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1 file changed +19
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lines changed Original file line number Diff line number Diff line change 124
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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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