(c3_b1) =  0.507829977629\n",
      "\n",
      "Entropi Total Proteins (TP) b1 = 0.9949739771631883\n",
      "Information Gain Total Proteins (TP) b1 = -0.13397482529535365\n",
      "\n",
      "# =======================================\n",
      "# Atribut Albumin (ALB), DB NORMAL\n",
      "# =======================================\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH, Albumin (ALB) NORMAL (b1), LIVER (1) = 198\n",
      "Jumlah kategori Total Proteins NORMAL, Albumin (ALB) NORMAL (b1), LIVER (1) = 122\n",
      "Jumlah kategori Total Proteins TINGGI, Albumin (ALB) NORMAL (b1), LIVER (1) = 0\n",
      "\n",
      "Jumlah kategori Total Proteins RENDAH, Albumin (ALB) NORMAL (b1), NONLIVER (2) = 58\n",
      "Jumlah kategori Total Proteins NORMAL, Albumin (ALB) NORMAL (b1), NONLIVER (2) = 69\n",
      "Jumlah kategori Total Proteins TINGGI, Albumin (ALB) NORMAL (b1), NONLIVER (2) = 0\n",
      "\n",
      "P(b1_liver|Dd1) =  0.61875\n",
      "P(b1_liver|Dd2) =  0.38125\n",
      "P(b1_liver|Dd3) =  0.0\n",
      "\n",
      "P(b1_nonliver|Dd1) =  0.456692913386\n",
      "P(b1_nonliver|Dd2) =  0.543307086614\n",
      "P(b1_nonliver|Dd3) =  0.0\n",
      "\n",
      "H(Dd1_b1) =  0.9449129631505759\n",
      "H(Dd2_b1) =  1.0085887665416555\n",
      "H(Dd3_b1) =  0\n",
      "\n",
      "p(d1_b1) =  0.572706935123\n",
      "p(d2_b1) =  0.427293064877\n",
      "p(d3_b1) =  0.0\n",
      "\n",
      "Entropi Albumin (ALB) b1 = 0.9721211923400529\n",
      "Information Gain Albumin (ALB) b1 = -0.1111220404722183\n",
      "\n",
      "Information Gain tertinggi untuk Bilirubin (DB) NORMAL adalah AGE, sehingga AGE menjadi node berikutnya\n"
     ]
    }
   ],
   "source": [
    "import csv\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "ILDPdataset = []\n",
    "\n",
    "with open('Indian Liver Patient Dataset (ILPD).csv', 'rb') as csvfile:\n",
    "    csv_reader = csv.reader(csvfile, delimiter=' ')\n",
    "    for row in csv_reader:\n",
    "        for rr in row:\n",
    "            rrTemp = rr.split(',')\n",
    "            ILDPdataset.append(rrTemp)\n",
    "    \n",
    "csvfile.close()\n",
    "\n",
    "age_list = [int(row[0]) for row in ILDPdataset] #Age\tAge of the patient \n",
    "gender_list = [float(0) if row[1]=='Male' else float(1) for row in ILDPdataset] #Gender\tGender of the patient Male = 0 Female = 1\n",
    "tb_list = [float(row[2]) for row in ILDPdataset] #TB\tTotal Bilirubin \n",
    "db_list = [float(row[3]) for row in ILDPdataset] #DB\tDirect Bilirubin\n",
    "aap_list = [float(row[4]) for row in ILDPdataset] #Alkphos Alkaline Phosphotase\n",
    "sgpt_list = [float(row[5]) for row in ILDPdataset] #Sgpt Alamine Aminotransferase \n",
    "sgot_list = [float(row[6]) for row in ILDPdataset] #Sgot Aspartate Aminotransferase \n",
    "tp_list = [float(row[7]) for row in ILDPdataset] #TP\tTotal Protiens \n",
    "alb_list = [float(row[8]) for row in ILDPdataset] #ALB\tAlbumin \n",
    "ag_list = [float (0) if row[9] == '' else float(row[9]) for row in ILDPdataset] #A/G Ratio\tAlbumin and Globulin Ratio, change null value to 0\n",
    "class_list = [float(row[10]) for row in ILDPdataset] #Selector field used to split the data into two sets (labeled by the experts) \n",
    "\n",
    "\n",
    "# =============================================================================\n",
    "# Fungsi menghitung nilai entropi dari dua kelas; liver patient dan non liver patient\n",
    "# menangani error jika ada nilai 0\n",
    "# =============================================================================\n",
    "\n",
    "def HD_(p1,p2):\n",
    "    if p1 == 0 and p2 == 0:\n",
    "        p1p2_entropi = 0    \n",
    "    elif p1 == 0:\n",
    "        p1p2_entropi = -(p1*np.log2(p1, where = False) + p2*np.log2(p2))\n",
    "    elif p2 == 0:\n",
    "        p1p2_entropi = -(p1*np.log2(p1) + p2*np.log2(p2, where = False))\n",
    "    else:   \n",
    "        p1p2_entropi = -(p1*np.log2(p1) + p2*np.log2(p2))\n",
    "        \n",
    "    return p1p2_entropi\n",
    "     \n",
    "# =============================================================================\n",
    "# Konversi atribut Age dengan ketentuan sebagai berikut:\n",
    "#     Anak-Anak : usia ≤ 11 tahun (a1)\n",
    "#     Remaja: usia 12 - 20 tahun (a2)\n",
    "#     Dewasa: usia 21 - 59 tahun (a3)\n",
    "#     Lansia: ≥ 60 tahun (a4)\n",
    "# =============================================================================\n",
    "\n",
    "age_category = []\n",
    "for xx in age_list:\n",
    "    if xx <= 11:\n",
    "        xx = 'a1'\n",
    "    elif xx <=20:\n",
    "        xx = 'a2'\n",
    "    elif xx <= 59:\n",
    "        xx = 'a3'\n",
    "    else:\n",
    "        xx = 'a4'\n",
    "    age_category.append(xx)\n",
    " \n",
    "    \n",
    "#print len(age_category)    \n",
    "# =============================================================================\n",
    "# Konversi atribut Direct Bilirubin dengan ketentuan:\n",
    "#     Normal: DB  ≤ 10, selebihnya Tidak Normal\n",
    "#     Normal (b1), Tidak Normal (b2)\n",
    "# =============================================================================\n",
    "\n",
    "db_category = ['b1' if yy <= 10 else 'b2' for yy in db_list]\n",
    "#print len(db_category)\n",
    "    \n",
    "# =============================================================================\n",
    "# Konversi atribut Total Proteins dengan ketentuan sebagai berikut:\n",
    "#   Rendah: TP ≤ 3.2 (c1)\n",
    "#   Normal: 3.3 ≤ TP ≤ 6.4 (c2)\n",
    "#   Tinggi: TP ≥ 6.5 (c3)\n",
    "# =============================================================================\n",
    "\n",
    "tp_category = ['c1' if zz <= 3.2 else 'c3' if zz >= 6.5 else 'c2' for zz in tp_list]\n",
    "\n",
    "#print len(tp_category)\n",
    "\n",
    "# =============================================================================\n",
    "# Konversi atribut Albumin dengan ketentuan sebagai berikut: \n",
    "#   Rendah: ALB ≤ 3.2 (d1)\n",
    "#   Normal: 3.3 ≤ ALB ≤ 6.4 (d2)\n",
    "#   Tinggi: ALB ≥ 6.5 (d3)\n",
    "# =============================================================================\n",
    "\n",
    "alb_category = ['d1' if zz <= 3.2 else 'd3' if zz >= 6.5 else 'd2' for zz in alb_list]\n",
    "\n",
    "#print len(alb_category)\n",
    "\n",
    "# =============================================================================\n",
    "# Array Data 2 hasil klasifikasi\n",
    "# =============================================================================\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# ------------ DATA 2 ------------\"\n",
    "print '# ================================='\n",
    "data2_list = np.stack((age_category, db_category, tp_category, alb_category, class_list), axis = -1)\n",
    "print (data2_list)\n",
    "\n",
    "# =============================================================================\n",
    "# Pembagian data training dan testing adalah 80:20\n",
    "# dengan menggunakan teknik random sampling\n",
    "# =============================================================================\n",
    "\n",
    "np.random.seed(5)\n",
    "rand = np.random.rand(len(data2_list)) < 0.8\n",
    "train_data_list = data2_list[rand]\n",
    "test_data_list = data2_list[~rand]\n",
    "\n",
    "print '\\nJumlah data testing', test_data_list.shape\n",
    "print 'Jumlah data training', (train_data_list.shape)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dari dua kelas; liver patient dan non liver patient\n",
    "# =============================================================================\n",
    "print '\\n# ================================='\n",
    "print \"# Mencari H(D) keseluruhan\"\n",
    "print '# ================================='\n",
    "\n",
    "#print type(train_data_list[0][10])\n",
    "\n",
    "liver_list = [ii for ii in train_data_list if ii[4] == '1.0']\n",
    "print 'Jumlah pasien liver = ', len(liver_list)\n",
    "liver_prob = float(len(liver_list))/float(len(train_data_list))\n",
    "print 'P(liver) =', liver_prob\n",
    "\n",
    "nonliver_list = [ii for ii in train_data_list if ii[4] == '2.0']\n",
    "print '\\nJumlah pasien non liver = ', len(nonliver_list)\n",
    "nonliver_prob = float(len(nonliver_list))/float(len(train_data_list))\n",
    "print 'P(nonliver) =', nonliver_prob\n",
    "\n",
    "#HD_entropi = -(liver_prob*np.log2(liver_prob) + nonliver_prob*np.log2(nonliver_prob))\n",
    "HD_entropi = HD_(liver_prob, nonliver_prob)\n",
    "print '\\nH(D) =', HD_entropi\n",
    "\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Atribut AGE\"\n",
    "print '# ================================='\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari jumlah data hasil konversi atribut untuk setiap class (liver (1), non liver(2))\n",
    "# =============================================================================\n",
    "a1_liver = np.array([ak for ak in train_data_list if ak[0] == 'a1' and ak[4] == '1.0'])\n",
    "print '\\nJumlah kategori ANAK-ANAK yang LIVER =',len(a1_liver)\n",
    "a2_liver = np.array([ak for ak in train_data_list if ak[0] == 'a2' and ak[4] == '1.0'])\n",
    "print 'Jumlah kategori REMAJA yang LIVER =',len(a2_liver)\n",
    "a3_liver = np.array([ak for ak in train_data_list if ak[0] == 'a3' and ak[4] == '1.0'])\n",
    "print 'Jumlah kategori DEWASA yang LIVER =',len(a3_liver)\n",
    "a4_liver = np.array([ak for ak in train_data_list if ak[0] == 'a4' and ak[4] == '1.0'])\n",
    "print 'Jumlah kategori LANSIA yang LIVER =',len(a4_liver)\n",
    "\n",
    "a1_nonliver = np.array([ak for ak in train_data_list if ak[0] == 'a1' and ak[4] == '2.0'])\n",
    "print '\\nJumlah kategori ANAK-ANAK yang NONLIVER =',len(a1_nonliver)\n",
    "a2_nonliver = np.array([ak for ak in train_data_list if ak[0] == 'a2' and ak[4] == '2.0'])\n",
    "print 'Jumlah kategori REMAJA yang NONLIVER =',len(a2_nonliver)\n",
    "a3_nonliver = np.array([ak for ak in train_data_list if ak[0] == 'a3' and ak[4] == '2.0'])\n",
    "print 'Jumlah kategori DEWASA yang NONLIVER =',len(a3_nonliver)\n",
    "a4_nonliver = np.array([ak for ak in train_data_list if ak[0] == 'a4' and ak[4] == '2.0'])\n",
    "print 'Jumlah kategori LANSIA yang NONLIVER =',len(a4_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut AGE di tiap kelas\n",
    "# =============================================================================\n",
    "p_a1_liver = float(len(a1_liver))/(float(len(a1_liver))+float(len(a2_liver))+float(len(a3_liver))+float(len(a4_liver)))\n",
    "print '\\nP(liver|Da1) = ',(p_a1_liver)\n",
    "p_a2_liver = float(len(a2_liver))/(float(len(a1_liver))+float(len(a2_liver))+float(len(a3_liver))+float(len(a4_liver)))\n",
    "print 'P(liver|Da2) = ',(p_a2_liver)\n",
    "p_a3_liver = float(len(a3_liver))/(float(len(a1_liver))+float(len(a2_liver))+float(len(a3_liver))+float(len(a4_liver)))\n",
    "print 'P(liver|Da3) = ',(p_a3_liver)\n",
    "p_a4_liver = float(len(a4_liver))/(float(len(a1_liver))+float(len(a2_liver))+float(len(a3_liver))+float(len(a4_liver)))\n",
    "print 'P(liver|Da4) = ',(p_a4_liver)\n",
    "\n",
    "p_a1_nonliver = float(len(a1_nonliver))/(float(len(a1_nonliver))+float(len(a2_nonliver))+float(len(a3_nonliver))+float(len(a4_nonliver)))\n",
    "print '\\nP(nonliver|Da1) = ',(p_a1_nonliver)\n",
    "p_a2_nonliver = float(len(a2_nonliver))/(float(len(a1_nonliver))+float(len(a2_nonliver))+float(len(a3_nonliver))+float(len(a4_nonliver)))\n",
    "print 'P(nonliver|Da2) = ',(p_a2_nonliver)\n",
    "p_a3_nonliver = float(len(a3_nonliver))/(float(len(a1_nonliver))+float(len(a2_nonliver))+float(len(a3_nonliver))+float(len(a4_nonliver)))\n",
    "print 'P(nonliver|Da3) = ',(p_a3_nonliver)\n",
    "p_a4_nonliver = float(len(a4_nonliver))/(float(len(a1_nonliver))+float(len(a2_nonliver))+float(len(a3_nonliver))+float(len(a4_nonliver)))\n",
    "print 'P(nonliver|Da4) = ',(p_a4_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_a1 = (float(len(a1_liver))+float(len(a1_nonliver)))/(float(len(train_data_list)))\n",
    "print '\\np(a1) = ', p_a1\n",
    "p_a2 = (float(len(a2_liver))+float(len(a2_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(a2) = ', p_a2\n",
    "p_a3 = (float(len(a3_liver))+float(len(a3_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(a3) = ', p_a3\n",
    "p_a4 = (float(len(a4_liver))+float(len(a4_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(a4) = ', p_a4\n",
    "\n",
    "\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap kategori\n",
    "# =============================================================================\n",
    "a1_entropi = HD_(p_a1_liver, p_a1_nonliver)\n",
    "print '\\nH(Da1) = ', a1_entropi\n",
    "a2_entropi = HD_(p_a2_liver, p_a2_nonliver)\n",
    "print 'H(Da2) = ', a2_entropi\n",
    "a3_entropi = HD_(p_a3_liver, p_a3_nonliver)\n",
    "print 'H(Da3) = ', a3_entropi\n",
    "a4_entropi = HD_(p_a4_liver, p_a4_nonliver)\n",
    "print 'H(Da4) = ', a4_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut AGE\n",
    "# =============================================================================\n",
    "\n",
    "age_entropi = a1_entropi*p_a1 + a2_entropi*p_a2 + a3_entropi*p_a3 + a4_entropi*p_a4\n",
    "print '\\nEntropi AGE =', age_entropi\n",
    "age_ig = HD_entropi - age_entropi\n",
    "print 'Information Gain AGE =', age_ig\n",
    "\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Atribut Direct Bilirubin (DB)\"\n",
    "print '# ================================='\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari jumlah data hasil konversi atribut untuk setiap class (liver (1), non liver(2))\n",
    "# =============================================================================\n",
    "b1_liver = np.array([dbk for dbk in train_data_list if dbk[1] == 'b1' and dbk[4] == '1.0'])\n",
    "print '\\nJumlah kategori Direct Bilirubin NORMAL yang LIVER =',len(b1_liver)\n",
    "b2_liver = np.array([dbk for dbk in train_data_list if dbk[1] == 'b2' and dbk[4] == '1.0'])\n",
    "print 'Jumlah kategori Direct Bilirubin TIDAK NORMAL yang LIVER =',len(b2_liver)\n",
    "\n",
    "b1_nonliver = np.array([dbk for dbk in train_data_list if dbk[1] == 'b1' and dbk[4] == '2.0'])\n",
    "print '\\nJumlah kategori Direct Bilirubin NORMAL yang NONLIVER =',len(b1_nonliver)\n",
    "b2_nonliver = np.array([dbk for dbk in train_data_list if dbk[1] == 'b2' and dbk[4] == '2.0'])\n",
    "print 'Jumlah kategori Direct Bilirubin TIDAK NORMAL yang NONLIVER =',len(b2_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut DB di tiap kelas\n",
    "# =============================================================================\n",
    "p_b1_liver = float(len(b1_liver))/(float(len(b1_liver))+float(len(b2_liver)))\n",
    "print '\\nP(liver|Db1) = ',(p_b1_liver)\n",
    "p_b2_liver = float(len(b2_liver))/(float(len(b1_liver))+float(len(b2_liver)))\n",
    "print 'P(liver|Db2) = ',(p_b2_liver)\n",
    "\n",
    "p_b1_nonliver = float(len(b1_nonliver))/(float(len(b1_nonliver))+float(len(b2_nonliver)))\n",
    "print '\\nP(nonliver|Db1) = ',(p_b1_nonliver)\n",
    "p_b2_nonliver = float(len(b2_nonliver))/(float(len(b1_nonliver))+float(len(b2_nonliver)))\n",
    "print 'P(nonliver|Db2) = ',(p_b2_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_b1 = (float(len(b1_liver))+float(len(b1_nonliver)))/(float(len(train_data_list)))\n",
    "print '\\np(b1) = ', p_b1\n",
    "p_b2 = (float(len(b2_liver))+float(len(b2_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(b2) = ', p_b2\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "b1_entropi = HD_(p_b1_liver, p_b1_nonliver)\n",
    "print '\\nH(Db1) = ', b1_entropi\n",
    "#b2_entropi = -(p_b2_liver*np.log2(p_b2_liver) + p_b2_nonliver*np.log2(p_b2_nonliver,where = False))\n",
    "b2_entropi = HD_(p_b2_liver, p_b2_nonliver)\n",
    "print 'H(Db2) = ', b2_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut DB\n",
    "# =============================================================================\n",
    "\n",
    "db_entropi = b1_entropi*p_b1 + b2_entropi*p_b2\n",
    "print '\\nEntropi Direct Bilirubin (DB) =', db_entropi\n",
    "db_ig = HD_entropi - db_entropi\n",
    "print 'Information Gain Direct Bilirubin (DB) =', db_ig\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Atribut Total Proteins (TP)\"\n",
    "print '# ================================='\n",
    "# =============================================================================\n",
    "# Mencari jumlah data hasil konversi atribut untuk setiap class (liver (1), non liver(2))\n",
    "# =============================================================================\n",
    "\n",
    "c1_liver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c1' and tpk[4] == '1.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH yang LIVER =',len(c1_liver)\n",
    "c2_liver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c2' and tpk[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL yang LIVER =',len(c2_liver)\n",
    "c3_liver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c3' and tpk[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI yang LIVER =',len(c3_liver)\n",
    "\n",
    "c1_nonliver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c1' and tpk[4] == '2.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH yang NONLIVER =',len(c1_nonliver)\n",
    "c2_nonliver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c2' and tpk[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL yang NONLIVER =',len(c2_nonliver)\n",
    "c3_nonliver = np.array([tpk for tpk in train_data_list if tpk[2] == 'c3' and tpk[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI yang NONLIVER =',len(c3_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut TP di tiap kelas\n",
    "# =============================================================================\n",
    "p_c1_liver = float(len(c1_liver))/(float(len(c1_liver))+float(len(c2_liver))+float(len(c3_liver)))\n",
    "print '\\nP(liver|Dc1) = ',(p_c1_liver)\n",
    "p_c2_liver = float(len(c2_liver))/(float(len(c1_liver))+float(len(c2_liver))+float(len(c3_liver)))\n",
    "print 'P(liver|Dc2) = ',(p_c2_liver)\n",
    "p_c3_liver = float(len(c3_liver))/(float(len(c1_liver))+float(len(c2_liver))+float(len(c3_liver)))\n",
    "print 'P(liver|Dc3) = ',(p_c3_liver)\n",
    "\n",
    "p_c1_nonliver = float(len(c1_nonliver))/(float(len(c1_nonliver))+float(len(c2_nonliver))+float(len(c3_nonliver)))\n",
    "print '\\nP(nonliver|Dc1) = ',(p_c1_nonliver)\n",
    "p_c2_nonliver = float(len(c2_nonliver))/(float(len(c1_nonliver))+float(len(c2_nonliver))+float(len(c3_nonliver)))\n",
    "print 'P(nonliver|Dc2) = ',(p_c2_nonliver)\n",
    "p_c3_nonliver = float(len(c3_nonliver))/(float(len(c1_nonliver))+float(len(c2_nonliver))+float(len(c3_nonliver)))\n",
    "print 'P(nonliver|Dc3) = ',(p_c3_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_c1 = (float(len(c1_liver))+float(len(c1_nonliver)))/(float(len(train_data_list)))\n",
    "print '\\np(c1) = ', p_c1\n",
    "p_c2 = (float(len(c2_liver))+float(len(c2_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(c2) = ', p_c2\n",
    "p_c3 = (float(len(c3_liver))+float(len(c3_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(c3) = ', p_c3\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "c1_entropi = HD_(p_c1_liver, p_c1_nonliver)\n",
    "print '\\nH(Dc1) = ', c1_entropi\n",
    "c2_entropi = HD_(p_c2_liver, p_c2_nonliver)\n",
    "print 'H(Dc2) = ', c2_entropi\n",
    "c3_entropi = HD_(p_c3_liver, p_c3_nonliver)\n",
    "print 'H(Dc3) = ', c3_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut TP\n",
    "# =============================================================================\n",
    "\n",
    "tp_entropi = c1_entropi*p_c1 + c2_entropi*p_c2 + c3_entropi*p_c3\n",
    "print '\\nEntropi Total Proteins (TP) =', tp_entropi\n",
    "tp_ig = HD_entropi - tp_entropi\n",
    "print 'Information Gain Total Proteins (TP) =', tp_ig\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Atribut Albumin (ALB)\"\n",
    "print '# ================================='\n",
    "# =============================================================================\n",
    "# Mencari jumlah data hasil konversi atribut untuk setiap class (liver (1), non liver(2))\n",
    "# =============================================================================\n",
    "d1_liver = np.array([albk for albk in train_data_list if albk[3] == 'd1' and albk[4] == '1.0'])\n",
    "print '\\nJumlah kategori Albumin RENDAH yang LIVER =',len(d1_liver)\n",
    "d2_liver = np.array([albk for albk in train_data_list if albk[3] == 'd2' and albk[4] == '1.0'])\n",
    "print 'Jumlah kategori Albumin NORMAL yang LIVER =',len(d2_liver)\n",
    "d3_liver = np.array([albk for albk in train_data_list if albk[3] == 'd3' and albk[4] == '1.0'])\n",
    "print 'Jumlah kategori Albumin TINGGI yang LIVER =',len(d3_liver)\n",
    "\n",
    "d1_nonliver = np.array([albk for albk in train_data_list if albk[3] == 'd1' and albk[4] == '2.0'])\n",
    "print '\\nJumlah kategori Albumin RENDAH yang NONLIVER =',len(d1_nonliver)\n",
    "d2_nonliver = np.array([albk for albk in train_data_list if albk[3] == 'd2' and albk[4] == '2.0'])\n",
    "print 'Jumlah kategori Albumin NORMAL yang NONLIVER =',len(d2_nonliver)\n",
    "d3_nonliver = np.array([albk for albk in train_data_list if albk[3] == 'd3' and albk[4] == '2.0'])\n",
    "print 'Jumlah kategori Albumin TINGGI yang NONLIVER =',len(d3_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut ALB di tiap kelas\n",
    "# =============================================================================\n",
    "p_d1_liver = float(len(d1_liver))/(float(len(d1_liver))+float(len(d2_liver))+float(len(d3_liver)))\n",
    "print '\\nP(liver|Dd1) = ',(p_d1_liver)\n",
    "p_d2_liver = float(len(d2_liver))/(float(len(d1_liver))+float(len(d2_liver))+float(len(d3_liver)))\n",
    "print 'P(liver|Dd2) = ',(p_d2_liver)\n",
    "p_d3_liver = float(len(d3_liver))/(float(len(d1_liver))+float(len(d2_liver))+float(len(d3_liver)))\n",
    "print 'P(liver|Dd3) = ',(p_d3_liver)\n",
    "\n",
    "p_d1_nonliver = float(len(d1_nonliver))/(float(len(d1_nonliver))+float(len(d2_nonliver))+float(len(d3_nonliver)))\n",
    "print '\\nP(nonliver|Dd1) = ',(p_d1_nonliver)\n",
    "p_d2_nonliver = float(len(d2_nonliver))/(float(len(d1_nonliver))+float(len(d2_nonliver))+float(len(d3_nonliver)))\n",
    "print 'P(nonliver|Dd2) = ',(p_d2_nonliver)\n",
    "p_d3_nonliver = float(len(d3_nonliver))/(float(len(d1_nonliver))+float(len(d2_nonliver))+float(len(d3_nonliver)))\n",
    "print 'P(nonliver|Dd3) = ',(p_d3_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "p_d1 = (float(len(d1_liver))+float(len(d1_nonliver)))/(float(len(train_data_list)))\n",
    "print '\\np(d1) = ', p_d1\n",
    "p_d2 = (float(len(d2_liver))+float(len(d2_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(d2) = ', p_d2\n",
    "p_d3 = (float(len(d3_liver))+float(len(d3_nonliver)))/(float(len(train_data_list)))\n",
    "print 'p(d3) = ', p_d3\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "d1_entropi = HD_(p_d1_liver, p_d1_nonliver)\n",
    "print '\\nH(Dd1) = ', d1_entropi\n",
    "d2_entropi = HD_(p_d2_liver, p_d2_nonliver)\n",
    "print 'H(Dd2) = ', d2_entropi\n",
    "d3_entropi = HD_(p_d3_liver, p_d3_nonliver)\n",
    "print 'H(Dd3) = ', d3_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut ALB\n",
    "# =============================================================================\n",
    "\n",
    "alb_entropi = d1_entropi*p_d1 + d2_entropi*p_d2 + d3_entropi*p_d3\n",
    "print '\\nEntropi Albumin (ALB) =', tp_entropi\n",
    "alb_ig = HD_entropi - alb_entropi\n",
    "print 'Information Gain Albumin (ALB) =', alb_ig\n",
    "\n",
    "print '\\n=========================================================================='\n",
    "print 'Information Gain tertinggi adalah Bilirubin (DB), sehingga DB menjadi root'\n",
    "print '=========================================================================='\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Split Data berikutnya\n",
    "# =============================================================================\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Mencari H(D) DB NORMAL\"\n",
    "print '# ================================='\n",
    "\n",
    "jumlah_b1 = len(b1_liver) + len(b1_nonliver)\n",
    "print '\\nJumlah pasien DB NORMAL = ', jumlah_b1\n",
    "\n",
    "print '\\nJumlah pasien DB NORMAL liver = ', len(b1_liver)\n",
    "print 'Jumlah pasien DB NORMAL non liver = ', len(b1_nonliver)\n",
    "\n",
    "b1_liver_prob = float(len(b1_liver))/float(jumlah_b1)\n",
    "print '\\nP(b1_liver) =', b1_liver_prob\n",
    "\n",
    "b1_nonliver_prob = float(len(b1_nonliver))/float(jumlah_b1)\n",
    "print 'P(b1_nonliver) =', b1_nonliver_prob\n",
    "\n",
    "\n",
    "HD_b1_entropi = HD_(b1_liver_prob, b1_nonliver_prob)\n",
    "print '\\nH(b1_D) =', HD_b1_entropi\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Mencari H(D) DB TIDAK NORMAL\"\n",
    "print '# ================================='\n",
    "\n",
    "jumlah_b2 = len(b2_liver) + len(b2_nonliver)\n",
    "print '\\nJumlah pasien DB TIDAK NORMAL = ', jumlah_b2\n",
    "\n",
    "print '\\nJumlah pasien DB TIDAK NORMAL liver = ', len(b2_liver)\n",
    "print 'Jumlah pasien DB TIDAK NORMAL non liver = ', len(b2_nonliver)\n",
    "\n",
    "b2_liver_prob = float(len(b2_liver))/float(jumlah_b2)\n",
    "print '\\nP(b2_liver) =', b2_liver_prob\n",
    "\n",
    "b2_nonliver_prob = float(len(b2_nonliver))/float(jumlah_b2)\n",
    "print 'P(b2_nonliver) =', b2_nonliver_prob\n",
    "\n",
    "\n",
    "HD_b2_entropi = HD_(b2_liver_prob, b2_nonliver_prob)\n",
    "print '\\nH(b2_D) =', HD_b2_entropi\n",
    "\n",
    "print '\\n====================================================================================='\n",
    "print 'Dari hasil pencarian H(D) dari data DB Normal dan Tidak Normal dapat dilihat bahwa,'\n",
    "print 'DB Normal harus displit kembali dan DB Tidak Normal majority ke target kelas LIVER'\n",
    "print '====================================================================================='\n",
    "\n",
    "# =============================================================================\n",
    "# Atribut Age\n",
    "# =============================================================================\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# Atribut AGE, DB NORMAL\"\n",
    "print '# ================================='\n",
    "\n",
    "a1_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a1' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print '\\nJumlah kategori ANAK-ANAK (a1), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =', len(a1_b1_liver)\n",
    "a2_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a2' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori REMAJA (a2), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =', len(a2_b1_liver)\n",
    "a3_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a3' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori DEWASA (a3), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =', len(a3_b1_liver)\n",
    "a4_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a4' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori LANSIA (a4), Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =', len(a4_b1_liver)\n",
    "\n",
    "a1_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a1' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print '\\nJumlah kategori ANAK-ANAK (a1), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =', len(a1_b1_nonliver)\n",
    "a2_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a2' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori REMAJA (a2), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =', len(a2_b1_nonliver)\n",
    "a3_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a3' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori DEWASA (a3), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =', len(a3_b1_nonliver)\n",
    "a4_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[0] == 'a4' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori LANSIA (a4), Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =', len(a4_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut AGE di tiap kelas\n",
    "# =============================================================================\n",
    "p_a1_b1_liver = float(len(a1_b1_liver))/(float(len(a1_b1_liver))+float(len(a2_b1_liver))+float(len(a3_b1_liver))+float(len(a4_b1_liver)))\n",
    "print '\\nP(b1_liver|Da1) = ',(p_a1_b1_liver)\n",
    "p_a2_b1_liver = float(len(a2_b1_liver))/(float(len(a1_b1_liver))+float(len(a2_b1_liver))+float(len(a3_b1_liver))+float(len(a4_b1_liver)))\n",
    "print 'P(b1_liver|Da2) = ',(p_a2_b1_liver)\n",
    "p_a3_b1_liver = float(len(a3_b1_liver))/(float(len(a1_b1_liver))+float(len(a2_b1_liver))+float(len(a3_b1_liver))+float(len(a4_b1_liver)))\n",
    "print 'P(b1_liver|Da3) = ',(p_a3_b1_liver)\n",
    "p_a4_b1_liver = float(len(a4_b1_liver))/(float(len(a1_b1_liver))+float(len(a2_b1_liver))+float(len(a3_b1_liver))+float(len(a4_b1_liver)))\n",
    "print 'P(b1_liver|Da4) = ',(p_a4_b1_liver)\n",
    "\n",
    "\n",
    "p_a1_b1_nonliver = float(len(a1_b1_nonliver))/(float(len(a1_b1_nonliver))+float(len(a2_b1_nonliver))+float(len(a3_b1_nonliver))+float(len(a4_b1_nonliver)))\n",
    "print '\\nP(b1_nonliver|Da1) = ',(p_a1_b1_nonliver)\n",
    "p_a2_b1_nonliver = float(len(a2_b1_nonliver))/(float(len(a1_b1_nonliver))+float(len(a2_b1_nonliver))+float(len(a3_b1_nonliver))+float(len(a4_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Da2) = ',(p_a2_b1_nonliver)\n",
    "p_a3_b1_nonliver = float(len(a3_b1_nonliver))/(float(len(a1_b1_nonliver))+float(len(a2_b1_nonliver))+float(len(a3_b1_nonliver))+float(len(a4_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Da3) = ',(p_a3_b1_nonliver)\n",
    "p_a4_b1_nonliver = float(len(a4_b1_nonliver))/(float(len(a1_b1_nonliver))+float(len(a2_b1_nonliver))+float(len(a3_b1_nonliver))+float(len(a4_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Da4) = ',(p_a4_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "a1_b1_entropi = HD_(p_a1_b1_liver, p_a1_b1_nonliver)\n",
    "print '\\nH(Da1_b1) = ', a1_b1_entropi\n",
    "a2_b1_entropi = HD_(p_a2_b1_liver, p_a2_b1_nonliver)\n",
    "print 'H(Da2_b1) = ', a2_b1_entropi\n",
    "a3_b1_entropi = HD_(p_a3_b1_liver, p_a3_b1_nonliver)\n",
    "print 'H(Da3_b1) = ', a3_b1_entropi\n",
    "a4_b1_entropi = HD_(p_a4_b1_liver, p_a4_b1_nonliver)\n",
    "print 'H(Da4_b1) = ', a4_b1_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_a1_b1 = (float(len(a1_b1_liver))+float(len(a1_b1_nonliver)))/(float(jumlah_b1))\n",
    "print '\\np(a1_b1) = ', p_a1_b1\n",
    "p_a2_b1 = (float(len(a2_b1_liver))+float(len(a2_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(a2_b1) = ', p_a2_b1\n",
    "p_a3_b1 = (float(len(a3_b1_liver))+float(len(a3_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(a3_b1) = ', p_a3_b1\n",
    "p_a4_b1 = (float(len(a4_b1_liver))+float(len(a4_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(a4_b1) = ', p_a4_b1\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut AGE\n",
    "# =============================================================================\n",
    "\n",
    "age_b1_entropi = a1_b1_entropi*p_a1_b1 + a2_b1_entropi*p_a2_b1 + a3_b1_entropi*p_a3_b1 + a4_b1_entropi*p_a4_b1\n",
    "print '\\nEntropi AGE b1 =', age_b1_entropi\n",
    "age_b1_ig = HD_b1_entropi - age_b1_entropi\n",
    "print 'Information Gain AGE b1 =', age_b1_ig\n",
    "\n",
    "\n",
    "# =============================================================================\n",
    "# Atribut Total Proteins (TP)\n",
    "# =============================================================================\n",
    "\n",
    "print '\\n# =============================================='\n",
    "print \"# Atribut Total Proteins (TP), DB NORMAL\"\n",
    "print '# ============================================='\n",
    "\n",
    "c1_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c1' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =',len(c1_b1_liver)\n",
    "c2_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c2' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =',len(c2_b1_liver)\n",
    "c3_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c3' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI, Direct Bilirubin (DB) NORMAL (b1), LIVER (1) =',len(c3_b1_liver)\n",
    "\n",
    "c1_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c1' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =',len(c1_b1_nonliver)\n",
    "c2_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c2' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =',len(c2_b1_nonliver)\n",
    "c3_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[2] == 'c3' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI, Direct Bilirubin (DB) NORMAL (b1), NONLIVER (2) =',len(c3_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut TP di tiap kelas\n",
    "# =============================================================================\n",
    "p_c1_b1_liver = float(len(c1_b1_liver))/(float(len(c1_b1_liver))+float(len(c2_b1_liver))+float(len(c3_b1_liver)))\n",
    "print '\\nP(b1_liver|Dc1) = ',(p_c1_b1_liver)\n",
    "p_c2_b1_liver = float(len(c2_b1_liver))/(float(len(c1_b1_liver))+float(len(c2_b1_liver))+float(len(c3_b1_liver)))\n",
    "print 'P(b1_liver|Dc2) = ',(p_c2_b1_liver)\n",
    "p_c3_b1_liver = float(len(c3_b1_liver))/(float(len(c1_b1_liver))+float(len(c2_b1_liver))+float(len(c3_b1_liver)))\n",
    "print 'P(b1_liver|Dc3) = ',(p_c3_b1_liver)\n",
    "\n",
    "p_c1_b1_nonliver = float(len(c1_b1_nonliver))/(float(len(c1_b1_nonliver))+float(len(c2_b1_nonliver))+float(len(c3_b1_nonliver)))\n",
    "print '\\nP(b1_nonliver|Dc1) = ',(p_c1_b1_nonliver)\n",
    "p_c2_b1_nonliver = float(len(c2_b1_nonliver))/(float(len(c1_b1_nonliver))+float(len(c2_b1_nonliver))+float(len(c3_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Dc2) = ',(p_c2_b1_nonliver)\n",
    "p_c3_b1_nonliver = float(len(c3_b1_nonliver))/(float(len(c1_b1_nonliver))+float(len(c2_b1_nonliver))+float(len(c3_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Dc3) = ',(p_c3_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "c1_b1_entropi = HD_(p_c1_b1_liver, p_c1_b1_nonliver)\n",
    "print '\\nH(Dc1_b1) = ', c1_b1_entropi\n",
    "c2_b1_entropi = HD_(p_c2_b1_liver, p_c2_b1_nonliver)\n",
    "print 'H(Dc2_b1) = ', c2_b1_entropi\n",
    "c3_b1_entropi = HD_(p_c3_b1_liver, p_c3_b1_nonliver)\n",
    "print 'H(Dc3_b1) = ', c3_b1_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_c1_b1 = (float(len(c1_b1_liver))+float(len(c1_b1_nonliver)))/(float(jumlah_b1))\n",
    "print '\\np(c1_b1) = ', p_c1_b1\n",
    "p_c2_b1 = (float(len(c2_b1_liver))+float(len(c2_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(c2_b1) = ', p_c2_b1\n",
    "p_c3_b1 = (float(len(c3_b1_liver))+float(len(c3_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(c3_b1) = ', p_c3_b1\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut TP\n",
    "# =============================================================================\n",
    "\n",
    "tp_b1_entropi = c1_b1_entropi*p_c1_b1 + c2_b1_entropi*p_c2_b1 + c3_b1_entropi*p_c3_b1\n",
    "print '\\nEntropi Total Proteins (TP) b1 =', tp_b1_entropi\n",
    "tp_b1_ig = HD_b1_entropi - tp_b1_entropi\n",
    "print 'Information Gain Total Proteins (TP) b1 =', tp_b1_ig\n",
    "\n",
    "# =============================================================================\n",
    "# Atribut Albumin (ALB)\n",
    "# =============================================================================\n",
    "\n",
    "print '\\n# ======================================='\n",
    "print \"# Atribut Albumin (ALB), DB NORMAL\"\n",
    "print '# ======================================='\n",
    "\n",
    "d1_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd1' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH, Albumin (ALB) NORMAL (b1), LIVER (1) =',len(d1_b1_liver)\n",
    "d2_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd2' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL, Albumin (ALB) NORMAL (b1), LIVER (1) =',len(d2_b1_liver)\n",
    "d3_b1_liver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd3' and dt2[1] == 'b1' and dt2[4] == '1.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI, Albumin (ALB) NORMAL (b1), LIVER (1) =',len(d3_b1_liver)\n",
    "\n",
    "d1_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd1' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print '\\nJumlah kategori Total Proteins RENDAH, Albumin (ALB) NORMAL (b1), NONLIVER (2) =',len(d1_b1_nonliver)\n",
    "d2_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd2' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins NORMAL, Albumin (ALB) NORMAL (b1), NONLIVER (2) =',len(d2_b1_nonliver)\n",
    "d3_b1_nonliver = np.array([dt2 for dt2 in train_data_list if dt2[3] == 'd3' and dt2[1] == 'b1' and dt2[4] == '2.0'])\n",
    "print 'Jumlah kategori Total Proteins TINGGI, Albumin (ALB) NORMAL (b1), NONLIVER (2) =',len(d3_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Mencari Probabilitas setiap kategori atribut ALB di tiap kelas\n",
    "# =============================================================================\n",
    "p_d1_b1_liver = float(len(d1_b1_liver))/(float(len(d1_b1_liver))+float(len(d2_b1_liver))+float(len(d3_b1_liver)))\n",
    "print '\\nP(b1_liver|Dd1) = ',(p_d1_b1_liver)\n",
    "p_d2_b1_liver = float(len(d2_b1_liver))/(float(len(d1_b1_liver))+float(len(d2_b1_liver))+float(len(d3_b1_liver)))\n",
    "print 'P(b1_liver|Dd2) = ',(p_d2_b1_liver)\n",
    "p_d3_b1_liver = float(len(d3_b1_liver))/(float(len(d1_b1_liver))+float(len(d2_b1_liver))+float(len(d3_b1_liver)))\n",
    "print 'P(b1_liver|Dd3) = ',(p_d3_b1_liver)\n",
    "\n",
    "p_d1_b1_nonliver = float(len(d1_b1_nonliver))/(float(len(d1_b1_nonliver))+float(len(d2_b1_nonliver))+float(len(d3_b1_nonliver)))\n",
    "print '\\nP(b1_nonliver|Dd1) = ',(p_d1_b1_nonliver)\n",
    "p_d2_b1_nonliver = float(len(d2_b1_nonliver))/(float(len(d1_b1_nonliver))+float(len(d2_b1_nonliver))+float(len(d3_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Dd2) = ',(p_d2_b1_nonliver)\n",
    "p_d3_b1_nonliver = float(len(d3_b1_nonliver))/(float(len(d1_b1_nonliver))+float(len(d2_b1_nonliver))+float(len(d3_b1_nonliver)))\n",
    "print 'P(b1_nonliver|Dd3) = ',(p_d3_b1_nonliver)\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung entropi setiap atribut\n",
    "# =============================================================================\n",
    "d1_b1_entropi = HD_(p_d1_b1_liver, p_d1_b1_nonliver)\n",
    "print '\\nH(Dd1_b1) = ', d1_b1_entropi\n",
    "d2_b1_entropi = HD_(p_d2_b1_liver, p_d2_b1_nonliver)\n",
    "print 'H(Dd2_b1) = ', d2_b1_entropi\n",
    "d3_b1_entropi = HD_(p_d3_b1_liver, p_d3_b1_nonliver)\n",
    "print 'H(Dd3_b1) = ', d3_b1_entropi\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung probabilitas tiap kategori (kelas diabaikan)   \n",
    "# =============================================================================\n",
    "\n",
    "p_d1_b1 = (float(len(d1_b1_liver))+float(len(d1_b1_nonliver)))/(float(jumlah_b1))\n",
    "print '\\np(d1_b1) = ', p_d1_b1\n",
    "p_d2_b1 = (float(len(d2_b1_liver))+float(len(d2_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(d2_b1) = ', p_d2_b1\n",
    "p_d3_b1 = (float(len(d3_b1_liver))+float(len(d3_b1_nonliver)))/(float(jumlah_b1))\n",
    "print 'p(d3_b1) = ', p_d3_b1\n",
    "\n",
    "# =============================================================================\n",
    "# Menghitung nilai entropi dan gain dari atribut ALB\n",
    "# =============================================================================\n",
    "\n",
    "alb_b1_entropi = d1_b1_entropi*p_d1_b1 + d2_b1_entropi*p_d2_b1 + d3_b1_entropi*p_d3_b1\n",
    "print '\\nEntropi Albumin (ALB) b1 =', alb_b1_entropi\n",
    "alb_b1_ig = HD_b1_entropi - alb_b1_entropi\n",
    "print 'Information Gain Albumin (ALB) b1 =', alb_b1_ig\n",
    "\n",
    "print '\\nInformation Gain tertinggi untuk Bilirubin (DB) NORMAL adalah AGE, sehingga AGE menjadi node berikutnya'\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "b) Atribut yang menjadi root adalah Direct Birilubin"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "c) Hasil Tree dalam representasi teks\n",
    "\n",
    "- DB NORMAL\n",
    "    - AGE\n",
    "        - Anak-anak\n",
    "        - Remaja\n",
    "        - Dewasa\n",
    "        - Lansia\n",
    "- DB Tidak Normal\n",
    "    - LIVER"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2) Klasifikasi pada data_2 menggunakan library Decision Tree,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "('Categorical classes:', array(['a1', 'a2', 'a3', 'a4'], dtype='|S32'))\n",
      "('Integer classes:', array([0, 1, 2, 3], dtype=int64))\n",
      "\n",
      "\n",
      "('Categorical classes:', array(['b1', 'b2'], dtype='|S32'))\n",
      "('Integer classes:', array([0, 1], dtype=int64))\n",
      "\n",
      "\n",
      "('Categorical classes:', array(['c1', 'c2', 'c3'], dtype='|S32'))\n",
      "('Integer classes:', array([0, 1, 2], dtype=int64))\n",
      "\n",
      "\n",
      "('Categorical classes:', array(['d1', 'd2'], dtype='|S32'))\n",
      "('Integer classes:', array([0, 1], dtype=int64))\n",
      "\n",
      "\n",
      "('Categorical classes:', array(['1.0', '2.0'], dtype='|S32'))\n",
      "('Integer classes:', array([0, 1], dtype=int64))\n",
      "[['3' '0' '2' '1' '0']\n",
      " ['3' '0' '2' '0' '0']\n",
      " ['3' '0' '2' '1' '0']\n",
      " ...\n",
      " ['2' '0' '1' '0' '0']\n",
      " ['2' '0' '2' '1' '0']\n",
      " ['2' '0' '2' '1' '1']]\n",
      "(122L, 5L)\n",
      "(461L, 5L)\n",
      "['0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0'\n",
      " '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '1'\n",
      " '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0'\n",
      " '0' '0' '0' '0' '1' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0'\n",
      " '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '1' '0' '0'\n",
      " '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0'\n",
      " '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0' '0']\n",
      "('The prediction accuracy is: ', 72.88503253796095, '%')\n"
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    },
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     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import tree\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "import graphviz\n",
    "\n",
    "# =============================================================================\n",
    "# ENCODER setiap atribut\n",
    "# =============================================================================\n",
    "def encoder(atr_index):\n",
    "    n = atr_index    \n",
    "    enc = LabelEncoder()\n",
    "    \n",
    "    label_encoder = enc.fit(data2_list[:,n])\n",
    "    \n",
    "    print \"\\n\"\n",
    "    print (\"Categorical classes:\", label_encoder.classes_)\n",
    "    integer_classes = label_encoder.transform(label_encoder.classes_)\n",
    "    print (\"Integer classes:\", integer_classes)\n",
    "\n",
    "\n",
    "    t = label_encoder.transform(data2_list[:,n])\n",
    "    data2_list[:,n] = t\n",
    "\n",
    "\n",
    "age_encoder = encoder(0)\n",
    "db_encoder = encoder(1)\n",
    "tp_encoder = encoder(2)\n",
    "alb_encoder = encoder(3)\n",
    "class_encoder = encoder(4)\n",
    "\n",
    "print data2_list\n",
    "\n",
    "# =============================================================================\n",
    "# Pembagian data training dan testing adalah 80:20\n",
    "# dengan menggunakan teknik random sampling\n",
    "# =============================================================================\n",
    "\n",
    "np.random.seed(5)\n",
    "rand = np.random.rand(len(data2_list)) < 0.8\n",
    "train_data_list = data2_list[rand]\n",
    "test_data_list = data2_list[~rand]\n",
    "\n",
    "print test_data_list.shape\n",
    "print (train_data_list.shape)\n",
    "\n",
    "clf = tree.DecisionTreeClassifier(criterion = 'entropy').fit(train_data_list[:,:4],train_data_list[:,4:5])\n",
    "#print tree\n",
    "\n",
    "prediction = clf.predict(test_data_list[:,:4])\n",
    "\n",
    "print prediction\n",
    "print(\"The prediction accuracy is: \",clf.score(train_data_list[:,:4],train_data_list[:,4:5])*100,\"%\")\n",
    "\n",
    "dot_data = tree.export_graphviz(clf, out_file=None) \n",
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "                                        Pengukuran Performa Data Training"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "|   Kelas   | Acc-DT-man  | Acc-DT-lib | Spec-DT-man | Spec-DT-lib | Sens-DT-man | Sens-DT-lib | Time-DT-man | Time-DT-lib |\n",
    "|:---------:|:-----------:|:----------:|:-----------:|:-----------:|:-----------:|:-----------:|:-----------:|:-----------:|\n",
    "|   Liver   |      0      |      0     |      0      |      0      |      0      |      0      |      0      |      0      |\n",
    "| Non Liver |      0      |      0     |      0      |      0      |      0      |      0      |      0      |      0      |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "                                         Pengukuran Performa Data Testing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "|   Kelas   | Acc-DT-man  | Acc-DT-lib | Spec-DT-man | Spec-DT-lib | Sens-DT-man | Sens-DT-lib | Time-DT-man | Time-DT-lib |\n",
    "|:---------:|:-----------:|:----------:|:-----------:|:-----------:|:-----------:|:-----------:|:-----------:|:-----------:|\n",
    "|   Liver   |      0      |      0     |      0      |      0      |      0      |      0      |      0      |      0      |\n",
    "| Non Liver |      0      |      0     |      0      |      0      |      0      |      0      |      0      |      0      |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jawaban Soal Bonus"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1) Klasifikasi terhadap data_1 menggunakan library Decision Tree (misalnya: Sk-learn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "# =================================\n",
      "# ------------ DATA 1 ------------\n",
      "# =================================\n",
      "[[65.   0.1  6.8  3.3  1. ]\n",
      " [62.   5.5  7.5  3.2  1. ]\n",
      " [62.   4.1  7.   3.3  1. ]\n",
      " ...\n",
      " [52.   0.2  6.4  3.2  1. ]\n",
      " [31.   0.5  6.8  3.4  1. ]\n",
      " [38.   0.3  7.3  4.4  2. ]]\n",
      "DecisionTreeClassifier(class_weight=None, criterion='entropy', max_depth=None,\n",
      "            max_features=None, max_leaf_nodes=None,\n",
      "            min_impurity_decrease=0.0, min_impurity_split=None,\n",
      "            min_samples_leaf=1, min_samples_split=2,\n",
      "            min_weight_fraction_leaf=0.0, presort=False, random_state=None,\n",
      "            splitter='best')\n",
      "('The prediction accuracy is: ', 100.0, '%')\n"
     ]
    },
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       "<text text-anchor=\"middle\" x=\"1509\" y=\"-2399.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 274</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"823\" y=\"-2325.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 7.45</text>\r\n",
       "<text text-anchor=\"middle\" x=\"823\" y=\"-2310.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.999</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1509\" y=\"-2310.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.898</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1509\" y=\"-2295.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 207</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"599\" y=\"-2221.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 7.05</text>\r\n",
       "<text text-anchor=\"middle\" x=\"599\" y=\"-2206.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.985</text>\r\n",
       "<text text-anchor=\"middle\" x=\"599\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 49</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"823\" y=\"-2206.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.764</text>\r\n",
       "<text text-anchor=\"middle\" x=\"823\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 18</text>\r\n",
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       "<!-- 6&#45;&gt;44 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"405\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 20.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"405\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"405\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 41</text>\r\n",
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       "<!-- 7&#45;&gt;8 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"599\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 12.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"599\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.544</text>\r\n",
       "<text text-anchor=\"middle\" x=\"599\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 8</text>\r\n",
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       "<!-- 7&#45;&gt;41 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"163\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.684</text>\r\n",
       "<text text-anchor=\"middle\" x=\"163\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
       "<text text-anchor=\"middle\" x=\"163\" y=\"-1968.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [9, 2]</text>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"458,-2029 352,-2029 352,-1961 458,-1961 458,-2029\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"405\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"405\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.948</text>\r\n",
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       "<!-- 8&#45;&gt;14 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"46\" y=\"-1902.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"163\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.3</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"284\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 26.5</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"54\" y=\"-1382.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"277\" y=\"-1382.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"394\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.985</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"928\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"928\" y=\"-1790.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.811</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2221.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 4.15</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2206.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.391</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 13</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1623\" y=\"-2221.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.75</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1623\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 194</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1282\" y=\"-2095.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
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       "<!-- 56&#45;&gt;57 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 8.7</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1331,-2021.5 1239,-2021.5 1239,-1968.5 1331,-1968.5 1331,-2021.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1285\" y=\"-2006.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1285\" y=\"-1991.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1285\" y=\"-1976.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 1]</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1395\" y=\"-2006.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-1991.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1395\" y=\"-1976.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 0]</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1623\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 4.35</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1623\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.942</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1623\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 156</text>\r\n",
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       "<!-- 61&#45;&gt;62 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1864\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.65</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1864\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.742</text>\r\n",
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       "<!-- 61&#45;&gt;161 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1512\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.923</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 145</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1968.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [96, 49]</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1680\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 44.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1680\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.946</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1680\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
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       "<!-- 62&#45;&gt;154 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1894.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.971</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 54.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1790.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.722</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1775.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1760.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [4, 1]</text>\r\n",
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       "<!-- 64&#45;&gt;66 -->\r\n",
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       "<!-- 67 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1057\" y=\"-1694.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1057\" y=\"-1679.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1057\" y=\"-1664.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [3, 0]</text>\r\n",
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       "<!-- 66&#45;&gt;67 -->\r\n",
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       "<!-- 68 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1213,-1717 1121,-1717 1121,-1649 1213,-1649 1213,-1717\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1701.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.55</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1686.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1671.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1167\" y=\"-1656.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 1]</text>\r\n",
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       "<!-- 69 -->\r\n",
       "<g id=\"node70\" class=\"node\"><title>69</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1112\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1112\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1112\" y=\"-1560.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 1]</text>\r\n",
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       "<!-- 68&#45;&gt;69 -->\r\n",
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       "<!-- 70 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1268,-1605.5 1176,-1605.5 1176,-1552.5 1268,-1552.5 1268,-1605.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1222\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1222\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1222\" y=\"-1560.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 0]</text>\r\n",
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       "<!-- 68&#45;&gt;70 -->\r\n",
       "<g id=\"edge70\" class=\"edge\"><title>68&#45;&gt;70</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1184.86,-1648.88C1190.79,-1637.89 1197.4,-1625.62 1203.39,-1614.52\"/>\r\n",
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       "<!-- 72 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1365\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 59.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1365\" y=\"-1790.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.439</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1365\" y=\"-1775.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1365\" y=\"-1760.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [10, 1]</text>\r\n",
       "</g>\r\n",
       "<!-- 71&#45;&gt;72 -->\r\n",
       "<g id=\"edge72\" class=\"edge\"><title>71&#45;&gt;72</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1448.74,-1856.88C1437.48,-1847.62 1425.12,-1837.45 1413.44,-1827.85\"/>\r\n",
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       "<!-- 75 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1489\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 5.35</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1489\" y=\"-1790.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.924</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1489\" y=\"-1775.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 124</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1489\" y=\"-1760.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [82, 42]</text>\r\n",
       "</g>\r\n",
       "<!-- 71&#45;&gt;75 -->\r\n",
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       "<polygon fill=\"black\" stroke=\"black\" points=\"1492.5,-1831.3 1489,-1821.3 1485.5,-1831.3 1492.5,-1831.3\"/>\r\n",
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       "<!-- 73 -->\r\n",
       "<g id=\"node74\" class=\"node\"><title>73</title>\r\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1329,-1709.5 1231,-1709.5 1231,-1656.5 1329,-1656.5 1329,-1709.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1280\" y=\"-1694.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1280\" y=\"-1679.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1280\" y=\"-1664.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [10, 0]</text>\r\n",
       "</g>\r\n",
       "<!-- 72&#45;&gt;73 -->\r\n",
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       "<path fill=\"none\" stroke=\"black\" d=\"M1337.4,-1752.88C1327.96,-1741.56 1317.4,-1728.88 1307.93,-1717.52\"/>\r\n",
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       "<!-- 74 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1439,-1709.5 1347,-1709.5 1347,-1656.5 1439,-1656.5 1439,-1709.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1393\" y=\"-1694.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1393\" y=\"-1679.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1393\" y=\"-1664.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 1]</text>\r\n",
       "</g>\r\n",
       "<!-- 72&#45;&gt;74 -->\r\n",
       "<g id=\"edge74\" class=\"edge\"><title>72&#45;&gt;74</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1374.09,-1752.88C1377.05,-1742.11 1380.34,-1730.11 1383.34,-1719.18\"/>\r\n",
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       "<!-- 76 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1563,-1717 1457,-1717 1457,-1649 1563,-1649 1563,-1717\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1701.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1686.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.722</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1671.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1656.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 4]</text>\r\n",
       "</g>\r\n",
       "<!-- 75&#45;&gt;76 -->\r\n",
       "<g id=\"edge76\" class=\"edge\"><title>75&#45;&gt;76</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1495.82,-1752.88C1497.51,-1744.69 1499.34,-1735.79 1501.11,-1727.19\"/>\r\n",
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       "<!-- 79 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1687,-1717 1581,-1717 1581,-1649 1687,-1649 1687,-1717\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1634\" y=\"-1701.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1634\" y=\"-1686.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.904</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1634\" y=\"-1671.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 119</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1634\" y=\"-1656.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [81, 38]</text>\r\n",
       "</g>\r\n",
       "<!-- 75&#45;&gt;79 -->\r\n",
       "<g id=\"edge79\" class=\"edge\"><title>75&#45;&gt;79</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1536.08,-1752.88C1549.5,-1743.44 1564.25,-1733.06 1578.14,-1723.29\"/>\r\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"1580.5,-1725.92 1586.66,-1717.3 1576.47,-1720.19 1580.5,-1725.92\"/>\r\n",
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       "<!-- 77 -->\r\n",
       "<g id=\"node78\" class=\"node\"><title>77</title>\r\n",
       "<polygon fill=\"none\" stroke=\"black\" points=\"1448,-1605.5 1356,-1605.5 1356,-1552.5 1448,-1552.5 1448,-1605.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1402\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1402\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1402\" y=\"-1560.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 4]</text>\r\n",
       "</g>\r\n",
       "<!-- 76&#45;&gt;77 -->\r\n",
       "<g id=\"edge77\" class=\"edge\"><title>76&#45;&gt;77</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1474.94,-1648.88C1462.59,-1637.23 1448.74,-1624.14 1436.45,-1612.53\"/>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1558,-1605.5 1466,-1605.5 1466,-1552.5 1558,-1552.5 1558,-1605.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1560.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 0]</text>\r\n",
       "</g>\r\n",
       "<!-- 76&#45;&gt;78 -->\r\n",
       "<g id=\"edge78\" class=\"edge\"><title>76&#45;&gt;78</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1510.65,-1648.88C1510.86,-1638.22 1511.09,-1626.35 1511.3,-1615.52\"/>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1685,-1613 1579,-1613 1579,-1545 1685,-1545 1685,-1613\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1597.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.45</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1582.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.567</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1567.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 15</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1552.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [13, 2]</text>\r\n",
       "</g>\r\n",
       "<!-- 79&#45;&gt;80 -->\r\n",
       "<g id=\"edge80\" class=\"edge\"><title>79&#45;&gt;80</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1633.35,-1648.88C1633.19,-1640.78 1633.02,-1631.98 1632.85,-1623.47\"/>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1866,-1613 1760,-1613 1760,-1545 1866,-1545 1866,-1613\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1597.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.55</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1582.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.931</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1567.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 104</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1552.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [68, 36]</text>\r\n",
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       "<!-- 79&#45;&gt;87 -->\r\n",
       "<g id=\"edge87\" class=\"edge\"><title>79&#45;&gt;87</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1687.22,-1651.67C1707.33,-1640.21 1730.38,-1627.08 1751.21,-1615.21\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"1515\" y=\"-1486.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1515\" y=\"-1471.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1515\" y=\"-1456.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 1]</text>\r\n",
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       "<!-- 80&#45;&gt;81 -->\r\n",
       "<g id=\"edge81\" class=\"edge\"><title>80&#45;&gt;81</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1594.01,-1544.88C1580.52,-1533.12 1565.35,-1519.89 1551.94,-1508.2\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 5.55</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.371</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1463.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 14</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1632\" y=\"-1448.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [13, 1]</text>\r\n",
       "</g>\r\n",
       "<!-- 80&#45;&gt;82 -->\r\n",
       "<g id=\"edge82\" class=\"edge\"><title>80&#45;&gt;82</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1389.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 44.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1359.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1512\" y=\"-1278.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.35</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.999</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1813\" y=\"-1463.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 31</text>\r\n",
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       "<!-- 87&#45;&gt;88 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2009\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 40.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2009\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.866</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2009\" y=\"-1448.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [52, 21]</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1389.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 51.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.975</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1359.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 27</text>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"1915,-1397.5 1823,-1397.5 1823,-1344.5 1915,-1344.5 1915,-1397.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"1869\" y=\"-1382.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1869\" y=\"-1367.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1285.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 41.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.863</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1255.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 21</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1240.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [15, 6]</text>\r\n",
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       "<!-- 89&#45;&gt;90 -->\r\n",
       "<g id=\"edge90\" class=\"edge\"><title>89&#45;&gt;90</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1712.39,-1336.88C1701.31,-1327.62 1689.15,-1317.45 1677.66,-1307.85\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1285.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.05</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.65</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1255.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1752\" y=\"-1240.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 5]</text>\r\n",
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       "<!-- 89&#45;&gt;99 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1181.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 33.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1166.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.994</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1151.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1510\" y=\"-1136.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [5, 6]</text>\r\n",
       "</g>\r\n",
       "<!-- 90&#45;&gt;91 -->\r\n",
       "<g id=\"edge91\" class=\"edge\"><title>90&#45;&gt;91</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M1591.04,-1232.88C1580.14,-1223.62 1568.18,-1213.45 1556.88,-1203.85\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1159.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1630\" y=\"-1144.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [10, 0]</text>\r\n",
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       "<!-- 90&#45;&gt;98 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1506\" y=\"-1055.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1506\" y=\"-1040.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [2, 0]</text>\r\n",
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       "<!-- 91&#45;&gt;92 -->\r\n",
       "<g id=\"edge92\" class=\"edge\"><title>91&#45;&gt;92</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"1623\" y=\"-1077.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 3.15</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1623\" y=\"-1062.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1623\" y=\"-1047.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 9</text>\r\n",
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       "<!-- 91&#45;&gt;93 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"1595\" y=\"-966.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1595\" y=\"-951.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1712\" y=\"-973.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 3.55</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1712\" y=\"-958.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.971</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1657\" y=\"-862.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1657\" y=\"-847.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1911\" y=\"-1278.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1977\" y=\"-1077.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.15</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1882\" y=\"-966.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1992\" y=\"-966.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2300\" y=\"-1077.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.15</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2589\" y=\"-750.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.696</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2761\" y=\"-557.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.95</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2764\" y=\"-141.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 7.05</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1864\" y=\"-2006.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2115\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.15</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2115\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.877</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2115\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 27</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2115\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.9</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2115\" y=\"-1894.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2115\" y=\"-1879.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2294\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 3.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2294\" y=\"-1894.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.672</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2294\" y=\"-1879.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 17</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2053\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 3.2</text>\r\n",
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       "<!-- 164&#45;&gt;168 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2230\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2230\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 4</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2294\" y=\"-1798.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2294\" y=\"-1783.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2411\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.85</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2411\" y=\"-1775.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2409\" y=\"-1694.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2409\" y=\"-1679.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2526\" y=\"-1701.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 7.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2526\" y=\"-1686.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.722</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2526\" y=\"-1671.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2426\" y=\"-1590.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2426\" y=\"-1575.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2543\" y=\"-1597.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 42.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2543\" y=\"-1582.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.971</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2543\" y=\"-1567.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2543\" y=\"-1552.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [3, 2]</text>\r\n",
       "</g>\r\n",
       "<!-- 177&#45;&gt;179 -->\r\n",
       "<g id=\"edge179\" class=\"edge\"><title>177&#45;&gt;179</title>\r\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M2531.52,-1648.88C2532.89,-1640.69 2534.37,-1631.79 2535.8,-1623.19\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"2436\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= 35.5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2436\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2436\" y=\"-1463.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2436\" y=\"-1448.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 2]</text>\r\n",
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       "<!-- 179&#45;&gt;180 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2553\" y=\"-1486.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2553\" y=\"-1471.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2553\" y=\"-1456.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [2, 0]</text>\r\n",
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       "<!-- 179&#45;&gt;183 -->\r\n",
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       "<path fill=\"none\" stroke=\"black\" d=\"M2546.25,-1544.88C2547.29,-1534.22 2548.46,-1522.35 2549.52,-1511.52\"/>\r\n",
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       "<text text-anchor=\"middle\" x=\"2394\" y=\"-1382.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2394\" y=\"-1367.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<!-- 180&#45;&gt;181 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"2550,-1397.5 2458,-1397.5 2458,-1344.5 2550,-1344.5 2550,-1397.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2504\" y=\"-1382.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2504\" y=\"-1367.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<!-- 180&#45;&gt;182 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"2785,-2333.5 2693,-2333.5 2693,-2280.5 2785,-2280.5 2785,-2333.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2739\" y=\"-2318.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2739\" y=\"-2303.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
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       "<!-- 184&#45;&gt;185 -->\r\n",
       "<g id=\"edge185\" class=\"edge\"><title>184&#45;&gt;185</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2855\" y=\"-2325.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.85</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2855\" y=\"-2310.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2855\" y=\"-2295.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 28</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2736\" y=\"-2221.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.55</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2736\" y=\"-2206.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.881</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2736\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 10</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2860\" y=\"-2191.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 18</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2620\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.544</text>\r\n",
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       "<!-- 187&#45;&gt;188 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2505\" y=\"-2006.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2505\" y=\"-1991.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2622\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.25</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2622\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2622\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
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       "<!-- 188&#45;&gt;190 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2528\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.2</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2528\" y=\"-1894.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2528\" y=\"-1879.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<!-- 190&#45;&gt;191 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2638\" y=\"-1902.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2638\" y=\"-1887.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"2574,-1813.5 2482,-1813.5 2482,-1760.5 2574,-1760.5 2574,-1813.5\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2528\" y=\"-1798.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2528\" y=\"-1783.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<!-- 191&#45;&gt;192 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2638\" y=\"-1798.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2638\" y=\"-1783.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2638\" y=\"-1768.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 1]</text>\r\n",
       "</g>\r\n",
       "<!-- 191&#45;&gt;193 -->\r\n",
       "<g id=\"edge193\" class=\"edge\"><title>191&#45;&gt;193</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2858\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 6.6</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2858\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.684</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2858\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 11</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2858\" y=\"-2072.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [2, 9]</text>\r\n",
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       "<!-- 196&#45;&gt;197 -->\r\n",
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       "<polygon fill=\"none\" stroke=\"black\" points=\"3035,-2133 2929,-2133 2929,-2065 3035,-2065 3035,-2133\"/>\r\n",
       "<text text-anchor=\"middle\" x=\"2982\" y=\"-2117.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.3</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2982\" y=\"-2102.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.863</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2982\" y=\"-2087.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
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       "<!-- 196&#45;&gt;206 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2741\" y=\"-2006.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2741\" y=\"-1991.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2741\" y=\"-1976.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [0, 5]</text>\r\n",
       "</g>\r\n",
       "<!-- 197&#45;&gt;198 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2858\" y=\"-2013.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= 0.15</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2858\" y=\"-1998.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2858\" y=\"-1983.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
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       "<!-- 197&#45;&gt;199 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2748\" y=\"-1902.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2748\" y=\"-1887.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<!-- 199&#45;&gt;200 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2865\" y=\"-1909.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 3.1</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2865\" y=\"-1894.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.722</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2865\" y=\"-1879.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 5</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2865\" y=\"-1864.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [1, 4]</text>\r\n",
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       "<!-- 199&#45;&gt;201 -->\r\n",
       "<g id=\"edge201\" class=\"edge\"><title>199&#45;&gt;201</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2810\" y=\"-1805.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 2.95</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2810\" y=\"-1790.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2810\" y=\"-1775.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<!-- 201&#45;&gt;202 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2920\" y=\"-1783.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 3</text>\r\n",
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       "<!-- 201&#45;&gt;205 -->\r\n",
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      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import csv\n",
    "import numpy as np\n",
    "from sklearn import tree\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "import graphviz\n",
    "\n",
    "ILDPdataset = []\n",
    "\n",
    "with open('Indian Liver Patient Dataset (ILPD).csv', 'rb') as csvfile:\n",
    "    csv_reader = csv.reader(csvfile, delimiter=' ')\n",
    "    for row in csv_reader:\n",
    "        for rr in row:\n",
    "            rrTemp = rr.split(',')\n",
    "            ILDPdataset.append(rrTemp)\n",
    "    \n",
    "csvfile.close()\n",
    "\n",
    "age_list = [int(row[0]) for row in ILDPdataset] #Age\tAge of the patient \n",
    "gender_list = [float(0) if row[1]=='Male' else float(1) for row in ILDPdataset] #Gender\tGender of the patient Male = 0 Female = 1\n",
    "tb_list = [float(row[2]) for row in ILDPdataset] #TB\tTotal Bilirubin \n",
    "db_list = [float(row[3]) for row in ILDPdataset] #DB\tDirect Bilirubin\n",
    "aap_list = [float(row[4]) for row in ILDPdataset] #Alkphos Alkaline Phosphotase\n",
    "sgpt_list = [float(row[5]) for row in ILDPdataset] #Sgpt Alamine Aminotransferase \n",
    "sgot_list = [float(row[6]) for row in ILDPdataset] #Sgot Aspartate Aminotransferase \n",
    "tp_list = [float(row[7]) for row in ILDPdataset] #TP\tTotal Protiens \n",
    "alb_list = [float(row[8]) for row in ILDPdataset] #ALB\tAlbumin \n",
    "ag_list = [float (0) if row[9] == '' else float(row[9]) for row in ILDPdataset] #A/G Ratio\tAlbumin and Globulin Ratio, change null value to 0\n",
    "class_list = [float(row[10]) for row in ILDPdataset] #Selector field used to split the data into two sets (labeled by the experts) \n",
    "\n",
    "\n",
    "print '\\n# ================================='\n",
    "print \"# ------------ DATA 1 ------------\"\n",
    "print '# ================================='\n",
    "data1_list = np.stack((age_list, db_list, tp_list, alb_list, class_list), axis = -1)\n",
    "print (data1_list)\n",
    "\n",
    "np.random.seed(5)\n",
    "rand = np.random.rand(len(data1_list)) < 0.8\n",
    "train_data_list = data1_list[rand]\n",
    "test_data_list = data1_list[~rand]\n",
    "\n",
    "#print test_data_list.shape\n",
    "#print (train_data_list.shape)\n",
    "\n",
    "clf = tree.DecisionTreeClassifier(criterion = 'entropy').fit(train_data_list[:,:4],train_data_list[:,4:5])\n",
    "print clf\n",
    "\n",
    "prediction = clf.predict(test_data_list[:,:4])\n",
    "\n",
    "#print prediction\n",
    "print(\"The prediction accuracy is: \",clf.score(train_data_list[:,:4],train_data_list[:,4:5])*100,\"%\")\n",
    "\n",
    "dot_data = tree.export_graphviz(clf, out_file=None) \n",
    "graph = graphviz.Source(dot_data)\n",
    "graph\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2) Reduksi dimensi menggunakan PCA (boleh menggunakan library) pada data_1 dengan jumlah komponen harus meng-capture minimal 97% dari total variance data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Data matrix normalization\n",
      "[[ 1.22501864 -0.5016476   0.31242333  0.21084945]\n",
      " [ 1.03927138  0.87407842  0.49754821  0.21084945]\n",
      " [ 1.65842892  0.15182226  0.77523553 -0.91940169]\n",
      " ...\n",
      " [ 0.91543987 -0.5016476  -0.52063863 -1.92406937]\n",
      " [-0.32287521 -0.5016476  -0.42807619  0.08526599]\n",
      " [-0.880117   -0.364075    0.31242333  0.33643291]]\n",
      "\n",
      "f(r) (Normalization)\n",
      "[0.49359635 0.74735956 0.95569212 1.        ]\n",
      "\n",
      "PCA (Normalization) dengan capture data 97%\n",
      "[[-0.01773915 -0.97119407 -0.97323112 -0.06062524]\n",
      " [ 0.07251159  0.35012933 -1.41645379  0.04381755]\n",
      " [ 0.71944808 -0.45453364 -1.55364998 -1.04004397]\n",
      " ...\n",
      " [ 1.82570276 -0.77228886 -0.02317659 -1.064251  ]\n",
      " [ 0.00474765 -0.35323126  0.60440432  0.23731578]\n",
      " [-0.794667    0.08025368  0.68697263 -0.0899127 ]]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "train_data_standard = StandardScaler().fit_transform(train_data_list[:,:4])\n",
    "print '\\nData matrix normalization\\n', train_data_standard\n",
    "\n",
    "# PCA sebelum pemilihan jumlah komponen harus 97% dari total variance data asli\n",
    "pca1_norm = PCA()\n",
    "principalComponents_norm = pca1_norm.fit_transform(train_data_standard)\n",
    "\n",
    "print '\\nf(r) (Normalization)\\n', pca1_norm.explained_variance_ratio_.cumsum()\n",
    "\n",
    "# Setelah dipilih jumlah komponen\n",
    "pca2_norm = PCA(n_components=0.97, svd_solver='full')\n",
    "principalComponents2_norm = pca2_norm.fit_transform(train_data_standard)\n",
    "print \"\\nPCA (Normalization) dengan capture data 97%\\n\", principalComponents2_norm\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3) Klasifikasi menggunakan library Decision Tree pada data hasil reduksi nomor 2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DecisionTreeClassifier(class_weight=None, criterion='entropy', max_depth=None,\n",
      "            max_features=None, max_leaf_nodes=None,\n",
      "            min_impurity_decrease=0.0, min_impurity_split=None,\n",
      "            min_samples_leaf=1, min_samples_split=2,\n",
      "            min_weight_fraction_leaf=0.0, presort=False, random_state=None,\n",
      "            splitter='best')\n",
      "('The prediction accuracy is: ', 100.0, '%')\n"
     ]
    },
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       "<text text-anchor=\"middle\" x=\"1706\" y=\"-1389.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= &#45;0.768</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1706\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.987</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1706\" y=\"-1359.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 44</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1880\" y=\"-1389.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 0.409</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1880\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.65</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1529\" y=\"-1285.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 0.47</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1529\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.937</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1529\" y=\"-1255.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 17</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1706\" y=\"-1285.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= &#45;0.717</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1706\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.877</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1405\" y=\"-1181.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= &#45;1.09</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1405\" y=\"-1166.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1405\" y=\"-1151.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1529\" y=\"-1181.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= &#45;0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1529\" y=\"-1166.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.684</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1646\" y=\"-1174.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1763\" y=\"-1166.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.959</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1759\" y=\"-1077.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 0.369</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1758\" y=\"-958.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.971</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1875\" y=\"-966.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1700\" y=\"-869.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= &#45;0.465</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1700\" y=\"-854.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.994</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1817\" y=\"-862.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1641\" y=\"-750.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.954</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1758\" y=\"-758.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1583\" y=\"-646.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.971</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1579\" y=\"-446.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1880\" y=\"-1174.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1997\" y=\"-1181.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= &#45;1.103</text>\r\n",
       "<text text-anchor=\"middle\" x=\"1997\" y=\"-1166.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.918</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"1986\" y=\"-1070.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2096\" y=\"-1070.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2096\" y=\"-1055.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2435\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= &#45;1.882</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2435\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.929</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2435\" y=\"-1463.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 29</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2435\" y=\"-1448.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [19, 10]</text>\r\n",
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       "<!-- 106&#45;&gt;107 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2559\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= &#45;0.028</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2559\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.371</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2559\" y=\"-1463.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 70</text>\r\n",
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       "<!-- 106&#45;&gt;128 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2317\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.755</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2317\" y=\"-1359.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 23</text>\r\n",
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       "<!-- 107&#45;&gt;108 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2438\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.65</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2438\" y=\"-1359.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 6</text>\r\n",
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       "<!-- 107&#45;&gt;123 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2206\" y=\"-1285.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= &#45;2.106</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2206\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.896</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2206\" y=\"-1255.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 16</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2206\" y=\"-1240.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">value = [11, 5]</text>\r\n",
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       "<!-- 108&#45;&gt;109 -->\r\n",
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       "<text text-anchor=\"middle\" x=\"2323\" y=\"-1263.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 7</text>\r\n",
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       "<!-- 108&#45;&gt;122 -->\r\n",
       "<g id=\"edge122\" class=\"edge\"><title>108&#45;&gt;122</title>\r\n",
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       "<text text-anchor=\"middle\" x=\"2318\" y=\"-654.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"2318\" y=\"-639.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 1</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"2543\" y=\"-1270.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3125\" y=\"-1597.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[3] &lt;= 0.357</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3125\" y=\"-1582.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3125\" y=\"-1567.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 95</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3305\" y=\"-1582.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.567</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3067\" y=\"-1493.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[0] &lt;= &#45;1.738</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3067\" y=\"-1478.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.996</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3064\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.811</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3188\" y=\"-1374.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.979</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3238\" y=\"-973.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[1] &lt;= &#45;0.499</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3276\" y=\"-542.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3697\" y=\"-973.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">X[2] &lt;= 1.155</text>\r\n",
       "<text text-anchor=\"middle\" x=\"3697\" y=\"-958.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.779</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3591\" y=\"-646.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 1.0</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3706\" y=\"-639.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">samples = 2</text>\r\n",
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       "<text text-anchor=\"middle\" x=\"3929\" y=\"-862.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">entropy = 0.0</text>\r\n",
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       "<graphviz.files.Source at 0x8b1eba8>"
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     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf2 = tree.DecisionTreeClassifier(criterion = 'entropy').fit(principalComponents2_norm,train_data_list[:,4:5])\n",
    "print clf2\n",
    "\n",
    "prediction = clf2.predict(test_data_list[:,:4])\n",
    "\n",
    "#print prediction\n",
    "print(\"The prediction accuracy is: \",clf2.score(principalComponents2_norm,train_data_list[:,4:5])*100,\"%\")\n",
    "\n",
    "dot_data = tree.export_graphviz(clf2, out_file=None) \n",
    "graph = graphviz.Source(dot_data)\n",
    "graph"
   ]
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    "4)"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "                                                 Pengukuran Performa Data Training"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
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    "|   Kelas   | Ave-Acc-DT  | Ave-Acc-DT-PCA | Ave-Spec-DT | Ave-Spec-DT-PCA | Ave-Sens-DT | Ave-Sens-DT-PCA | Time-DT | Time-DT-PCA |\n",
    "|:---------:|:-----------:|:--------------:|:-----------:|:---------------:|:-----------:|:---------------:|:-------:|:-----------:|\n",
    "|   Liver   |      0      |        0       |      0      |        0        |      0      |        0        |    0    |      0      |\n",
    "| Non Liver |      0      |        0       |      0      |        0        |      0      |        0        |    0    |      0      |"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "                                                Pengukuran Performa Data Testing"
   ]
  },
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   "cell_type": "markdown",
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    "|   Kelas   | Ave-Acc-DT  | Ave-Acc-DT-PCA | Ave-Spec-DT | Ave-Spec-DT-PCA | Ave-Sens-DT | Ave-Sens-DT-PCA | Time-DT | Time-DT-PCA |\n",
    "|:---------:|:-----------:|:--------------:|:-----------:|:---------------:|:-----------:|:---------------:|:-------:|:-----------:|\n",
    "|   Liver   |      0      |        0       |      0      |        0        |      0      |        0        |    0    |      0      |\n",
    "| Non Liver |      0      |        0       |      0      |        0        |      0      |        0        |    0    |      0      |"
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5)"
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