{"id":1761,"date":"2023-07-25T02:18:14","date_gmt":"2023-07-25T02:18:14","guid":{"rendered":"https:\/\/statorials.org\/ja\/prt-%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b-r-%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/"},"modified":"2023-07-25T02:18:14","modified_gmt":"2023-07-25T02:18:14","slug":"prt-%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b-r-%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/prt-%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b-r-%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/","title":{"rendered":"R \u306e\u56de\u5e30\u30e2\u30c7\u30eb\u51fa\u529b\u306e pr(&gt;|t|) \u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R \u3067\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u304c\u6b21\u306e\u5f62\u5f0f\u3067\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\">Coefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 10.0035 5.9091 1.693 0.1513  \nx1 1.4758 0.5029 2.935 0.0325 *\nx2 -0.7834 0.8014 -0.978 0.3732<\/span> \n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|)<\/strong>\u5217\u306f\u3001 <strong>t \u5024<\/strong>\u5217\u306e\u5024\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f p \u5024\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">p \u5024\u304c\u7279\u5b9a\u306e\u6709\u610f\u30ec\u30d9\u30eb (\u4f8b: \u03b1 = 0.05) \u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u4e88\u6e2c\u5909\u6570\u306f\u30e2\u30c7\u30eb\u5185\u306e\u5fdc\u7b54\u5909\u6570\u3068\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u304c\u3042\u308b\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u7279\u5b9a\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306e Pr(&gt;|t|) \u5217\u306e\u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: Pr(&gt;|t|) \u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e88\u6e2c\u5b50\u5909\u6570<strong>x1<\/strong>\u304a\u3088\u3073<strong>x2<\/strong>\u3068\u5358\u4e00\u306e\u5fdc\u7b54\u5909\u6570<strong>y<\/strong>\u3092\u4f7f\u7528\u3057\u3066<a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb<\/a>\u3092\u8fd1\u4f3c\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u3092\u4f5c\u6210\u3057\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u30c7\u30fc\u30bf\u306b\u9069\u5408\u3055\u305b\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x1=c(1, 3, 3, 4, 4, 5, 6, 6),\n                 x2=c(7, 7, 5, 6, 5, 4, 5, 6),\n                 y=c(8, 8, 9, 9, 13, 14, 17, 14))\n\n<span style=\"color: #008080;\">#fit multiple linear regression model\n<\/span>model &lt;- lm(y ~ x1 + x2, data=df)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = y ~ x1 + x2, data = df)\n\nResiduals:\n      1 2 3 4 5 6 7 8 \n 2.0046 -0.9470 -1.5138 -2.2062 1.0104 -0.2488 2.0588 -0.1578 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 10.0035 5.9091 1.693 0.1513  \nx1 1.4758 0.5029 2.935 0.0325 *\nx2 -0.7834 0.8014 -0.978 0.3732  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 1.867 on 5 degrees of freedom\nMultiple R-squared: 0.7876, Adjusted R-squared: 0.7026 \nF-statistic: 9.268 on 2 and 5 DF, p-value: 0.0208<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Pr(&gt;|t|) \u5217\u306e\u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u4e88\u6e2c\u5b50\u5909\u6570 x1 \u306e p \u5024\u306f<strong>0.0325<\/strong>\u3067\u3059\u3002\u3053\u306e\u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u5185\u306e\u5fdc\u7b54\u5909\u6570\u3068\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e88\u6e2c\u5b50\u5909\u6570 x2 \u306e p \u5024\u306f<strong>0.3732<\/strong>\u3067\u3059\u3002\u3053\u306e\u5024\u306f 0.05 \u4ee5\u4e0a\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30c7\u30eb\u5185\u306e\u5fdc\u7b54\u5909\u6570\u3068\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u4fc2\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4fc2\u6570\u30c6\u30fc\u30d6\u30eb\u306e\u4e0b\u306e<a href=\"https:\/\/statorials.org\/ja\/r\u306e\u30b3\u30fc\u30c8\u3099\u306e\u610f\u5473\/\" target=\"_blank\" rel=\"noopener\">\u6709\u610f\u6027\u30b3\u30fc\u30c9\u306f\u3001<\/a> p \u5024 0.0325 \u306e\u96a3\u306b\u3042\u308b 1 \u3064\u306e\u30a2\u30b9\u30bf\u30ea\u30b9\u30af (*) \u304c\u3001p \u5024\u304c \u03b1 = 0.05 \u3067\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|) \u306f\u5b9f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pr(&gt;|t|) \u306e\u5024\u304c\u5b9f\u969b\u306b\u8a08\u7b97\u3055\u308c\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: t \u5024\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066<strong>t \u5024<\/strong>\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>t \u5024<\/strong>= \u63a8\u5b9a\u5024 \/ \u6a19\u6e96\u5024\u30a8\u30e9\u30fc<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u4e88\u6e2c\u5b50\u5909\u6570 x1 \u306e t \u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate t-value<\/span>\n1.4758 \/ .5029\n\n[1] 2.934579\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: p \u5024\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001p \u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001t \u5206\u5e03\u306e\u7d76\u5bfe\u5024\u304c 2.935 \u3088\u308a\u5927\u304d\u3044\u78ba\u7387\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u3067\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p \u5024<\/strong>= 2 * pt (abs (t \u5024)\u3001\u6b8b\u5dee df\u3001 lower.tail = FALSE)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u6b8b\u308a\u306e\u81ea\u7531\u5ea6\u304c 5 \u3067\u3042\u308b t \u5024 2.935 \u306e p \u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#calculate p-value<\/span>\n2 * pt( <span style=\"color: #3366ff;\">abs<\/span> (2.935), 5, lower. <span style=\"color: #3366ff;\">tail<\/span> = <span style=\"color: #008000;\">FALSE<\/span> )\n\n[1] 0.0324441\n<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e p \u5024\u306f\u3001\u4e0a\u8a18\u306e\u56de\u5e30\u51fa\u529b\u306e p \u5024\u3068\u4e00\u81f4\u3059\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8:<\/strong>\u6b8b\u7559\u81ea\u7531\u5ea6\u306e\u5024\u306f\u56de\u5e30\u51fa\u529b\u306e\u4e0b\u90e8\u306b\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u30015 \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>Residual standard error: 1.867 on <span style=\"color: #ff0000;\">5<\/span> degrees of freedom\n<\/strong><\/span><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u91cd\u56de\u5e30\u3092\u30d5\u309a\u30ed\u30c3\u30c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u7d50\u679c\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R \u3067\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u3068\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u304c\u6b21\u306e\u5f62\u5f0f\u3067\u8868\u793a\u3055\u308c\u307e\u3059\u3002 Coefficients: Estimate Std. Error t value Pr(&gt;|t|) (Intercept) 10.0035  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1761","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R \u306e\u56de\u5e30\u30e2\u30c7\u30eb\u51fa\u529b\u306e Pr(&gt;|t|) \u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u306b\u304a\u3051\u308b Pr(&gt;|t|) \u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u793a\u3057\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, 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