{ "cells": [ { "cell_type": "markdown", "id": "f6132b39", "metadata": {}, "source": [ "# 比率のP値函数達\n", "\n", "* 黒木玄\n", "* 2022-09-08~2022-11-24\n", "* Copyright 2022 Gen Kuroki\n", "* License: https://opensource.org/licenses/MIT\n", "* [nbviewer版](https://nbviewer.org/github/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.ipynb)\n", "* [repository版](https://github.com/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.ipynb)\n", "* [ダウンロードPDF](https://github.com/genkuroki/public/raw/main/0036/P-value%20functions%20of%20proportions.pdf)\n", "* [PDF版(repository)](https://github.com/genkuroki/public/blob/main/0036/P-value%20functions%20of%20proportions.pdf)\n", "$\n", "\\newcommand\\ds{\\displaystyle}\n", "\\newcommand\\op[1]{{\\operatorname{#1}}}\n", "\\newcommand\\R{{\\mathbb R}}\n", "\\newcommand\\pdf{\\op{pdf}}\n", "\\newcommand\\cdf{\\op{cdf}}\n", "\\newcommand\\ccdf{\\op{ccdf}}\n", "\\newcommand\\quantile{\\op{quantile}}\n", "\\newcommand\\cquantile{\\op{cquantile}}\n", "\\newcommand\\pvalue{\\op{pvalue}}\n", "\\newcommand\\confint{\\op{confint}}\n", "\\newcommand\\credint{\\op{credint}}\n", "\\newcommand\\phat{{\\hat p}}\n", "$\n", "\n", "このノートでは事象 $A$ の確率を $P(A)$ と表し, 確率変数 $X$ の函数 $f(X)$ の期待値を $E[f(X)]$ と表す.\n", "\n", "__予備知識:__ 二項分布, 正規分布, ベータ分布などの確率分布, P値と信頼区間.\n", "\n", "__終わりの方で必要になる追加の予備知識:__ 二項分布モデルのベイズ統計.\n", "\n", "__想定読者:__\n", "\n", "* すでに統計学入門を学習済みだが, P値や信頼区間について明瞭なイメージをまだ持てていない人達.\n", "* 比率に関するP値と信頼区間の複数の定義について正確な知識を得たい人達.\n", "* P値と信頼区間のあいだの表裏一体性について理解したい人達.\n", "* P値と信頼区間に関する __データの数値と統計モデルのcompatibility__ という解釈について知りたい人達.\n", "* P値と使う統計学とベイズ統計が水と油では __ない__ ことを具体的計算で納得したい人達." ] }, { "cell_type": "markdown", "id": "26fbb11d", "metadata": { "toc": true }, "source": [ "