solutionsEX/Ex_5_3.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# <span style=\"color:rgb(213,80,0)\">Theoretical individual and simultaneous size</span>\n",
    "\n",
    "This file creates Figures A.15 and A.16\n",
    "\n",
    "## Create Figure A.15: plot of the size when p=2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "source": [
    "close all\n",
    "p=2;\n",
    "n=30:5000;\n",
    "lwd=2;\n",
    "pro=1000*(1-betacdf(n*chi2inv(0.99,1)./(n-p).^2,0.5,(n-p-1)/2));\n",
    "plot(n,pro,'--','LineWidth',lwd)\n",
    "ylim([0 10.1])\n",
    "xlabel('Sample size')\n",
    "hold('on')\n",
    "pstar=(betacdf(n.*chi2inv(1-0.01./n,1)./((n-p).^2),0.5,(n-p-1)/2));\n",
    "ps=1000*(1-pstar.^n);\n",
    "disp(1000*ps)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0e+03 *\n",
       "  Columns 1 through 3.276\n",
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9.5278    9.5279    9.5280    9.5281    9.5283    9.5284    9.5285    9.5286    9.5287    9.5289    9.5290    9.5291    9.5292    9.5293    9.5294    9.5296    9.5297    9.5298    9.5299    9.5300    9.5301    9.5303    9.5304    9.5305    9.5306    9.5307    9.5308    9.5310    9.5311    9.5312    9.5313    9.5314    9.5315    9.5316    9.5318    9.5319    9.5320    9.5321    9.5322    9.5323    9.5325    9.5326    9.5327    9.5328    9.5329    9.5330    9.5331    9.5333    9.5334    9.5335    9.5336    9.5337    9.5338    9.5339    9.5341    9.5342    9.5343    9.5344    9.5345    9.5346    9.5347    9.5349    9.5350    9.5351    9.5352    9.5353    9.5354    9.5355    9.5356    9.5358    9.5359    9.5360    9.5361    9.5362    9.5363    9.5364    9.5365    9.5367    9.5368    9.5369    9.5370    9.5371    9.5372    9.5373    9.5374    9.5376    9.5377    9.5378    9.5379    9.5380    9.5381    9.5382    9.5383    9.5385    9.5386    9.5387    9.5388    9.5389    9.5390    9.5391    9.5392    9.5393    9.5395    9.5396    9.5397    9.5398    9.5399    9.5400    9.5401    9.5402    9.5403    9.5404    9.5406    9.5407    9.5408    9.5409    9.5410    9.5411    9.5412    9.5413    9.5414    9.5415    9.5417    9.5418    9.5419    9.5420    9.5421    9.5422    9.5423    9.5424    9.5425    9.5426    9.5427    9.5429    9.5430    9.5431    9.5432    9.5433    9.5434    9.5435    9.5436    9.5437    9.5438    9.5439    9.5441    9.5442    9.5443    9.5444    9.5445    9.5446    9.5447    9.5448    9.5449    9.5450    9.5451    9.5452    9.5453    9.5455    9.5456    9.5457    9.5458    9.5459    9.5460    9.5461    9.5462    9.5463    9.5464    9.5465    9.5466    9.5467    9.5468    9.5469    9.5471    9.5472    9.5473    9.5474    9.5475    9.5476    9.5477    9.5478    9.5479    9.5480    9.5481    9.5482    9.5483    9.5484    9.5485    9.5486    9.5487    9.5489    9.5490    9.5491    9.5492    9.5493    9.5494    9.5495    9.5496    9.5497    9.5498    9.5499    9.5500    9.5501    9.5502    9.5503    9.5504    9.5505    9.5506    9.5507    9.5508    9.5510    9.5511    9.5512    9.5513    9.5514    9.5515    9.5516    9.5517    9.5518    9.5519    9.5520    9.5521    9.5522    9.5523    9.5524    9.5525    9.5526    9.5527    9.5528    9.5529    9.5530    9.5531    9.5532    9.5533    9.5534    9.5535    9.5536    9.5537    9.5538    9.5539    9.5540    9.5542    9.5543    9.5544    9.5545    9.5546    9.5547    9.5548    9.5549    9.5550    9.5551    9.5552    9.5553    9.5554    9.5555    9.5556    9.5557    9.5558    9.5559    9.5560    9.5561    9.5562    9.5563    9.5564    9.5565    9.5566    9.5567    9.5568    9.5569    9.5570    9.5571    9.5572    9.5573    9.5574    9.5575    9.5576    9.5577    9.5578    9.5579    9.5580    9.5581    9.5582    9.5583    9.5584    9.5585    9.5586    9.5587    9.5588    9.5589    9.5590    9.5591    9.5592    9.5593    9.5594    9.5595    9.5596    9.5597    9.5598    9.5599    9.5600    9.5601    9.5602    9.5603    9.5604    9.5605    9.5606    9.5607    9.5608    9.5609    9.5610    9.5611    9.5612    9.5613    9.5614    9.5615    9.5616    9.5617    9.5618    9.5619    9.5620    9.5621    9.5622    9.5623    9.5624    9.5625    9.5625    9.5626    9.5627    9.5628    9.5629    9.5630    9.5631    9.5632    9.5633    9.5634    9.5635    9.5636    9.5637    9.5638    9.5639    9.5640    9.5641    9.5642    9.5643    9.5644    9.5645    9.5646    9.5647    9.5648    9.5649    9.5650    9.5651    9.5652    9.5653    9.5654    9.5655    9.5656    9.5656    9.5657    9.5658    9.5659    9.5660    9.5661    9.5662    9.5663    9.5664    9.5665    9.5666    9.5667    9.5668    9.5669    9.5670    9.5671    9.5672    9.5673    9.5674    9.5675    9.5676\n",
       "  Columns 3.277 through 4.971\n",
       "    9.5677    9.5677    9.5678    9.5679    9.5680    9.5681    9.5682    9.5683    9.5684    9.5685    9.5686    9.5687    9.5688    9.5689    9.5690    9.5691    9.5692    9.5693    9.5694    9.5694    9.5695    9.5696    9.5697    9.5698    9.5699    9.5700    9.5701    9.5702    9.5703    9.5704    9.5705    9.5706    9.5707    9.5708    9.5708    9.5709    9.5710    9.5711    9.5712    9.5713    9.5714    9.5715    9.5716    9.5717    9.5718    9.5719    9.5720    9.5721    9.5721    9.5722    9.5723    9.5724    9.5725    9.5726    9.5727    9.5728    9.5729    9.5730    9.5731    9.5732    9.5733    9.5733    9.5734    9.5735    9.5736    9.5737    9.5738    9.5739    9.5740    9.5741    9.5742    9.5743    9.5744    9.5744    9.5745    9.5746    9.5747    9.5748    9.5749    9.5750    9.5751    9.5752    9.5753    9.5754    9.5754    9.5755    9.5756    9.5757    9.5758    9.5759    9.5760    9.5761    9.5762    9.5763    9.5763    9.5764    9.5765    9.5766    9.5767    9.5768    9.5769    9.5770    9.5771    9.5772    9.5772    9.5773    9.5774    9.5775    9.5776    9.5777    9.5778    9.5779    9.5780    9.5781    9.5781    9.5782    9.5783    9.5784    9.5785    9.5786    9.5787    9.5788    9.5789    9.5789    9.5790    9.5791    9.5792    9.5793    9.5794    9.5795    9.5796    9.5797    9.5797    9.5798    9.5799    9.5800    9.5801    9.5802    9.5803    9.5804    9.5804    9.5805    9.5806    9.5807    9.5808    9.5809    9.5810    9.5811    9.5812    9.5812    9.5813    9.5814    9.5815    9.5816    9.5817    9.5818    9.5819    9.5819    9.5820    9.5821    9.5822    9.5823    9.5824    9.5825    9.5826    9.5826    9.5827    9.5828    9.5829    9.5830    9.5831    9.5832    9.5832    9.5833    9.5834    9.5835    9.5836    9.5837    9.5838    9.5839    9.5839    9.5840    9.5841    9.5842    9.5843    9.5844    9.5845    9.5845    9.5846    9.5847    9.5848    9.5849    9.5850    9.5851    9.5851    9.5852    9.5853    9.5854    9.5855    9.5856    9.5857    9.5857    9.5858    9.5859    9.5860    9.5861    9.5862    9.5862    9.5863    9.5864    9.5865    9.5866    9.5867    9.5868    9.5868    9.5869    9.5870    9.5871    9.5872    9.5873    9.5874    9.5874    9.5875    9.5876    9.5877    9.5878    9.5879    9.5879    9.5880    9.5881    9.5882    9.5883    9.5884    9.5884    9.5885    9.5886    9.5887    9.5888    9.5889    9.5890    9.5890    9.5891    9.5892    9.5893    9.5894    9.5895    9.5895    9.5896    9.5897    9.5898    9.5899    9.5900    9.5900    9.5901    9.5902    9.5903    9.5904    9.5905    9.5905    9.5906    9.5907    9.5908    9.5909    9.5909    9.5910    9.5911    9.5912    9.5913    9.5914    9.5914    9.5915    9.5916    9.5917    9.5918    9.5919    9.5919    9.5920    9.5921    9.5922    9.5923    9.5923    9.5924    9.5925    9.5926    9.5927    9.5928    9.5928    9.5929    9.5930    9.5931    9.5932    9.5932    9.5933    9.5934    9.5935    9.5936    9.5937    9.5937    9.5938    9.5939    9.5940    9.5941    9.5941    9.5942    9.5943    9.5944    9.5945    9.5945    9.5946    9.5947    9.5948    9.5949    9.5950    9.5950    9.5951    9.5952    9.5953    9.5954    9.5954    9.5955    9.5956    9.5957    9.5958    9.5958    9.5959    9.5960    9.5961    9.5962    9.5962    9.5963    9.5964    9.5965    9.5966    9.5966    9.5967    9.5968    9.5969    9.5970    9.5970    9.5971    9.5972    9.5973    9.5974    9.5974    9.5975    9.5976    9.5977    9.5978    9.5978    9.5979    9.5980    9.5981    9.5981    9.5982    9.5983    9.5984    9.5985    9.5985    9.5986    9.5987    9.5988    9.5989    9.5989    9.5990    9.5991    9.5992    9.5993    9.5993    9.5994    9.5995    9.5996    9.5996    9.5997    9.5998    9.5999    9.6000    9.6000    9.6001    9.6002    9.6003    9.6003    9.6004    9.6005    9.6006    9.6007    9.6007    9.6008    9.6009    9.6010    9.6010    9.6011    9.6012    9.6013    9.6014    9.6014    9.6015    9.6016    9.6017    9.6017    9.6018    9.6019    9.6020    9.6021    9.6021    9.6022    9.6023    9.6024    9.6024    9.6025    9.6026    9.6027    9.6027    9.6028    9.6029    9.6030    9.6031    9.6031    9.6032    9.6033    9.6034    9.6034    9.6035    9.6036    9.6037    9.6037    9.6038    9.6039    9.6040    9.6041    9.6041    9.6042    9.6043    9.6044    9.6044    9.6045    9.6046    9.6047    9.6047    9.6048    9.6049    9.6050    9.6050    9.6051    9.6052    9.6053    9.6053    9.6054    9.6055    9.6056    9.6056    9.6057    9.6058    9.6059    9.6059    9.6060    9.6061    9.6062    9.6062    9.6063    9.6064    9.6065    9.6065    9.6066    9.6067    9.6068    9.6068    9.6069    9.6070    9.6071    9.6071    9.6072    9.6073    9.6074    9.6074    9.6075    9.6076    9.6077    9.6077    9.6078    9.6079    9.6080    9.6080    9.6081    9.6082    9.6083    9.6083    9.6084    9.6085    9.6086    9.6086    9.6087    9.6088    9.6089    9.6089    9.6090    9.6091    9.6092    9.6092    9.6093    9.6094    9.6094    9.6095    9.6096    9.6097    9.6097    9.6098    9.6099    9.6100    9.6100    9.6101    9.6102    9.6103    9.6103    9.6104    9.6105    9.6105    9.6106    9.6107    9.6108    9.6108    9.6109    9.6110    9.6111    9.6111    9.6112    9.6113    9.6114    9.6114    9.6115    9.6116    9.6116    9.6117    9.6118    9.6119    9.6119    9.6120    9.6121    9.6122    9.6122    9.6123    9.6124    9.6124    9.6125    9.6126    9.6127    9.6127    9.6128    9.6129    9.6129    9.6130    9.6131    9.6132    9.6132    9.6133    9.6134    9.6134    9.6135    9.6136    9.6137    9.6137    9.6138    9.6139    9.6139    9.6140    9.6141    9.6142    9.6142    9.6143    9.6144    9.6145    9.6145    9.6146    9.6147    9.6147    9.6148    9.6149    9.6149    9.6150    9.6151    9.6152    9.6152    9.6153    9.6154    9.6154    9.6155    9.6156    9.6157    9.6157    9.6158    9.6159    9.6159    9.6160    9.6161    9.6162    9.6162    9.6163    9.6164    9.6164    9.6165    9.6166    9.6166    9.6167    9.6168    9.6169    9.6169    9.6170    9.6171    9.6171    9.6172    9.6173    9.6173    9.6174    9.6175    9.6176    9.6176    9.6177    9.6178    9.6178    9.6179    9.6180    9.6180    9.6181    9.6182    9.6183    9.6183    9.6184    9.6185    9.6185    9.6186    9.6187    9.6187    9.6188    9.6189    9.6189    9.6190    9.6191    9.6192    9.6192    9.6193    9.6194    9.6194    9.6195    9.6196    9.6196    9.6197    9.6198    9.6198    9.6199    9.6200    9.6201    9.6201    9.6202    9.6203    9.6203    9.6204    9.6205    9.6205    9.6206    9.6207    9.6207    9.6208    9.6209    9.6209    9.6210    9.6211    9.6211    9.6212    9.6213    9.6214    9.6214    9.6215    9.6216    9.6216    9.6217    9.6218    9.6218    9.6219    9.6220    9.6220    9.6221    9.6222    9.6222    9.6223    9.6224    9.6224    9.6225    9.6226    9.6226    9.6227    9.6228    9.6228    9.6229    9.6230    9.6230    9.6231    9.6232    9.6233    9.6233    9.6234    9.6235    9.6235    9.6236    9.6237    9.6237    9.6238    9.6239    9.6239    9.6240    9.6241    9.6241    9.6242    9.6243    9.6243    9.6244    9.6245    9.6245    9.6246    9.6247    9.6247    9.6248    9.6249    9.6249    9.6250    9.6251    9.6251    9.6252    9.6253    9.6253    9.6254    9.6255    9.6255    9.6256    9.6257    9.6257    9.6258    9.6259    9.6259    9.6260    9.6261    9.6261    9.6262    9.6263    9.6263    9.6264    9.6264    9.6265    9.6266    9.6266    9.6267    9.6268    9.6268    9.6269    9.6270    9.6270    9.6271    9.6272    9.6272    9.6273    9.6274    9.6274    9.6275    9.6276    9.6276    9.6277    9.6278    9.6278    9.6279    9.6280    9.6280    9.6281    9.6282    9.6282    9.6283    9.6283    9.6284    9.6285    9.6285    9.6286    9.6287    9.6287    9.6288    9.6289    9.6289    9.6290    9.6291    9.6291    9.6292    9.6293    9.6293    9.6294    9.6294    9.6295    9.6296    9.6296    9.6297    9.6298    9.6298    9.6299    9.6300    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      ]
     },
     "metadata": {},
     "execution_count":  1,
     "output_type": "execute_result"
    }
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "source": [
    "plot(n,ps,'-.','LineWidth',lwd)\n",
    "ylabel('Theoretical size p=2')\n",
    "yline(10)\n",
    "legend({'Individual test' 'Simultaneous test' '10=Nominal size'},'Location','best')\n",
    "\n",
    "prin=0;\n",
    "if prin==1\n",
    "    % print to postscript\n",
    "    print -depsc theosizep2.eps;\n",
    "else\n",
    "    title(\"Figure A.15\")\n",
    "end"
   ],
   "outputs": [
    {
     "data": {
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8wMHDixZsuTpp58eMmRIu3btfvWrX02cOPGtt96K9Gh1PHbv3r1ly5ai4xkZGZESfsVxzjnnhB1PYAjy7rvvrlWrVvHXV6tWrWXLllEW3HLLLc2aNSt+wWAw2L1797BT69aty8nJKX6psBo3bjxixIjYvq1Spcott9wSdmr79u2R0maJMnXq1LDjrVu3Hj16dMxlb7vttrA/8fXr169YsSLmsiW1du3asONt2rSJrWCbNm0aN25cdDw3Nzfsn82fj9WrV994442R0oSVKlWaNGnSMcccU5xSR/aZAQAAACgbQpAAAAAAJEwwGLztttvGjRsXCoXiLFVYWLhq1aopU6aMGDHijDPO6Nq165gxY15//fXvvvsuIa1u3bo17Hi3bt3iKduwYcOw499//308ZX/QoUOHGDps0aJFpKl69erFcOfi//7v/0aaiv9XOmLEiAoVKsT8effu3SPFWJ977rmYyx5SVlbWG2+8UXQ8FArdd9998fyKKleuPHDgwLBTZfly9LZt28KO165dO7aCwWCwffv2YafWrFkTW80y8P3331933XW7d++OtODee+/9xS9+UZxSR/yZAQAAACgbQpAAAAAAJFi/fv1eeeWV0047LYE1161bN2PGjJtvvrljx44XX3zxww8/vGHDhngKRgpBxnyt3UFpaWnxfH5IkV65jS5KTG3AgAGVKlUqacHGjRtHegF5586dJa32YyeddNKFF14YT4VgMNi7d++wU5mZmaVxq+hB//znP/fv3190/Fe/+lXY+w5L5LLLLgv7tvKsWbPCPlFdGiL91u3Zsyfmmm3btv1FOFEihofX/v37R4wYEeV/PoMHD+7Zs2cxqx3xZwYAAACgbMT+b0kBAAAAIJKTTz556tSpr7322uTJk1evXp3Y4pmZmZmZmY8//njnzp0HDhzYrl27GIrUqlVr2LBhRcdPPfXUeHorvYxdIBCoWbNm586dY/gwSjQzyp2OUYRCocaNG3/xxRdFp3bs2BFDwR9ceOGFSUnx/svtrl27jh8/PmzSa+nSpV26dImzfljTp08PO37ttdfGXzw9Pb19+/bz58//yfj27duXLFkSZ3K3mCL9XJYvXx7zn5qePXsWPzJ42BUWFk6YMGHRokWRFpx77rmjRo0qfsEj/swAAAAAlA0hSAAAAABKRVJS0q9//etevXp99NFHL7744vvvvx/PjXFFFRYWzp07d+7cuV27dr3rrrtK+iZv06ZNmzZtmsB+Dvrmm28SXvMHnTp1qlixYgwfRnpXt1q1as2aNYutmSpVqoQdz8vLi63gQbGlPH+iRo0abdu2/fjjj4tOLVmypDRCkFu2bPn666+Ljjdr1iz+K/0O6tSpU9FAWyAQWLFiRdkE2mrUqBF2/LnnnuvVq1dqamoZ9HB4/eMf/3jxxRcjzTZt2vRPf/pTKBQqZrWj4cwAAAAAlA3PYQMAAABQioLBYMeOHR9++OGFCxdOnjz5iiuuaNWqVaRMXmzeeuutbt26vfXWWwmsGbNXX3219Iq3bNkysQWbNGkS87WLpfHwd4MGDU4++eSElIp0N+GSJUsSUv8nli1bFnb87LPPTtQWnTp1Cjv++eefJ2qL6E466aSw4+vWrRsyZMjmzZvLpo3D5cMPP/zd734XabZ69epPPPFEif5QHA1nBgAAAKBsuAkSAAAAgLJQqVKlTp06HQzl5OXlZWZmLlmyZOnSpUuWLIn/Celdu3aNHDlywoQJffr0SUSzMXr77bfnzZtXevUTHoKMdLdfccR2J2V0rVu3DgaDCSkV6YbLzz77rKCgIP4Xt38iUrayffv2idqicePGlStXLnrR5sqVKxO1RXQdOnSINLVo0aIuXbqcd955l112Wdu2bRP1Q/z5WLdu3Q033BD2gfVAIBAKhR555JFGjRqVqObRcGYAAAAAyoYQJAAAAABlrXLlyq1bt27dunUgECgsLNy0adOS/7Nq1apISaPoCgsL77zzzoKCgr59+ya630PYs2fPp59++uabb7700kulutGJJ56Y2ILxhCBLQ5MmTRJVKlIIct++fTk5OVWrVk3URgctXbo07Pixxx6bqC2SkpJOOOGEovG1NWvW7N27Nzk5OVEbRZKRkZGRkbFq1aqwswcOHJg9e/bs2bPr1av3v//7v2eeeWbHjh3T09NLu6sysGvXriFDhuzatSvSgnHjxrVr166kZY+GMwMAAABQNoQgAQAAADicgsFgw4YNGzZs2L1790AgkJubu2LFiiVLlixcuPCTTz7Zu3dviapNmDDhF7/4RUZGRuk0G8jOzt6wYcOGDRs2btz44/+ILbhZIsFgsEqVKomtWRq3OcYjgSnP+vXrR5ratWtXYkOQhYWFmZmZRceDwWCUNmLQpEmTooG2/Pz81atXR3r+O4GCweCwYcOGDRsWfdm33347Y8aMGTNmhEKhU089tV27dh06dGjdunVKSkppd1ga8vPzR40atW7dukgLrrjiiksvvbSkZY+SMwMAAABQNoQgAQAAAPgZSUlJadu2bdu2ba+55pq9e/cuXbr0ww8/fPvtt9euXVucz/fv33/TTTe9/PLL8V9y9v33369atWr9+vU/jjxGuQ2utKWlpSX8EeefmwTeBJmWlhZpaufOnSV9uTi63bt379u3r+h4KBS64447ErhRpFeMv/7667IJtHXp0qVHjx4zZ84szuL8/Pxly5YtW7bsqaeeCoVCrVq16tChQ7t27U477bRyFIj8/e9/v2DBgkizZ5xxxm233RZD2aPnzAAAAACUASFIAAAAAH6mkpOT27dv3759+1GjRq1atepf//rXq6++un379uhfffnll//617969+4dw45ZWVlz5sx57733Pv/88y1btsTUdWk5Ml4Wjq5u3bqJKlWxYsWKFSvu37+/6FTCk6w7d+4MO37gwIFi5gVLqYGECwaDEyZM2LRp0+LFi0v0YX5+/sH37h9//PGKFSu2a9fu7LPPPuussxo3blxKrSbE9OnTn3/++Uizxx9//EMPPRQKhWKofPScGQAAAIAycIT/23EAAAAAjgDBYPCUU065+eab582bN3bs2Hr16kVfP2XKlMLCwhJtsXjx4t/+9rdnnHHG3XffPW/evJ9bAjLw83u6ujQk9oLASJdBllkIssyU5QWlKSkpzz777MHH62Ozf//+Dz/88N577z3//PMvvvjiadOm5eTkJLDDRFm0aNG4ceMizaanpz/xxBMxv6t+VJ0ZAAAAgNImBAkAAABAuZGcnNy/f/8333yzW7duUZatXLly+fLlxay5cePG66677rLLLvvwww8LCgri7LBGjRpxVjhqhUKhxAY9y+z18KMt0JacnPzAAw889thj9evXj7NUZmbmuHHjOnXq9Kc//emw/zb+2MaNG4cPH56fnx92Nikp6aGHHjrhhBNirn/Yf7FCkAAAAMCRRAgSAAAAgHImNTX1wQcf7N+/f5Q1CxcuLE6pRYsW9e7de968efF31bJly/Hjxz/++OPxlzo6paamBoPBBBbcs2dP2PGYb++L5LDnyQ5Loq5Lly5z5sy5//77W7VqFWep3Nzcp556qnPnztOnTy/pHa6lIScn59prr92xY0ekBbfffnunTp3i2eLoPDMAAAAApaTC4W4AAAAAAEosGAzefvvtS5cuXbFiRdgFS5YsOWSRd9999/rrr4902dsh1axZs2XLlq1atWrVqlXLli0P3gEZqR8OKTk5OYHV8vPz8/Lywk4lPAR52B2uRF2lSpV69uzZs2fPTZs2vffee++9995//vOf7Ozs2KplZ2ePHTv2P//5z7333nsYH3/Pz88fPXr06tWrIy3o06fPgAEDyrKl0nDYU5gAAAAACSQECQAAAEDs9uzZc+DAgaLjlSpVqly5cqluXaFChVGjRl199dVhZ5ctWxb98/Xr148ePbqYCciUlJSmTZsef/zxxx9//HHHHde4cePGjRtXq1atxE0TWaTMYmwiXQMZCATS09MTuFEgcqqyYsWK5557bmL3CisjI6MMdomiQYMG/fr169evX35+/hdffPHJJ58sWrTok08+ieG6wddeey05OXn8+PGJvRa0+B588MF333030mybNm3uvvvu+HtzZgAAAAASSAgSAAAAgNiNGDHigw8+KDret2/f8ePHl/buZ5xxRoMGDTZt2lR0KisrKz8/PxQKhf2wsLBw1KhROTk5UYqHQqGzzjrr7LPP7tChw7HHHpuUlJSYpokgJycnyo8shmqRphJ+E2SkghUqVPjLX/6S2L1+5kKhUPPmzZs3bz5w4MCCgoIvv/xy0aJFBwORWVlZxSwyffr0du3a9ejRo1RbDeu111576qmnIs02bNjwkUceScgtlc4MAAAAQAIJQQIAAAAQu9TU1LDj33zzTRnsHgwGO3bsOGPGjKJThYWFOTk5kS5rnD9/fmZmZqSyFSpUuPLKKwcOHFi3bt2E9Uox7N69O1EJxXXr1oUdD4VCCb8JMtIxy83NPXDgQIUKR+nfwSYlJTVr1qxZs2b9+/cvKCjIzMycN2/evHnzVq1adchvH3744W7dupXxb93SpUvHjBkTaTY1NfWJJ56oWbNmQvZyZgAAAAASyL9fBwAAACB2VapUCTu+cePGsmmgYcOGkaaiPMUb5bK3Y4899pVXXrn55pslIMvetm3bElXqv//9b9jxjIyMRF02+YMowc3s7OzE7lVOJSUltWzZcuTIka+99tq77747evTo2rVrR1m/YcOG9957r8zaCwQCmzdvvv766/fv3x92NhgMPvDAA82aNUvUds4MAAAAQAIJQQIAAAAQu/r164cd/+abb/Ly8sqggUgpzEAgUFBQEHZ8586dn376adipOnXqTJkyJYFRJ0pkxYoViSoVKQTZsmXLRG3xgypVqkS6um/Lli0J3668a9CgweDBg99555277rqrevXqkZYtWLCgzFrKzc0dOnTo9u3bIy248cYbzz333ATu6MwAAAAAJJAQJAAAAACxi3QR4/79+//973+XQQM7duyINJWWlhZ2/JNPPiksLAw7NXbs2EixzmI6cOBAPJ8f5ZYvX56oUitXrgw7XhohyKSkpBYtWoSdivLq+lGucuXKl19++bRp0yLdibh06dKy6aSgoODWW2/9/PPPIy3o0aPH4MGDE7upMwMAAACQQEKQAAAAAMTulFNOiTT11ltvlUEDUR5QjnRJZKRwVd26dc8777w4+9m6dWucFY5mkW7oLKnNmzdHSpKVRggyEAicfvrpYccTeLflEalJkyY33nhj2KnvvvuubHp49NFHo/zPqlWrVhMnTgwGgwnf15kBAAAASJTwL24AAAAAQHE0a9YsNTV1z549RafeeeednJycKM9VJ8SaNWvCjh9zzDEpKSlhp7KyssKOt2/fPikp3n8zvGnTpjgrHM0+//zzL7/88qSTToqzzptvvhl2vGrVqvEXD+v0009/9tlni44fvHY0URG6K6+8suhbyRUqVPjnP/+ZnJyckC3CWr169fDhw4uOd+rU6c4774yzePfu3e+5556il7Pu3LkzzsrF8cYbbzz22GORZuvVqzdp0qTKlSuXxtZH9pkBAAAAKEtCkAAAAADELhQKdejQYd68eUWnsrOzn3jiidGjR5fe7tu2bYt0d2CUrFukF7Tr1KkTf0sffPBB/EWOZjNmzLjtttviLPLGG2+EHe/Ro0coFIqzeFiRbvX78ssvly9f/otf/CL+LTZs2PDRRx8VHW/Xrl1pp9lq1ar11VdfFR1PSMQ5PT29Zs2aRe99LO38dCAQWLFiRZTDVrly5ccffzwh/1sI68g+MwAAAABlyXPYAAAAAMSlW7dukab+9re/rV+/vvS2fuONN4peIHdQhw4dIn0V9t7KQCCwf//+OPvZuHHjggUL4ixylHvllVd27doVT4WPPvpo+fLlYad69+4dT+UoateufeKJJ4admj59ekK2eOGFF8KOn3nmmQmpH0WNGjXC3qv61VdfHThwIM7ihYWFYf9I1q5dO87K0W3duvW6667bu3dvpAX33XdfixYtSq+BI/vMAAAAAJQlIUgAAAAA4tK5c+dq1aqFndq/f/+NN96YnZ1dGvt+++23jzzySKTZTp06RZqqXr162PGid9GVSGFh4R/+8Id4KhAIBHbs2PHnP/855s/z8/PvvffesFMZGRnNmzePufIh9e/fP+z4a6+9tnbt2jiLb968+e9//3vYqTIItAWDwUaNGhUdz8nJ+fjjj+Msvn379tzc3KLjpRqCzMvLGzp06NatWyMtGDp06IUXXlh6DRx0BJ8ZAAAAgLIkBAkAAABAXNLS0q655ppIsytWrBg8ePDu3bsTu+m+ffvuuOOOSPHKFi1aZGRkRPq2Vq1aYcczMzPjaWnatGlz5syJpwIHTZs2bfHixbF9O2XKlNWrV4ed6t27dzAYjKOvQ/j1r39dtWrVouP79+8fO3ZsQUFBzJX37ds3cuTIvLy8olOtW7c++eSTY65cfM2aNQs7HilmV3yR3i4vvcRqYWHhnXfe+dlnn0VacP755w8fPryUdv+xI/vMAAAAAJQZIUgAAAAA4nX55ZfXqVMn0uySJUsGDBiwatWqRG23a9euq6++OsrD0wMGDIgSd4t0w9z69etjvn1t2rRpEydOjO1biho+fPiaNWtK+tW8efP++Mc/hp065phj+vTpE3df0aSkpPTr1y/s1H/+85/HHnss0tPt0e3du/emm25atmxZ2NlBgwbFUDMGXbp0CTv+7rvvxpP9zcrKeuqpp8JOde7cOeay0T355JMzZ86MNJuRkfHHP/4xKaks/ub8yD4zAAAAAGVGCBIAAACAeKWkpFx//fVRFmRmZl588cUPPPDAnj174tkoPz9/5syZv/71rxctWhRpzSmnnNKzZ88oRdq2bRtpatKkSSVtad++fb///e/HjRuXn59f0m+J5LvvvrviiitKlElduHDhDTfcEOmncMcdd6SkpCSou4j69++fnJwcdurRRx/905/+VNJM2/bt26+88spIKcMTTzzx7LPPLmmTsTnrrLMqVaoUduqWW27597//HUPN7OzskSNHbtu2rehU7dq1W7VqFUPNQ3rnnXeivLdeq1atxx9/vAyOyg+O4DMDAAAAUGaEIAEAAABIgD59+rRr1y7Kgvz8/CeffLJjx4633377okWLSvrS6/r16//2t7/16NFj9OjRGzdujLQsFAqNGzcuFApFKXXaaadVq1Yt7NTMmTOnTZtW/K4WLFjQvXv3Z5999pArc3Jyil+WQCCwffv2iy+++LnnnjtkunT//v0PPvjglVdeuXfv3rALOnbseP7555dCjz9Vt27du+66K9Ls008/PWjQoEivdf9Efn7+9OnTL7jggk8//TTSmrvuuqtsLiwMBAJpaWmdOnUKO5Wbm3vNNdc8/PDDubm5xS+4ZMmSfv36RUoz9+/fvzR+aV988cVNN90UabZixYqPPfZYgwYNEr5vFEfwmQEAAAAoMxUOdwMAAAAAHAkqVKjwyCOPXHrppevXr4+yLDc39+WXX3755ZerVavWvHnz5s2bn3LKKfXq1atSpUp6enqVKlWSkpJ2796dm5u7Z8+eTZs2rV279quvvvrss8+KeSngzTff/Mtf/jL6mlAodN55582YMSPs7Lhx47788ssRI0ZECkoGAoG9e/fOmTNn2rRpixcvLjpbuXLlvLy8nwx+8803WVlZNWvWPNSvgP9Pbm7u7373u1deeeXSSy89//zzi75jvn379lmzZr344otR3s6uUKHC2LFjozyPnli9e/deuHDh66+/HnZ2wYIFPXv27N69+/nnn9+hQ4f09PSfLCgsLPz666/nzJkzderUTZs2RdlowIABHTp0SFjfxTB8+PD58+eHjS/v379/0qRJL730Us+ePS+66KKMjIxIQeTs7Oz58+fPnDnzvffei7TRscce+9vf/jZhff+f3Nzca6+9NkpSs1atWs8++2xxMs0lUrNmzXHjxkVZcASfGQAAAICyIQQJAAAAQGJUr179qaee6tOnz86dOw+5eOfOnR999NFHH32UwAZGjx595ZVXFmflsGHDjLrC/wAACjVJREFUZs2aFSkO9fe//33GjBnnnXfe6aeffsIJJ1StWjUpKWnHjh07duz48ssvlyxZsnTp0t27d4f99qabblq3bt0///nPn4wfOHBg2LBhV111VbVq1TZu3Lh+/frhw4dXqOBv5w5t5cqV99xzz4QJE5o1a1avXr26desmJSV9++2333777X//+99D3hN57733NmnSpGxaDQQCwWDwnnvu+eyzz7766quwCwoKCl5//fXXX389FAo1a9asdu3aNWvWrFq1anZ2dlZW1qpVq7Zu3XrIXU488cQoNxqWkubNm/fv3//555+PtGDbtm2TJ0+ePHlycnLySSed1KhRo7S0tLS0tIKCgt27d+/YsWPNmjUbNmw45EZjxoyJ9EJ0PHbu3Bk9I7hly5YtW7YkfN9DXi15BJ8ZAAAAgLLhr1kBAAAASJjGjRtPmjRpyJAhZfz6c1JS0oQJEy655JJirq9fv/6QIUMeeuihSAvy8vJmzpw5c+bMErVx9913X3bZZU8//XTY2cWLF//45sihQ4cKQf5Ejx49Iv2eFxQUrFq1atWqVSUqeOutt/bq1SsRrZVAamrqX//618GDB0e/FTU/P3/lypUx1D/uuOOeffbZlJSUWBuM3YgRI+bOnRs9ShgIBPbu3ZuZmZmZmRnDFjfffPM555wTU3fl2BF8ZgAAAADKQNLhbgAAAACAI0qbNm1efPHFRo0aldmO1apVe/TRR4ufgDxo8ODBXbt2TVQPSUlJf/jDHy677LJAIHDGGWckquzRpl+/fkOHDk1UtUGDBpXGq8rF0bhx4+nTp7dr1y7hlY899tjnn3++Xr16Ca9cHOnp6VOnTi29mzUHDx48aNCgUir+M3eknhkAAACAMiAECQAAAECCnXTSSa+++uqll15a2huFQqH+/fu//fbbnTt3Lum3FSpU+POf/3zBBRfE30b9+vWfffbZH24czMjIaNmyZfxlj04jRozo27dv/HWuvfba0aNHx18nZtWrV3/mmWd69+6dwJpnnXXWtGnT6tevn8CaJVW/fv2pU6e2atUqsWWTk5PHjBlzlL/XfKSeGQAAAIDSJgQJAAAAQOKlp6dPmDBh6tSppXGx2UGdOnV67bXXxo4dW61atdgqHMxBjhkzJuZXYkOh0GWXXTZz5swOHTr8MBgMBseMGRMKhWKreZQLBoP33HPPxIkT09LSYqtQv379p556atSoUcFgMLG9lVTFihXvvffeZ5555tRTT42zVEpKyoQJE/7617/WqVMnIb3Fo0aNGi+88ML48eNr1aqVkILNmzd/+eWXr7jiisP+IzvsjtQzAwAAAFCqhCABAAAAKC2tW7eeMmXKP/7xj169esUcNPyJE0888YYbbpg7d+7kyZObNm0aZ7VQKHTFFVfMmjWrW7duJYotJicn/+pXv5o9e/bdd9+dnp7+k9nTTjvtwQcfTE1NjbO9o1MwGOzTp8+sWbPOPPPMEn1Yo0aNkSNHzp49u6Qflp5gMHjGGWfMmDHj0Ucfje241q5de/jw4XPnzr300kt/PhnBUCjUt2/fOXPm3HDDDSeccELMddq3b/+Xv/xlxowZJ510UgLbK9eO1DMDAAAAUHqChYWFh7sHAAAAAI58u3fv/uijjz788MNFixatXbu2oKCg+N8ed9xxp5xySkZGxjnnnJORkVFKsZ7NmzdPnTp1/vz5//3vfyOtSUtLa9++/ZlnnnnRRRdVrVo1esGtW7e+8MIL77///sqVKw8cOBAIBEKhUKNGjdq2bduhQ4eLLrooKeko/SfKAwYMWLRoUdHxqVOntm7d+scjX3311ezZs2fPnh3lh1K1atWOHTt26dKla9eulSpVSny7CVJYWLhmzZoFCxZ88MEHn3zyyd69e6MsbtKkyWmnndaxY8euXbtWrFixzJqMQWFh4cqVK2fNmrV8+fKVK1dmZ2dHX1+jRo1WrVq1bNmyW7duso/RHalnBgAAACCxhCABAAAAKGt5eXlr1qxZt27d1q1bv/322+zs7L179+7bty8pKanK/98JJ5xw8sknV6lSpSzb27lz5/Lly7dv3/7999/v3r07JSUlLS2tfv36J5xwQqNGjWJ457qgoGD37t379u2rXr26Z7IDJQlB/mDTpk2rV6/esGHD7t279+7dm5qaGucP5fDKy8tbu3btxo0bt2zZkpeXl5eXl5qaWq1atWrVqlWvXv3kk0+O+ZH3w6uwsHDz5s1r1qzZtWtXTk5OdnZ2bm5uampq1apVq1atmp6e3rhx4wYNGrieMAZH6pkBAAAAiJ8QJAAAAABQpmIIQQIAAAAAhHWUPrgDAAAAAAAAAAAAlHdCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEtCkAAAAAAAAAAAAEC5JAQJAAAAAAAAAAAAlEsVDncDAAAAAMDR5ZJLLvmf//mfouP169cv+2YAAAAAgHItWFhYeLh7AAAAAAAAAAAAACgxz2EDAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAuCUECAAAAAAAAAAAA5ZIQJAAAAAAAAAAAAFAu/T9tYxVJ32BX/AAAAABJRU5ErkJggg==\" width=\"562\" alt=\"figure_0.png\"></center>"
      ]
     },
     "metadata": {},
     "execution_count":  2,
     "output_type": "execute_result"
    }
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Figure A.16: plot of the size when p=10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "source": [
    "close all\n",
    "p=10;\n",
    "n=30:5000;\n",
    "lwd=2;\n",
    "pro=1000*(1-betacdf(n*chi2inv(0.99,1)./(n-p).^2,0.5,(n-p-1)/2));\n",
    "plot(n,pro,'--','LineWidth',lwd)\n",
    "ylim([0 10.1])\n",
    "xlabel('Sample size')\n",
    "hold('on')\n",
    "pstar=(betacdf(n.*chi2inv(1-0.01./n,1)./((n-p).^2),0.5,(n-p-1)/2));\n",
    "ps=1000*(1-pstar.^n);\n",
    "disp(1000*ps)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0e+03 *\n",
       "  Columns 1 through 3.276\n",
       "    0.0000    0.0000    0.0000    0.0001    0.0002    0.0007    0.0017    0.0033    0.0059    0.0096    0.0146    0.0210    0.0289    0.0384    0.0496    0.0625    0.0769    0.0931    0.1108    0.1300    0.1507    0.1729    0.1964    0.2212    0.2471    0.2742    0.3024    0.3316    0.3616    0.3926    0.4243    0.4567    0.4898    0.5235    0.5577    0.5924    0.6276    0.6632    0.6991    0.7353    0.7719    0.8086    0.8456    0.8827    0.9200    0.9574    0.9948    1.0324    1.0700    1.1076    1.1451    1.1827    1.2203    1.2577    1.2951    1.3325    1.3697    1.4068    1.4438    1.4807    1.5174    1.5540    1.5905    1.6267    1.6628    1.6988    1.7345    1.7701    1.8054    1.8406    1.8756    1.9103    1.9449    1.9793    2.0134    2.0473    2.0811    2.1146    2.1478    2.1809    2.2137    2.2464    2.2788    2.3110    2.3429    2.3747    2.4062    2.4375    2.4686    2.4994    2.5300    2.5605    2.5907    2.6206    2.6504    2.6800    2.7093    2.7384    2.7673    2.7960    2.8245    2.8528    2.8808    2.9087    2.9363    2.9638    2.9910    3.0181    3.0449    3.0716    3.0980    3.1243    3.1504    3.1762    3.2019    3.2274    3.2527    3.2778    3.3028    3.3275    3.3521    3.3765    3.4007    3.4248    3.4486    3.4723    3.4958    3.5192    3.5424    3.5654    3.5882    3.6109    3.6334    3.6558    3.6780    3.7000    3.7219    3.7437    3.7652    3.7867    3.8079    3.8291    3.8500    3.8709    3.8915    3.9121    3.9325    3.9527    3.9728    3.9928    4.0127    4.0324    4.0519    4.0714    4.0907    4.1098    4.1289    4.1478    4.1666    4.1852    4.2038    4.2222    4.2405    4.2586    4.2767    4.2946    4.3124    4.3301    4.3477    4.3652    4.3825    4.3997    4.4169    4.4339    4.4508    4.4676    4.4843    4.5008    4.5173    4.5337    4.5499    4.5661    4.5822    4.5981    4.6140    4.6297    4.6454    4.6610    4.6764    4.6918    4.7071    4.7223    4.7374    4.7524    4.7673    4.7821    4.7968    4.8115    4.8260    4.8405    4.8549    4.8692    4.8834    4.8975    4.9115    4.9255    4.9393    4.9531    4.9668    4.9805    4.9940    5.0075    5.0209    5.0342    5.0475    5.0606    5.0737    5.0867    5.0997    5.1125    5.1253    5.1381    5.1507    5.1633    5.1758    5.1882    5.2006    5.2129    5.2251    5.2373    5.2494    5.2614    5.2734    5.2853    5.2971    5.3089    5.3206    5.3323    5.3439    5.3554    5.3668    5.3782    5.3896    5.4008    5.4121    5.4232    5.4343    5.4454    5.4563    5.4673    5.4781    5.4889    5.4997    5.5104    5.5210    5.5316    5.5422    5.5526    5.5631    5.5734    5.5838    5.5940    5.6043    5.6144    5.6245    5.6346    5.6446    5.6546    5.6645    5.6744    5.6842    5.6939    5.7037    5.7133    5.7230    5.7325    5.7421    5.7515    5.7610    5.7704    5.7797    5.7890    5.7983    5.8075    5.8167    5.8258    5.8349    5.8439    5.8529    5.8619    5.8708    5.8796    5.8885    5.8973    5.9060    5.9147    5.9234    5.9320    5.9406    5.9491    5.9576    5.9661    5.9745    5.9829    5.9913    5.9996    6.0079    6.0161    6.0243    6.0325    6.0406    6.0487    6.0567    6.0648    6.0727    6.0807    6.0886    6.0965    6.1043    6.1121    6.1199    6.1276    6.1353    6.1430    6.1507    6.1583    6.1658    6.1734    6.1809    6.1884    6.1958    6.2032    6.2106    6.2180    6.2253    6.2326    6.2398    6.2470    6.2542    6.2614    6.2685    6.2756    6.2827    6.2898    6.2968    6.3038    6.3107    6.3177    6.3246    6.3314    6.3383    6.3451    6.3519    6.3586    6.3654    6.3721    6.3788    6.3854    6.3920    6.3986    6.4052    6.4118    6.4183    6.4248    6.4312    6.4377    6.4441    6.4505    6.4569    6.4632    6.4695    6.4758    6.4821    6.4883    6.4945    6.5007    6.5069    6.5131    6.5192    6.5253    6.5314    6.5374    6.5434    6.5494    6.5554    6.5614    6.5673    6.5732    6.5791    6.5850    6.5909    6.5967    6.6025    6.6083    6.6140    6.6198    6.6255    6.6312    6.6369    6.6425    6.6481    6.6538    6.6594    6.6649    6.6705    6.6760    6.6815    6.6870    6.6925    6.6979    6.7034    6.7088    6.7142    6.7195    6.7249    6.7302    6.7355    6.7408    6.7461    6.7514    6.7566    6.7618    6.7670    6.7722    6.7774    6.7825    6.7877    6.7928    6.7979    6.8029    6.8080    6.8130    6.8181    6.8231    6.8281    6.8330    6.8380    6.8429    6.8478    6.8527    6.8576    6.8625    6.8674    6.8722    6.8770    6.8818    6.8866    6.8914    6.8961    6.9009    6.9056    6.9103    6.9150    6.9197    6.9243    6.9290    6.9336    6.9382    6.9428    6.9474    6.9520    6.9565    6.9611    6.9656    6.9701    6.9746    6.9791    6.9835    6.9880    6.9924    6.9968    7.0012    7.0056    7.0100    7.0144    7.0187    7.0231    7.0274    7.0317    7.0360    7.0403    7.0445    7.0488    7.0530    7.0573    7.0615    7.0657    7.0699    7.0740    7.0782    7.0823    7.0865    7.0906    7.0947    7.0988    7.1029    7.1070    7.1110    7.1151    7.1191    7.1231    7.1271    7.1311    7.1351    7.1391    7.1430    7.1470    7.1509    7.1548    7.1588    7.1627    7.1665    7.1704    7.1743    7.1781    7.1820    7.1858    7.1896    7.1934    7.1972    7.2010    7.2048    7.2085    7.2123    7.2160    7.2198    7.2235    7.2272    7.2309    7.2346    7.2382    7.2419    7.2455    7.2492    7.2528    7.2564    7.2601    7.2636    7.2672    7.2708    7.2744    7.2779    7.2815    7.2850    7.2886    7.2921    7.2956    7.2991    7.3026    7.3060    7.3095    7.3130    7.3164    7.3198    7.3233    7.3267    7.3301    7.3335    7.3369    7.3403    7.3436    7.3470    7.3504    7.3537    7.3570    7.3604    7.3637    7.3670    7.3703    7.3736    7.3768    7.3801    7.3834    7.3866    7.3899    7.3931    7.3963    7.3995    7.4027    7.4059    7.4091    7.4123    7.4155    7.4186    7.4218    7.4249    7.4281    7.4312    7.4343    7.4374    7.4405    7.4436    7.4467    7.4498    7.4529    7.4559    7.4590    7.4620    7.4651    7.4681    7.4711    7.4741    7.4772    7.4802    7.4831    7.4861    7.4891    7.4921    7.4950    7.4980    7.5009    7.5039    7.5068    7.5097    7.5126    7.5155    7.5184    7.5213    7.5242    7.5271    7.5300    7.5328    7.5357    7.5385    7.5414    7.5442    7.5470    7.5498    7.5526    7.5555    7.5582    7.5610    7.5638    7.5666    7.5694    7.5721    7.5749    7.5776    7.5804    7.5831    7.5858    7.5886    7.5913    7.5940    7.5967    7.5994    7.6021    7.6047    7.6074    7.6101    7.6127    7.6154    7.6180    7.6207    7.6233    7.6259    7.6286    7.6312    7.6338    7.6364    7.6390    7.6416    7.6442    7.6467    7.6493    7.6519    7.6544    7.6570    7.6595    7.6621    7.6646    7.6671    7.6696    7.6722    7.6747    7.6772    7.6797    7.6822    7.6847    7.6871    7.6896    7.6921    7.6945    7.6970    7.6994    7.7019    7.7043    7.7068    7.7092    7.7116    7.7140    7.7164    7.7188    7.7212    7.7236    7.7260    7.7284    7.7308    7.7332    7.7355    7.7379    7.7402    7.7426    7.7449    7.7473    7.7496    7.7519    7.7543    7.7566    7.7589    7.7612    7.7635    7.7658    7.7681    7.7704    7.7727    7.7749    7.7772    7.7795    7.7817    7.7840    7.7862    7.7885    7.7907    7.7930    7.7952    7.7974    7.7996    7.8018    7.8041    7.8063    7.8085    7.8107    7.8129    7.8150    7.8172    7.8194    7.8216    7.8237    7.8259    7.8281    7.8302    7.8324    7.8345    7.8366    7.8388    7.8409    7.8430    7.8451    7.8473    7.8494    7.8515    7.8536    7.8557    7.8578    7.8598    7.8619    7.8640    7.8661    7.8682    7.8702    7.8723    7.8743    7.8764    7.8784    7.8805    7.8825    7.8846    7.8866    7.8886    7.8906    7.8926    7.8947    7.8967    7.8987    7.9007    7.9027    7.9047    7.9067    7.9086    7.9106    7.9126    7.9146    7.9165    7.9185    7.9204    7.9224    7.9244    7.9263    7.9282    7.9302    7.9321    7.9340    7.9360    7.9379    7.9398    7.9417    7.9436    7.9455    7.9474    7.9493    7.9512    7.9531    7.9550    7.9569    7.9588    7.9607    7.9625    7.9644    7.9663    7.9681    7.9700    7.9718    7.9737    7.9755    7.9774    7.9792    7.9810    7.9829    7.9847    7.9865    7.9883    7.9902    7.9920    7.9938    7.9956    7.9974    7.9992    8.0010    8.0028    8.0045    8.0063    8.0081    8.0099    8.0117    8.0134    8.0152    8.0170    8.0187    8.0205    8.0222    8.0240    8.0257    8.0275    8.0292    8.0309    8.0327    8.0344    8.0361    8.0378    8.0396    8.0413    8.0430    8.0447    8.0464    8.0481    8.0498    8.0515    8.0532    8.0549    8.0566    8.0582    8.0599    8.0616    8.0633    8.0649    8.0666    8.0683    8.0699    8.0716    8.0732    8.0749    8.0765    8.0782    8.0798    8.0814    8.0831    8.0847    8.0863    8.0880    8.0896    8.0912    8.0928    8.0944    8.0960    8.0977    8.0993    8.1009    8.1025    8.1041    8.1056    8.1072    8.1088    8.1104    8.1120    8.1136    8.1151    8.1167    8.1183    8.1198    8.1214    8.1230    8.1245    8.1261    8.1276    8.1292    8.1307    8.1323    8.1338    8.1353    8.1369    8.1384    8.1399    8.1415    8.1430    8.1445    8.1460    8.1475    8.1490    8.1505    8.1521    8.1536    8.1551    8.1566    8.1581    8.1595    8.1610    8.1625    8.1640    8.1655    8.1670    8.1684    8.1699    8.1714    8.1729    8.1743    8.1758    8.1773    8.1787    8.1802    8.1816    8.1831    8.1845    8.1860    8.1874    8.1888    8.1903    8.1917    8.1932    8.1946    8.1960    8.1974    8.1989    8.2003    8.2017    8.2031    8.2045    8.2059    8.2073    8.2088    8.2102    8.2116    8.2130    8.2143    8.2157    8.2171    8.2185    8.2199    8.2213    8.2227    8.2240    8.2254    8.2268    8.2282    8.2295    8.2309    8.2323    8.2336    8.2350    8.2364    8.2377    8.2391    8.2404    8.2418    8.2431    8.2445    8.2458    8.2471    8.2485    8.2498    8.2511    8.2525    8.2538    8.2551    8.2564    8.2578    8.2591    8.2604    8.2617    8.2630    8.2643    8.2656    8.2669    8.2683    8.2696    8.2709    8.2722    8.2734    8.2747    8.2760    8.2773    8.2786    8.2799    8.2812    8.2824    8.2837    8.2850    8.2863    8.2875    8.2888    8.2901    8.2913    8.2926    8.2939    8.2951    8.2964    8.2976    8.2989    8.3001    8.3014    8.3026    8.3039    8.3051    8.3064    8.3076    8.3088    8.3101    8.3113    8.3125    8.3138    8.3150    8.3162    8.3174    8.3187    8.3199    8.3211    8.3223    8.3235    8.3247    8.3259    8.3272    8.3284    8.3296    8.3308    8.3320    8.3332    8.3344    8.3355    8.3367    8.3379    8.3391    8.3403    8.3415    8.3427    8.3438    8.3450    8.3462    8.3474    8.3485    8.3497    8.3509    8.3521    8.3532    8.3544    8.3555    8.3567    8.3579    8.3590    8.3602    8.3613    8.3625    8.3636    8.3648    8.3659    8.3671    8.3682    8.3693    8.3705    8.3716    8.3727    8.3739    8.3750    8.3761    8.3773    8.3784    8.3795    8.3806    8.3818    8.3829    8.3840    8.3851    8.3862    8.3873    8.3885    8.3896    8.3907    8.3918    8.3929    8.3940    8.3951    8.3962    8.3973    8.3984    8.3995    8.4006    8.4016    8.4027    8.4038    8.4049    8.4060    8.4071    8.4081    8.4092    8.4103    8.4114    8.4125    8.4135    8.4146    8.4157    8.4167    8.4178    8.4189    8.4199    8.4210    8.4220    8.4231    8.4242    8.4252    8.4263    8.4273    8.4284    8.4294    8.4305    8.4315    8.4326    8.4336    8.4346    8.4357    8.4367    8.4377    8.4388    8.4398    8.4408    8.4419    8.4429    8.4439    8.4450    8.4460    8.4470    8.4480    8.4490    8.4501    8.4511    8.4521    8.4531    8.4541    8.4551    8.4561    8.4571    8.4581    8.4592    8.4602    8.4612    8.4622    8.4632    8.4642    8.4651    8.4661    8.4671    8.4681    8.4691    8.4701    8.4711    8.4721    8.4731    8.4740    8.4750    8.4760    8.4770    8.4780    8.4789    8.4799    8.4809    8.4819    8.4828    8.4838    8.4848    8.4857    8.4867    8.4877    8.4886    8.4896    8.4905    8.4915    8.4925    8.4934    8.4944    8.4953    8.4963    8.4972    8.4982    8.4991    8.5001    8.5010    8.5019    8.5029    8.5038    8.5048    8.5057    8.5066    8.5076    8.5085    8.5094    8.5104    8.5113    8.5122    8.5132    8.5141    8.5150    8.5159    8.5169    8.5178    8.5187    8.5196    8.5205    8.5215    8.5224    8.5233    8.5242    8.5251    8.5260    8.5269    8.5278    8.5287    8.5296    8.5305    8.5314    8.5323    8.5332    8.5341    8.5350    8.5359    8.5368    8.5377    8.5386    8.5395    8.5404    8.5413    8.5422    8.5431    8.5439    8.5448    8.5457    8.5466    8.5475    8.5484    8.5492    8.5501    8.5510    8.5519    8.5527    8.5536    8.5545    8.5553    8.5562    8.5571    8.5579    8.5588    8.5597    8.5605    8.5614    8.5623    8.5631    8.5640    8.5648    8.5657    8.5665    8.5674    8.5683    8.5691    8.5700    8.5708    8.5716    8.5725    8.5733    8.5742    8.5750    8.5759    8.5767    8.5776    8.5784    8.5792    8.5801    8.5809    8.5817    8.5826    8.5834    8.5842    8.5851    8.5859    8.5867    8.5875    8.5884    8.5892    8.5900    8.5908    8.5917    8.5925    8.5933    8.5941    8.5949    8.5958    8.5966    8.5974    8.5982    8.5990    8.5998    8.6006    8.6014    8.6022    8.6031    8.6039    8.6047    8.6055    8.6063    8.6071    8.6079    8.6087    8.6095    8.6103    8.6111    8.6119    8.6127    8.6134    8.6142    8.6150    8.6158    8.6166    8.6174    8.6182    8.6190    8.6198    8.6205    8.6213    8.6221    8.6229    8.6237    8.6244    8.6252    8.6260    8.6268    8.6276    8.6283    8.6291    8.6299    8.6306    8.6314    8.6322    8.6330    8.6337    8.6345    8.6353    8.6360    8.6368    8.6375    8.6383    8.6391    8.6398    8.6406    8.6413    8.6421    8.6429    8.6436    8.6444    8.6451    8.6459    8.6466    8.6474    8.6481    8.6489    8.6496    8.6504    8.6511    8.6519    8.6526    8.6533    8.6541    8.6548    8.6556    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9.2568    9.2570    9.2572    9.2574    9.2576    9.2578    9.2580    9.2582    9.2584    9.2586    9.2587    9.2589    9.2591    9.2593    9.2595    9.2597    9.2599    9.2601    9.2603    9.2605    9.2607    9.2608    9.2610    9.2612    9.2614    9.2616    9.2618    9.2620    9.2622    9.2624    9.2626    9.2627    9.2629    9.2631    9.2633    9.2635    9.2637    9.2639    9.2641    9.2643    9.2644    9.2646    9.2648    9.2650    9.2652    9.2654    9.2656    9.2658    9.2659    9.2661    9.2663    9.2665    9.2667    9.2669    9.2671    9.2673    9.2674    9.2676    9.2678    9.2680    9.2682    9.2684    9.2686    9.2687    9.2689    9.2691    9.2693    9.2695    9.2697    9.2699    9.2700    9.2702    9.2704    9.2706    9.2708    9.2710    9.2712    9.2713    9.2715    9.2717    9.2719    9.2721    9.2723    9.2724    9.2726    9.2728    9.2730    9.2732    9.2734    9.2735    9.2737    9.2739    9.2741    9.2743    9.2745    9.2746    9.2748    9.2750    9.2752    9.2754    9.2756    9.2757    9.2759    9.2761    9.2763    9.2765    9.2766    9.2768    9.2770    9.2772    9.2774    9.2775    9.2777    9.2779    9.2781    9.2783    9.2784    9.2786    9.2788    9.2790    9.2792    9.2793    9.2795    9.2797    9.2799    9.2801    9.2802    9.2804    9.2806    9.2808    9.2810    9.2811    9.2813    9.2815    9.2817    9.2819    9.2820    9.2822    9.2824    9.2826    9.2827    9.2829    9.2831    9.2833    9.2835    9.2836    9.2838    9.2840    9.2842    9.2843    9.2845    9.2847    9.2849    9.2850    9.2852    9.2854    9.2856    9.2857    9.2859    9.2861    9.2863    9.2865    9.2866    9.2868    9.2870    9.2872    9.2873    9.2875    9.2877    9.2879    9.2880    9.2882    9.2884    9.2886    9.2887    9.2889    9.2891    9.2892    9.2894    9.2896    9.2898    9.2899    9.2901    9.2903    9.2905    9.2906    9.2908    9.2910    9.2912    9.2913    9.2915    9.2917    9.2918    9.2920    9.2922    9.2924    9.2925    9.2927    9.2929    9.2931    9.2932    9.2934    9.2936    9.2937    9.2939    9.2941    9.2943    9.2944    9.2946    9.2948    9.2949    9.2951    9.2953    9.2955    9.2956    9.2958    9.2960    9.2961    9.2963    9.2965    9.2966    9.2968    9.2970    9.2972    9.2973    9.2975    9.2977    9.2978    9.2980    9.2982    9.2983    9.2985    9.2987    9.2988    9.2990    9.2992    9.2993    9.2995    9.2997    9.2999    9.3000    9.3002    9.3004    9.3005    9.3007    9.3009    9.3010    9.3012    9.3014    9.3015    9.3017    9.3019    9.3020    9.3022    9.3024    9.3025    9.3027    9.3029    9.3030    9.3032    9.3034    9.3035    9.3037    9.3039    9.3040    9.3042    9.3044    9.3045    9.3047    9.3049    9.3050    9.3052    9.3054    9.3055    9.3057    9.3058    9.3060\n",
       "  Columns 3.277 through 4.971\n",
       "    9.3062    9.3063    9.3065    9.3067    9.3068    9.3070    9.3072    9.3073    9.3075    9.3077    9.3078    9.3080    9.3081    9.3083    9.3085    9.3086    9.3088    9.3090    9.3091    9.3093    9.3094    9.3096    9.3098    9.3099    9.3101    9.3103    9.3104    9.3106    9.3107    9.3109    9.3111    9.3112    9.3114    9.3116    9.3117    9.3119    9.3120    9.3122    9.3124    9.3125    9.3127    9.3128    9.3130    9.3132    9.3133    9.3135    9.3137    9.3138    9.3140    9.3141    9.3143    9.3145    9.3146    9.3148    9.3149    9.3151    9.3153    9.3154    9.3156    9.3157    9.3159    9.3161    9.3162    9.3164    9.3165    9.3167    9.3168    9.3170    9.3172    9.3173    9.3175    9.3176    9.3178    9.3180    9.3181    9.3183    9.3184    9.3186    9.3187    9.3189    9.3191    9.3192    9.3194    9.3195    9.3197    9.3198    9.3200    9.3202    9.3203    9.3205    9.3206    9.3208    9.3209    9.3211    9.3213    9.3214    9.3216    9.3217    9.3219    9.3220    9.3222    9.3224    9.3225    9.3227    9.3228    9.3230    9.3231    9.3233    9.3234    9.3236    9.3238    9.3239    9.3241    9.3242    9.3244    9.3245    9.3247    9.3248    9.3250    9.3251    9.3253    9.3255    9.3256    9.3258    9.3259    9.3261    9.3262    9.3264    9.3265    9.3267    9.3268    9.3270    9.3271    9.3273    9.3275    9.3276    9.3278    9.3279    9.3281    9.3282    9.3284    9.3285    9.3287    9.3288    9.3290    9.3291    9.3293    9.3294    9.3296    9.3297    9.3299    9.3300    9.3302    9.3303    9.3305    9.3306    9.3308    9.3310    9.3311    9.3313    9.3314    9.3316    9.3317    9.3319    9.3320    9.3322    9.3323    9.3325    9.3326    9.3328    9.3329    9.3331    9.3332    9.3334    9.3335    9.3337    9.3338    9.3340    9.3341    9.3343    9.3344    9.3346    9.3347    9.3349    9.3350    9.3352    9.3353    9.3355    9.3356    9.3358    9.3359    9.3361    9.3362    9.3363    9.3365    9.3366    9.3368    9.3369    9.3371    9.3372    9.3374    9.3375    9.3377    9.3378    9.3380    9.3381    9.3383    9.3384    9.3386    9.3387    9.3389    9.3390    9.3392    9.3393    9.3395    9.3396    9.3397    9.3399    9.3400    9.3402    9.3403    9.3405    9.3406    9.3408    9.3409    9.3411    9.3412    9.3414    9.3415    9.3416    9.3418    9.3419    9.3421    9.3422    9.3424    9.3425    9.3427    9.3428    9.3430    9.3431    9.3432    9.3434    9.3435    9.3437    9.3438    9.3440    9.3441    9.3443    9.3444    9.3445    9.3447    9.3448    9.3450    9.3451    9.3453    9.3454    9.3456    9.3457    9.3458    9.3460    9.3461    9.3463    9.3464    9.3466    9.3467    9.3468    9.3470    9.3471    9.3473    9.3474    9.3476    9.3477    9.3478    9.3480    9.3481    9.3483    9.3484    9.3486    9.3487    9.3488    9.3490    9.3491    9.3493    9.3494    9.3496    9.3497    9.3498    9.3500    9.3501    9.3503    9.3504    9.3505    9.3507    9.3508    9.3510    9.3511    9.3512    9.3514    9.3515    9.3517    9.3518    9.3520    9.3521    9.3522    9.3524    9.3525    9.3527    9.3528    9.3529    9.3531    9.3532    9.3534    9.3535    9.3536    9.3538    9.3539    9.3541    9.3542    9.3543    9.3545    9.3546    9.3547    9.3549    9.3550    9.3552    9.3553    9.3554    9.3556    9.3557    9.3559    9.3560    9.3561    9.3563    9.3564    9.3565    9.3567    9.3568    9.3570    9.3571    9.3572    9.3574    9.3575    9.3577    9.3578    9.3579    9.3581    9.3582    9.3583    9.3585    9.3586    9.3588    9.3589    9.3590    9.3592    9.3593    9.3594    9.3596    9.3597    9.3598    9.3600    9.3601    9.3603    9.3604    9.3605    9.3607    9.3608    9.3609    9.3611    9.3612    9.3613    9.3615    9.3616    9.3618    9.3619    9.3620    9.3622    9.3623    9.3624    9.3626    9.3627    9.3628    9.3630    9.3631    9.3632    9.3634    9.3635    9.3636    9.3638    9.3639    9.3640    9.3642    9.3643    9.3645    9.3646    9.3647    9.3649    9.3650    9.3651    9.3653    9.3654    9.3655    9.3657    9.3658    9.3659    9.3661    9.3662    9.3663    9.3665    9.3666    9.3667    9.3669    9.3670    9.3671    9.3673    9.3674    9.3675    9.3677    9.3678    9.3679    9.3681    9.3682    9.3683    9.3685    9.3686    9.3687    9.3688    9.3690    9.3691    9.3692    9.3694    9.3695    9.3696    9.3698    9.3699    9.3700    9.3702    9.3703    9.3704    9.3706    9.3707    9.3708    9.3710    9.3711    9.3712    9.3713    9.3715    9.3716    9.3717    9.3719    9.3720    9.3721    9.3723    9.3724    9.3725    9.3727    9.3728    9.3729    9.3730    9.3732    9.3733    9.3734    9.3736    9.3737    9.3738    9.3740    9.3741    9.3742    9.3743    9.3745    9.3746    9.3747    9.3749    9.3750    9.3751    9.3752    9.3754    9.3755    9.3756    9.3758    9.3759    9.3760    9.3761    9.3763    9.3764    9.3765    9.3767    9.3768    9.3769    9.3770    9.3772    9.3773    9.3774    9.3776    9.3777    9.3778    9.3779    9.3781    9.3782    9.3783    9.3785    9.3786    9.3787    9.3788    9.3790    9.3791    9.3792    9.3793    9.3795    9.3796    9.3797    9.3799    9.3800    9.3801    9.3802    9.3804    9.3805    9.3806    9.3807    9.3809    9.3810    9.3811    9.3812    9.3814    9.3815    9.3816    9.3817    9.3819    9.3820    9.3821    9.3823    9.3824    9.3825    9.3826    9.3828    9.3829    9.3830    9.3831    9.3833    9.3834    9.3835    9.3836    9.3838    9.3839    9.3840    9.3841    9.3843    9.3844    9.3845    9.3846    9.3848    9.3849    9.3850    9.3851    9.3853    9.3854    9.3855    9.3856    9.3857    9.3859    9.3860    9.3861    9.3862    9.3864    9.3865    9.3866    9.3867    9.3869    9.3870    9.3871    9.3872    9.3874    9.3875    9.3876    9.3877    9.3878    9.3880    9.3881    9.3882    9.3883    9.3885    9.3886    9.3887    9.3888    9.3890    9.3891    9.3892    9.3893    9.3894    9.3896    9.3897    9.3898    9.3899    9.3901    9.3902    9.3903    9.3904    9.3905    9.3907    9.3908    9.3909    9.3910    9.3911    9.3913    9.3914    9.3915    9.3916    9.3918    9.3919    9.3920    9.3921    9.3922    9.3924    9.3925    9.3926    9.3927    9.3928    9.3930    9.3931    9.3932    9.3933    9.3934    9.3936    9.3937    9.3938    9.3939    9.3940    9.3942    9.3943    9.3944    9.3945    9.3946    9.3948    9.3949    9.3950    9.3951    9.3952    9.3954    9.3955    9.3956    9.3957    9.3958    9.3960    9.3961    9.3962    9.3963    9.3964    9.3966    9.3967    9.3968    9.3969    9.3970    9.3972    9.3973    9.3974    9.3975    9.3976    9.3977    9.3979    9.3980    9.3981    9.3982    9.3983    9.3985    9.3986    9.3987    9.3988    9.3989    9.3990    9.3992    9.3993    9.3994    9.3995    9.3996    9.3998    9.3999    9.4000    9.4001    9.4002    9.4003    9.4005    9.4006    9.4007    9.4008    9.4009    9.4010    9.4012    9.4013    9.4014    9.4015    9.4016    9.4017    9.4019    9.4020    9.4021    9.4022    9.4023    9.4024    9.4026    9.4027    9.4028    9.4029    9.4030    9.4031    9.4033    9.4034    9.4035    9.4036    9.4037    9.4038    9.4040    9.4041    9.4042    9.4043    9.4044    9.4045    9.4046    9.4048    9.4049    9.4050    9.4051    9.4052    9.4053    9.4054    9.4056    9.4057    9.4058    9.4059    9.4060    9.4061    9.4063    9.4064    9.4065    9.4066    9.4067    9.4068    9.4069    9.4071    9.4072    9.4073    9.4074    9.4075    9.4076    9.4077    9.4079    9.4080    9.4081    9.4082    9.4083    9.4084    9.4085    9.4086    9.4088    9.4089    9.4090    9.4091    9.4092    9.4093    9.4094    9.4096    9.4097    9.4098    9.4099    9.4100    9.4101    9.4102    9.4103    9.4105    9.4106    9.4107    9.4108    9.4109    9.4110    9.4111    9.4112    9.4114    9.4115    9.4116    9.4117    9.4118    9.4119    9.4120    9.4121    9.4123    9.4124    9.4125    9.4126    9.4127    9.4128    9.4129    9.4130    9.4131    9.4133    9.4134    9.4135    9.4136    9.4137    9.4138    9.4139    9.4140    9.4141    9.4143    9.4144    9.4145    9.4146    9.4147    9.4148    9.4149    9.4150    9.4151    9.4153    9.4154    9.4155    9.4156    9.4157    9.4158    9.4159    9.4160    9.4161    9.4163    9.4164    9.4165    9.4166    9.4167    9.4168    9.4169    9.4170    9.4171    9.4172    9.4173    9.4175    9.4176    9.4177    9.4178    9.4179    9.4180    9.4181    9.4182    9.4183    9.4184    9.4186    9.4187    9.4188    9.4189    9.4190    9.4191    9.4192    9.4193    9.4194    9.4195    9.4196    9.4197    9.4199    9.4200    9.4201    9.4202    9.4203    9.4204    9.4205    9.4206    9.4207    9.4208    9.4209    9.4210    9.4212    9.4213    9.4214    9.4215    9.4216    9.4217    9.4218    9.4219    9.4220    9.4221    9.4222    9.4223    9.4224    9.4226    9.4227    9.4228    9.4229    9.4230    9.4231    9.4232    9.4233    9.4234    9.4235    9.4236    9.4237    9.4238    9.4239    9.4241    9.4242    9.4243    9.4244    9.4245    9.4246    9.4247    9.4248    9.4249    9.4250    9.4251    9.4252    9.4253    9.4254    9.4255    9.4256    9.4258    9.4259    9.4260    9.4261    9.4262    9.4263    9.4264    9.4265    9.4266    9.4267    9.4268    9.4269    9.4270    9.4271    9.4272    9.4273    9.4274    9.4276    9.4277    9.4278    9.4279    9.4280    9.4281    9.4282    9.4283    9.4284    9.4285    9.4286    9.4287    9.4288    9.4289    9.4290    9.4291    9.4292    9.4293    9.4294    9.4295    9.4296    9.4297    9.4299    9.4300    9.4301    9.4302    9.4303    9.4304    9.4305    9.4306    9.4307    9.4308    9.4309    9.4310    9.4311    9.4312    9.4313    9.4314    9.4315    9.4316    9.4317    9.4318    9.4319    9.4320    9.4321    9.4322    9.4323    9.4324    9.4325    9.4327    9.4328    9.4329    9.4330    9.4331    9.4332    9.4333    9.4334    9.4335    9.4336    9.4337    9.4338    9.4339    9.4340    9.4341    9.4342    9.4343    9.4344    9.4345    9.4346    9.4347    9.4348    9.4349    9.4350    9.4351    9.4352    9.4353    9.4354    9.4355    9.4356    9.4357    9.4358    9.4359    9.4360    9.4361    9.4362    9.4363    9.4364    9.4365    9.4366    9.4367    9.4368    9.4369    9.4370    9.4371    9.4372    9.4373    9.4374    9.4375    9.4376    9.4377    9.4378    9.4379    9.4380    9.4381    9.4382    9.4383    9.4385    9.4386    9.4387    9.4388    9.4389    9.4390    9.4391    9.4392    9.4393    9.4394    9.4395    9.4396    9.4397    9.4398    9.4399    9.4400    9.4401    9.4402    9.4403    9.4404    9.4405    9.4406    9.4407    9.4408    9.4409    9.4410    9.4411    9.4411    9.4412    9.4413    9.4414    9.4415    9.4416    9.4417    9.4418    9.4419    9.4420    9.4421    9.4422    9.4423    9.4424    9.4425    9.4426    9.4427    9.4428    9.4429    9.4430    9.4431    9.4432    9.4433    9.4434    9.4435    9.4436    9.4437    9.4438    9.4439    9.4440    9.4441    9.4442    9.4443    9.4444    9.4445    9.4446    9.4447    9.4448    9.4449    9.4450    9.4451    9.4452    9.4453    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      ]
     },
     "metadata": {},
     "execution_count":  3,
     "output_type": "execute_result"
    }
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "source": [
    "plot(n,ps,'-.','LineWidth',lwd)\n",
    "ylabel('Theoretical size p=10')\n",
    "yline(10)\n",
    "legend({'Individual test' 'Simultaneous test' '10=Nominal size'},'Location','best')\n",
    "prin=0;\n",
    "if prin==1\n",
    "    % print to postscript\n",
    "    print -depsc theosizep10.eps;\n",
    "else\n",
    "    title(\"Figure A.16\")\n",
    "end"
   ],
   "outputs": [
    {
     "data": {
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vvkm8a+t+vbtm80M4QxSSaDpsQQJEOGLL75ILA4cOLBdu3Zpdk72FxsLFy5MszMA9Secc0ESgJRFbpPk5OR07949/eaRz5jMycnp0KFDZD2cKSoJQJrGjx//fwl+8YtfpNOzpKRk8eLFifV+/frVcFc4g1QSgHp19913v//++9WKF1100aBBgzL7ReFMUUkAMiLxXdg5Gfrz4NoLZ5BKAk2PJUiA6jZt2rR06dLE+i677JJ+82RNFixYkH5zAOpDOOeCJOk3B5qzyCdBFhYWtm7dOv3mkasq3/dPLIYzRSVJvznAoEGD9kpQVFSUTs9//etfkc8SrmG7JZxBKkn6zQFqMGfOnPvuu69acb/99jv99NMz+0XhTFFJ0m8O8L3Ed2G3b9++a9euWQsQziCVJP3mEKCk784AaLYWL15cVVWVWO/Zs2f6zXv06BFZj/wLDwBCEM65IEn6zYHmbNddd/373/9erVhQUJB+56qqqrlz50Ze2nHHHROL4UxRSdJvDpBx8Xh80qRJkZdGjBiR7K5wBqkk6TcHSObbb78dP358PB7/cbFTp04333xzixYZfvBNOFNUkvSbA3wv8UmQO+ywQ25ubrViaWnpZ5999u23365Zs6a8vHyrrbbq0qVLly5dtt9++zT/JS2cQSpJ+s0hQJYgAapLduon+ymhToqKivLy8mKxWC2/FIAGF865IEn6zYHmrEOHDgMGDKiPzrNnz078S/qcnJxtttmmU6dOifVwpqgk6TcHyLgXX3zxvffeS6z36NFjr732SnZXOINUkvSbA0Sqqqq65JJLVq9eXa3++9//Ps0nEEcKZ4pKkn5zgO9FLkH+8L+XLVv21FNPzZkzZ968eYnjKCcnp23btvvss89//dd/jRgxonv37ikECGeQSpJ+cwiQ12EDVLdw4cLIekb+3iIvL2/rrbdOrEf+0hSAEIRzLkiSfnOA+vCXv/wlsr7PPvtE1sOZopKk3xwgs956661LL7008tL555+fn5/0oQbhDFJJ0m8OEGnSpElvvvlmteIJJ5wwfPjw+vi6cKaoJOk3B/he4kj5fgnyo48+Ovfccw8++OA//elPH3/8ceQGZE5OTmlp6YwZM6699trhw4dfffXVxcXFdQ0QziCVJP3mECBLkADVJfuJLSN/b5GT5EeWkpKSau+wACAQ4ZwLkjgrgQDNmjVr1qxZkZeOOuqoyHo4U1QSJwsQjpKSkptvvvmss86qrKxMvDp06NBf/OIXNdweziCVxOEC1Ie5c+dOnDixWnHHHXecMGFCPX1jOFNUEicLkBHxeDzxSZDdunW75pprfvWrX82YMaP202bz5s1PPPHEwQcffN1115WVldU+QziDVBKHC02SJUiA6kpLSyPrnTt3zkj/yD7xeLxOPyMCkDXhnAuSOCuB0Hz88ccXXHBB5KXevXsnexJkOFNUEicL0LDi8XhxcfGMGTMuu+yy/ffff9KkSVVVVYkf23nnnW+77bYWLWr6x/xwBqkkDhcg49avX3/RRRdVey5XQUHBxIkT27RpU09fGs4UlcTJAmTEd999V1JSUq147bXXTp48ObV9uFgs9uijj44cOXLBggW1vCWcQSqJw4UmKenrMwCarcgfNXJzcwsKCjLSv1WrVpH1kpKStm3bZuQrAMigcM4FSZyVQFAWLlx49tlnJ/sXwzFjxuTl5UVeCmeKSuJkAbLpd7/73QsvvNChQ4cOHTrEYrGNGzeuXbs22W+8fjBs2LA//OEPhYWFNX8snEEqicMFyKx4PH7FFVcsX768Wv2SSy7p379//X1vOFNUEicLkBGRb0AuLy9Ps+2CBQuOO+6466677uc///kWPxzOIJXE4UKTZAkSoLrEP4LJyclp1apVbm5uRvon+1Fji//qDUCDCOdckMRZCQQiHo9PmTLl+uuvT7YBOWTIkCOPPDLZ7eFMUUmcLEA2xWKxdevWrVu3rpaf79Wr1wUXXHD00UfXZhiGM0glcbgAmfXEE09MmzatWvG//uu/Tj755Hr93nCmqCROFiAjEt+FnSnl5eWXXHJJfn7+EUccUfMnwxmkkjhcaJIsQQJUl+xHjUz1b926dWR948aNmfoKADIonHNBEmclEIK1a9deeeWV06dPT/aBzp0739+oC4wAACAASURBVHHHHTW8tDScKSqJkwUIVu/evW+//fZdd921lp8PZ5BK4nABMmj+/Pk33nhjtWKXLl1uuummTO1GJBPOFJXEyQJkRG2WIFu1anXooYfutttuPXr06NGjR25u7po1a1avXj137tzZs2fX8NrreDx+8cUXFxYWDh06tIb+4QxSSRwuNEmWIAGqi/y7h2Q/H6SghodOZ+orAMigcM4FSZyVQMOKx+MvvPDCTTfdtHr16mSfadOmzd1337311lvX0CecKSqJkwUI1tKlS4877rghQ4aMHj265t8jfi+cQSqJwwXIlLKysrFjx1ZUVFSr//73v+/atWt9f3s4U1QSJwuQETUvQXbr1u38888/8sgjCwsLE69+/4jH+fPn//GPf/zHP/4R2WHz5s2jR49+9tlnt99++2TfEs4glcThQpOU9LEEAM1W5CvtCgoKMtW/ZcuWkfXNmzdn6isAyKBwzgVJnJVAA5o/f/7JJ588fvz4mjcgH3zwwT322KPmVuFMUUmcLEDgPvzwwzPPPPO8885bsWJFzZ8MZ5BK4nABMuV3v/vdokWLqhVPOeWUAw44IAvfHs4UlcTJAmREDUuQhx9++AsvvHDCCSdEbkD+oH///vfcc8+kSZM6dOgQ+YGysrKbbrqphg7hDFJJHC40SZYgAaqL/Kki8a8tU5asVdu2bTP1FQBkUDjngiTOSqBBrF+//oYbbjj22GPffffdGj627bbbPvHEE3vuuecWG4YzRSVxsgCNwmuvvfbLX/7yww8/rOEz4QxSSRwuQEY8//zzzzzzTLXiTjvtNH78+OwECGeKSuJkAdIXj8cjlyBzc3Ovv/76O+64o1OnTrVstf/++z/55JPbbLNN5NWZM2e++eabye4NZ5BK4nChSfI6bIDq2rVrl1gsLy/PVP9krSK/F4AGF865IImzEsiyqqqqZ5999rbbbvvuu+9q/uShhx56ww031Pzn8j8IZ4pK4mQBsunYY4/de++9W7Zs2apVq/z8/LKyspKSknXr1n3xxRf//ve/P/vssxoexbF69eqTTz75//7v/4YMGRL5gXAGqSQOFyB9S5Ysufrqq6sVW7VqNXHixGQvtcy4cKaoJE4WIH3r1q3bsGFDYv26664bOXJkXbv17dv37rvvHjVqVGVlZeLVm266aerUqbm5uYmXwhmkkjhcaJIsQQJUF/l3Dxn8e4tNmzbV/nsBaHDhnAuSOCuBbPrPf/5z7bXXfvzxxzV/bOutt77yyisPPvjg2ncOZ4pK4mQBsmnw4MGDBw9OdnXt2rXPP//85MmTE998+r3KysrRo0c/99xzXbt2TbwaziCVxOECpKmiomLs2LGlpaXV6hMmTOjXr1/WYoQzRSVxsgDpq6ioOPHEEzdu3FhSUvL9/y0pKTnppJNS2ID83i677DJhwoTrr78+8dKCBQu++OKLyDMrnEEqicOFJskSJEB1yf7eIh6PR/7NSl0l+3sLP2oAhCmcc0ESZyWQHWvWrJk4ceLf/va3eDxew8cKCgpOP/30c845p65/OR3OFJXEyQKEo1OnTqeccsqJJ574wAMP3HPPPZFPhVy9evWdd9553XXXJV4KZ5BK4nAB0nTrrbd+8skn1YoHHXTQiSeemM0Y4UxRSZwsQPqKiooSnzGcphNOOGHSpEnFxcWJl15//fXIJchwBqkkDheapBYNHQAgOMl+hZmpP7nw9xYAjUs454IkzkqgvsVisccff/zQQw996qmnat6AHD58+Isvvjhu3LgU3h0TzhSVxMkChCY/P/+888578MEHCwoKIj/w9NNPL126NLEeziCVxOECpOO111575JFHqhW7du164403ZmQTovbCmaKSOFmAMOXn55911lmRl2bMmBFZD2eQSuJwoUmyBAlQXbIjf82aNRnpH9mnRYsWLVu2zEh/ADIrnHNBEmclUK/mzZt33HHHXXvttevXr6/hY3379v3zn/9833339enTJ7UvCmeKSuJkAcK033773XzzzZGXqqqqpk6dmlgPZ5BK4nABUlZcXHzppZcm1m+55Zatttoqy2HCmaKSOFmAYB122GGR9blz58ZiscR6OINUEocLTZIlSIDqOnToEFlfvnx5RvpH9tlmm22y/HecANRSOOeCJM5KoJ6Ul5ffdtttI0eOTHzr3I916NDh8ssvf/7554cOHZrO14UzRSVxsgDBOvLII5MdN9OmTUsshjNIJXG4ACmbMGFC4l9knXHGGfvvv3/2w4QzRSVxsgDB6tq160477ZRYj8fj3333XWI9nEEqicOFJim/oQMABCfZA12Ki4t33333NJtv3rx5xYoVifW+ffum2RmAehLOuSBJmp0BIi1fvvzcc8+dP39+DZ/Jzc09/vjjx44dm5Hnr4QzRSVJszNAvRozZsybb76ZWF+wYEF5eXnr1q1/XAxnkEqSZmegOfv0008TiytXrox8PGTNNmzYEFm/9dZb27dvn1gfOHDgKaec8uNKOFNUkjQ7A9SrXXbZ5fPPP0+sr169ulu3btWK4QxSSdLsDGGyBAlQXb9+/SLrGfl7ixUrVlRVVSXW/agBEKxwzgVJ0m8OUM0777zzv//7vzW/X2b33Xe/4oorBg4cmKkvDWeKSpJ+c4D6s+uuu3bv3n3lypXV6rFYbOHChYMGDfpxMZxBKkn6zQF+7MUXX8xgt1dffTWyvn79+mpLkOFMUUnSbw5Qfzp37hxZ//bbbxOL4QxSSdJvDgHyOmyA6ur1R41ly5ZF1v2oARCscM4FSdJvDvBjM2fOPP3002vYgGzfvv3111//2GOPZXADMiekKSpJ+s0B6k9ubu4+++wTeSnx8ApnkEqSfnOAEIQzRSVJvzlA/enUqVNkvbS0NLEYziCVJP3mECBLkADVdevWrbCwMLH+n//8J/3mH3/8cWTdjxoAwQrnXJAk/eYAP5gzZ84FF1ywefPmZB8YPnz4Sy+9NHLkyNzc3Mx+dThTVJL0mwPN2erVqwdHeeqppzL1FUVFRZH1jRs3VquEM0glSb85QAjCmaKSpN8coP5UVFRE1iOXI8MZpJKk3xwCZAkSoLrc3Nwdd9wxsf7ZZ58l/hNzXb333nuRdT9qAAQrnHNBkjQ7A/xg/vz55557brJ/pe3cufPtt99+7733du/evT6+PZwpKkmanYFmrkuXLvF4vCzB6tWrM/UVW221VWS9oKCgWiWcQSpJmp0BAhHOFJUkzc4A9eq7776LrEf+t0w4g1SSNDtDmCxBAkTo379/YrGqqmru3LnptI3FYu+//35ifcCAAR07dkynMwD1KpxzQRKA9JWWlo4ZM6asrCzy6oABA5555pkjjjgi4w+A/LFwpqgkACnLzc3t3bt3Yj3ZbwFTUFJSElmP/IViOINUEoCmIZwpKglAsJL9DViyP+gKZ5BKAk2PJUiACAceeGBk/d13302n7fz58yP/YmP48OHptAWgvoVzLkgCkL5rrrlm8eLFkZcOOeSQyZMn9+jRo74zhDNFJQFIR+QSZLJTJgXffvttZL1r166JxXAGqSQAqdlzzz33zZDBgwdHfsWQIUMiPx+5fhHOFJUEIGXvvPPOmVG+/PLL9JvH4/GPPvoosV5QUJBszS6cQSoJND35DR0AIET7779/hw4dNmzYUK0+derUMWPGtGiR4gb5888/H1kfMWJEag0ByI5wzgVJANL0/vvvP/fcc5GXzjrrrHHjxqU8weoknCkqCUA6evXqlVj88MMPY7FYXl5e+v2T7VN26dIlsRjOIJUEIDX33XdfplotWrTo8MMPT6zffPPNffr0qWWTcKaoJAAp69Sp05tvvplYf+edd7bbbrs0my9ZsmTFihWJ9d133z3ZfxCFM0glgabHkyABIhQUFEQe/8uXL3/rrbdS61leXv7MM88k1ouKigYOHJhaTwCyI5xzQRKAdMTj8VtvvTXy0hFHHDF+/PjsbEDmhDRFJQFIx09+8pPEYklJyWeffZZ+8/Xr10c++aNfv35t27ZNrIczSCUBaBrCmaKSAKSsb9++rVq1Sqyn+ZTB77300kuR9f322y/ZLeEMUkmg6bEECRAt8q8kc3JyJk+enFrDadOmrVu3LrE+fPjw3Nzc1HoCkDXhnAuSAKTsjTfe+PDDDxPr/fr1u+GGG7I8asKZopIApGzo0KGR8+Rvf/tb+s1feeWVWCyWWD/ggAOS3RLOIJUEoGkIZ4pKApCavLy8nXbaKbH+6quvJj56sE42bNjw8MMPR17ad999a7gxnEEqCTQxliABou2///6FhYWJ9ddff33u3Ll17VZWVnbvvfdGXjr++OPrHA6ArAvnXJAEIGVTpkxJLLZs2fLuu++OfKRWvQpnikoCkLLOnTv/9Kc/Taz//e9/X79+fTqdN2zYcOedd0ZeOuigg5LdFc4glQSgaQhnikoCkLK99947sVhWVpbm327df//9kf/V071790GDBtVwYziDVBJoYixBAkQrKCg46aSTEutVVVWXXnppeXl5nbpNnDjxyy+/TKwPHz685p8CAQhEOOeCJACp2bBhw+uvv55YP+aYY7bbbrusxwloikoCkI7I5zKWlZXddNNNKfesqqq64YYbVq9enXipe/fuQ4YMSXZjOINUEoCmIZwpKglAyo455pjI+l133fX111+n1vPll19+6KGHIi+dc845eXl5NdwbziCVBJoYS5AASZ122mmRz4NZvHjxLbfcEo/Ha9nnn//85yOPPBJ5afTo0annAyC7wjkXJAFIwfTp0ysqKhLrp556avbDfC+cKSoJQMqOPPLIyN/wTZky5cUXX0yhYVVV1VVXXfXss89GXh07dmzNv1AMZ5BKAtA0hDNFJQFITb9+/SJX30pLSy+88MKSkpK6NnzrrbcuvfTSyEvdu3c/7rjjttghnEEqCTQleddcc01DZwAIVOvWrfPz82fPnp146d///veKFSsOOOCAFi22sE0+ZcqUcePGRf5cMmLEiNNPPz0zWQH4f+6///7NmzdXK3bp0uXEE09Ms3M454IkACn485///Pnnn1crDhs27LTTTmuIODk5IU1RSQBS1qlTpxUrVsybNy/x0quvvtqxY8fI92Uns2TJkgsvvHDatGmRV3feeeerr7665jEYziCVBKABrVmz5rHHHkusn3zyyZ06dapTq3CmqCQAKYvH4zNnzkysr1ix4p133hk6dGj79u1r2eevf/3rhAkTKisrIz9w8cUXDx48eIt9whmkkkBTklv7fWGAZigWi40cOTLyH7JzcnL23XffSy65ZODAgZFXV65c+cADDzz66KORV/Pz85955pn+/ftnLCsAOTk5OTmDBw8uKyurVuzXr98LL7yQfvNwzgVJAOrq4IMPXrp0abVi586d6/orwDoZO3bsf//3f9fwgXCmqCQAKVuxYsWhhx66adOmyKtDhw49//zzd9ttt5qbfPXVV0888cSjjz6arE+LFi3+8pe/7L333lvME84glQSgoSxatOjwww9PrE+fPr1Pnz517RbOFJUEIDWxWOwXv/jFZ599Fnm1ffv2F1xwwS9/+csOHTrU0OTtt9+eOHHi3Llzk33gwAMPvO+++7a4qPdDpEAGqSTQZFiCBNiCpUuXjho1avXq1ck+sNdeex111FG9e/fu2bNnfn5+cXHx8uXLZ82a9dJLL8VisWR3XXzxxWeddVb9RAZo1up1CTInpHNBEoDa++677/bdd9/sf+/1118/cuTImj8TzhSVBCBld95557333lvDB/r377/XXnvtvvvuPXr06NixY4cOHTZt2rRu3boVK1Z89NFH77333rvvvlvzV1x99dW1f7x9OINUEoAGkdklyJyQpqgkAKn58MMPR40aVcMHWrdufeCBBw4ePHjQoEFbbbVVx44dq6qqvv3225UrV7777rtvvPHGggULarh92223nTJlSmFhYe0jhTNIJYGmwRIkwJZ9+umnJ510UklJSaYaHnTQQffcc09eXl6mGgLwg/pegswJ6VyQBKCW3njjjf/5n//J/vfWZgkyJ6QpKglAamKxWA2vsU7f2WefPW7cuDrdEs4glQQg+zK+BJkT0hSVBCA1t99++/33318fndu0afPkk0+m8KDBcAapJNAE1Oo5tADN3IABA+67776CgoKMdNttt91uv/12P2cANF7hnAuSANTSV1991dARahLOFJUEIDV5eXm33XbbPvvsUx/NzzjjjIsuuqiud4UzSCUBaBrCmaKSAKRm7Nixp5xySsbbbrPNNpMnT07tVcvhDFJJoAmwBAlQK3vvvff999/ftWvXNPsMHz78oYceatOmTUZSAdBQwjkXJAGoja+//rqhI2xBOFNUEoDUtGzZ8t577z3uuOMy2LOwsPC+++6bMGFCbm5uCreHM0glAWgawpmikgCkIDc397LLLjvzzDMz2HPw4MFPP/30gAH/X3v3Hqdznf+Pf2YupxnGWXIoOSaiLccPNokOila1EpHaDkohkdqOcth2t22rJZXW9imLTSqtJCpUWtHKIRMloiSnHGaGwZi5vn+4ffr1a65rzFzXNcPF/f7X7uv1ej9fzzFvl1tze8zrdVbEFY6fD1KdQLwTggQoqA4dOsyePfuyyy6L7PGSJUsOGTJk/PjxZcuWjW1jABwTx8+/CzoBOKqtW7ce6xaO7vj5FNUJQGTKli07duzYSZMm1axZM/pqHTt2fPPNNy+88MJoihw/H6Q6ATgxHD+fojoBiEBiYuKIESOmTJlyxhlnRFkqNTX1jjvuePnll6PP6h0/H6Q6gbiWGAwGj3UPAHHm7bfffuKJJzZv3lzA9UlJSRdddNHQoUPr1q1bpI0BkJCQ8Ktf/SorK+sXgw0bNnzrrbeKaMfC/ruQmJjYpUuXu+++u169ejop6k4Ajrjuuuv++9//Fv++Y8aM6dmzZ2GfOn4+RXUCEJmsrKy33npr2rRpaWlphX02EAh069btpptuiuw6uXCOnw9SnQAUgw0bNnTt2jXv+Lx58+rUqROTLY6fT1GdAETg4MGDr7zyyiuvvPL1118X9tny5cv379//+uuvL1++fGy7On4+SHUC8UgIEiASOTk5CxYsmDNnzocffpienh5uWZMmTTp16nTllVeedtppxdkeAMWsUP8u9OjR4/TTT9dJsXUCEI+On09RnQBELBgMfv755/PmzVu5cuXnn3+e95e1fq527dotW7Zs2bLlr3/961NPPbUo+jl+Pkh1AnBiOH4+RXUCEJlgMPjZZ5+9/fbbK1euXLNmzeHDh/NZfNZZZ7Vt27Zt27atW7dOSUkpopaOnw9SnUDcEYIEiEpOTs533323bt267du379+/Pzs7u1y5cuXKlatbt279+vVj/usvABznjp9/F3QCcGI4fj5FdQIQjZycnK+++mrHjh179+5NT09PT08vU6ZMhQoVKlasWKlSpZo1a1avXr04mzlOPkh1AnBiOH4+RXUCELFDhw59+eWXO3bsOPIfLJmZmampqUf+g6VSpUq1atWqWLFicfZz/HyQ6gTihRAkAAAAAAAAAAAAEJeSjnUDAAAAAAAAAAAAAJEQggQAAAAAAAAAAADikhAkAAAAAAAAAAAAEJeEIAEAAAAAAAAAAIC4JAQJAAAAAAAAAAAAxCUhSAAAAAAAAAAAACAuCUECAAAAAAAAAAAAcUkIEgAAAAAAAAAAAIhLQpAAAAAAAAAAAABAXBKCBAAAAAAAAAAAAOKSECQAAAAAAAAAAAAQl4QgAQAAAAAAAAAAgLgkBAkAAAAAAAAAAADEJSFIAAAAAAAAAAAAIC4JQQIAAAAAAAAAAABxSQgSAAAAAAAAAAAAiEtCkAAAAAAAAAAAAEBcEoIEAAAAAAAAAAAA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width=\"562\" alt=\"figure_1.png\"></center>"
      ]
     },
     "metadata": {},
     "execution_count":  4,
     "output_type": "execute_result"
    }
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "source": [
    "\n",
    "%InsideREADME"
   ],
   "outputs": []
}
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "MATLAB (matlabkernel)",
   "language": "matlab",
   "name": "matlab"
  },
  "language_info": {
   "file_extension": ".m",
   "mimetype": "text/matlab",
   "name": "matlab",
   "nbconvert_exporter": "matlab",
   "pygments_lexer": "matlab",
   "version": "24.1.0.2628055"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}