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table for one-tailed test
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11_Inference.ipynb

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{
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"cell_type": "markdown",
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"metadata": {
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"heading_collapsed": true,
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"jp-MarkdownHeadingCollapsed": true
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"heading_collapsed": true
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},
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"source": [
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"## $t$検定"
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"cell_type": "markdown",
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"metadata": {
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"heading_collapsed": true,
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"hidden": true,
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"jp-MarkdownHeadingCollapsed": true
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"hidden": true
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},
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"source": [
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"### 回帰分析と$t$検定"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"jp-MarkdownHeadingCollapsed": true
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},
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"metadata": {},
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"source": [
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"#### 回帰分析"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"jp-MarkdownHeadingCollapsed": true
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},
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"metadata": {},
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"source": [
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"### 片側検定の$p$値"
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]
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"#### 覚え方"
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"#### まとめ"
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]
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},
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{
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"source": [
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"次のように覚えておくと良いだろう。\n",
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"\n",
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"**<対立仮説の符号と推定値の符号が一致する場合>**\n",
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"**<対立仮説と推定値(もしくは$t$値)の符号が一致する場合>**\n",
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"\n",
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"* 片側検定の$p$値は両側検定の$p$値の`1/2`\n",
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"\n",
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"**<対立仮説の符号と推定値の符号が異なる場合>**\n",
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"**<対立仮説と推定値(もしくは$t$値)が異なる場合>**\n",
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"\n",
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"* 片側検定の$p$値は(`1`-両側検定の$p$値の`1/2`)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"表にまとめると次のようになる。\n",
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"\n",
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"| | 対立仮説:$\\beta>0$ | 対立仮説:$\\beta<0$ |\n",
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"|--------------|:---------------------------------------:|:---------------------------------------:|\n",
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"| $\\hat{\\beta}>0$($t$値 $>0$) | $\\dfrac{\\text{両側検定の}p\\text{値}}{2}$ | $1-\\dfrac{\\text{両側検定の}p\\text{値}}{2}$ |\n",
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"| $\\hat{\\beta}<0$($t$値 $<0$) | $1-\\dfrac{\\text{両側検定の}p\\text{値}}{2}$ | $\\dfrac{\\text{両側検定の}p\\text{値}}{2}$ |"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {

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