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fix(01-bayesian_stats): typo fixes
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storopoli committed Dec 28, 2023
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27 changes: 13 additions & 14 deletions slides/01-bayesian_statistics.typ
Original file line number Diff line number Diff line change
Expand Up @@ -215,7 +215,7 @@

- $P("rain") = "degree of belief that will rain"$

- $P("me being elected president") = 10^{-10}$ (highly unlikely)
- $P("me being elected president") = 10^(-10)$ (highly unlikely)
]

#slide(
Expand Down Expand Up @@ -399,10 +399,10 @@
content((-7, -18))[#text(size: 18pt, fill: white)[☿]]
circle((-5, -18))
content((-5, -18))[#text(size: 18pt)[♀]]
circle((-3, -18), fill: julia-purple)
content((-3, -18))[#text(size: 18pt, fill: white)[♁]]
circle((-1, -18))
content((-1, -18))[#text(size: 18pt)[♂]]
circle((-3, -18))
content((-3, -18))[#text(size: 18pt)[♁]]
circle((-1, -18), fill: julia-purple)
content((-1, -18))[#text(size: 18pt, fill: white)[♂]]
circle((1, -18))
content((1, -18))[#text(size: 18pt)[♃]]
circle((3, -18))
Expand Down Expand Up @@ -515,7 +515,7 @@
that we already observed $B$".

$
P(A | B) & = "number of elements in $A$ and $B$" / "number of elements in $B$" \
P(A | B) & = "number of elements in A and B" / "number of elements in B" \
P(A | B) &= P(A sect B) / P(B)
$

Expand Down Expand Up @@ -547,8 +547,9 @@
More specific, if the basal rates $P(A)$ and $P(B)$ aren't equal, the symmetry
is broken $P(A | B) ≠ P(B | A)$
]

#text(
size: 16pt,
size: 14pt,
)[
The Pope is catholic:

Expand All @@ -568,16 +569,14 @@
- #text(size: 22pt)[*Hence*: $P("catholic" | "pope") ≠ P("pope" | "catholic")$]
]

#slide(
title: [Joint Probability],
)[
Probability of two or more events occurring. \newline \newline
#slide(title: [Joint Probability])[
Probability of two or more events occurring.

The notation we use is $P(A, B)$, that read as
"the probability of observing $A$ and also observing $B$". \newline \newline
"the probability of observing $A$ and also observing $B$".

$
P(A, B) &= "number of elements in $A$ or $B$" \
P(A, B) &= "number of elements in A or B" \
P(A, B) &= P(A union B) \
P(A, B) &= P(B, A)
$
Expand Down Expand Up @@ -1082,7 +1081,7 @@ title: [Bayesian vs Frequentist Stats],
- I believe that frequentist statistics, specially the way we qualify evidence and hypotheses with
$p$-values will transform in a "significant" #footnote[pun intended ...] way.

- 6 years ago, the _American Statistical Association_ (ASA) published a declaration about
- 8 years ago, the _American Statistical Association_ (ASA) published a declaration about
$p$-values @Wasserstein2016.
It states exactly what we exposed here:
The main concepts of the null hypothesis significant testing and,
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