{"id":1034,"date":"2023-07-27T21:42:44","date_gmt":"2023-07-27T21:42:44","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%a0%b1%e9%81%93%e7%b5%b1%e8%a8%88\/"},"modified":"2023-07-27T21:42:44","modified_gmt":"2023-07-27T21:42:44","slug":"%e5%a0%b1%e9%81%93%e7%b5%b1%e8%a8%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%a0%b1%e9%81%93%e7%b5%b1%e8%a8%88\/","title":{"rendered":"Press\u7d71\u8a08\u3068\u306f\u4f55\u3067\u3059\u304b?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u3067\u306f\u3001\u6b21\u306e 2 \u3064\u306e\u7406\u7531\u304b\u3089<a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u56de\u5e30\u30e2\u30c7\u30eb\u3092<\/a>\u5f53\u3066\u306f\u3081\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> 1 \u3064\u4ee5\u4e0a\u306e<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u8aac\u660e\u5909\u6570<\/a>\u3068<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u95a2\u4fc2<em>\u3092\u8aac\u660e\u3057\u307e\u3059<\/em>\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> 1 \u3064\u4ee5\u4e0a\u306e\u8aac\u660e\u5909\u6570\u306e\u5024\u306b\u57fa\u3065\u3044\u3066\u5fdc\u7b54\u5909\u6570\u306e\u5024<em>\u3092\u4e88\u6e2c\u3057\u307e\u3059<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u79c1\u305f\u3061\u306e\u76ee\u6a19\u304c<strong>(2)<\/strong>\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092<em>\u4e88\u6e2c\u3059\u308b<\/em>\u3053\u3068\u3067\u3042\u308b\u5834\u5408\u3001\u305d\u306e\u305f\u3081\u306b\u53ef\u80fd\u306a\u9650\u308a\u6700\u826f\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u305f\u3044\u3068\u8003\u3048\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u65b0\u3057\u3044\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u6700\u826f\u306e\u4e88\u6e2c\u3092\u884c\u3046\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u6307\u6a19\u306e 1 \u3064\u306f\u3001\u300c<strong>\u4e88\u6e2c<\/strong><strong>\u6b8b\u5dee<\/strong><strong>\u4e8c\u4e57\u548c<\/strong><strong>\u300d<\/strong>\u3092\u8868\u3059<strong>PRESS \u7d71\u8a08<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30d7\u30ec\u30b9 = \u03a3(e <sub>i<\/sub> \/ (1-h <sub>ii<\/sub> )) <sup>2<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> i \u756a\u76ee<sup>\u306e<\/sup>\u6b8b\u57fa\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub> :<\/strong>\u30e2\u30c7\u30eb\u306e\u9069\u5408\u306b\u5bfe\u3059\u308b<sup>i \u756a\u76ee\u306e<\/sup>\u89b3\u6e2c\u5024\u306e\u5f71\u97ff (\u300c\u3066\u3053\u6bd4\u300d\u3068\u3082\u547c\u3070\u308c\u308b) \u306e\u5c3a\u5ea6\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8907\u6570\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u4e0e\u3048\u3089\u308c\u305f\u5834\u5408\u3001PRESS \u304c\u6700\u3082\u4f4e\u3044\u30e2\u30c7\u30eb\u304c\u3001\u65b0\u3057\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u6700\u9ad8\u306e\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u767a\u63ee\u3059\u308b\u30e2\u30c7\u30eb\u3068\u3057\u3066\u9078\u629e\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001R \u306e 3 \u3064\u306e\u7570\u306a\u308b\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e PRESS \u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: PRESS \u7d71\u8a08\u306e\u8a08\u7b97<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">3 \u3064\u306e\u8aac\u660e\u5909\u6570<sub>x1<\/sub> \u3001 <sub>x2<\/sub> \u3001 <sub>x3<\/sub>\u3068\u5fdc\u7b54\u5909\u6570 y \u3092\u542b\u3080\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data &lt;- <span style=\"color: #3366ff;\">data.frame<\/span> (x1 = c(2, 3, 3, 4, 4, 6, 8, 9, 9, 9),\n                   x2 = c(2, 2, 3, 3, 2, 3, 5, 6, 6, 7),\n                   x3 = c(12, 14, 14, 13, 8, 8, 9, 14, 11, 7),\n                    y = c(23, 24, 15, 9, 14, 17, 22, 26, 34, 35))\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001 <strong>lm()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066 3 \u3064\u306e\u7570\u306a\u308b\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\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;\"> <strong>model1 &lt;- lm(y~x1, data=data)\n\nmodel2 &lt;- lm(y~x1+x2, data=data)\n\nmodel3 &lt;- lm(y~x2+x3, data=data)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u5404\u30e2\u30c7\u30eb\u306e PRESS \u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create custom function to calculate the PRESS statistic<\/span>\nPRESS &lt;- <span style=\"color: #008000;\">function<\/span> (model) {\n    i &lt;- <span style=\"color: #3366ff;\">residuals<\/span> (model)\/(1 - lm. <span style=\"color: #3366ff;\">influence<\/span> (model)$ <span style=\"color: #3366ff;\">hat<\/span> )\n    sum(i^2)\n}\n\n<span style=\"color: #008080;\">#calculate PRESS for model 1<\/span>\nPRESS(model1)\n\n[1] 590.2197\n\n<span style=\"color: #008080;\">#calculate PRESS for model 2<\/span>\nPRESS(model2)\n\n[1] 519.6435\n\n<span style=\"color: #008080;\">#calculate PRESS for model 3<\/span>\nPRESS(model3)\n\n[1] 537.7503\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">PRESS \u7d71\u8a08\u304c\u6700\u3082\u4f4e\u3044\u30e2\u30c7\u30eb\u306f\u3001PRESS \u7d71\u8a08\u304c<strong>519.6435<\/strong>\u306e\u30e2\u30c7\u30eb 2 \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u65b0\u3057\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u4e88\u6e2c\u3092\u884c\u3046\u306e\u306b\u6700\u9069\u306a\u30e2\u30c7\u30eb\u3068\u3057\u3066\u3053\u306e\u30e2\u30c7\u30eb\u3092\u9078\u629e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5358\u7dda\u5f62\u56de\u5e30\u306e\u6982\u8981<\/a><br \/> <a href=\"https:\/\/statorials.org\/ja\/\u5039\u7d04\u30e2\u30c6\u3099\u30eb\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5039\u7d04\u30e2\u30c7\u30eb\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><br \/> <a href=\"https:\/\/statorials.org\/ja\/\u826f\u597d\u306ar\u4e8c\u4e57\u5024\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u9069\u5207\u306a R \u4e8c\u4e57\u5024\u306f\u3069\u308c\u304f\u3089\u3044\u3067\u3059\u304b?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u3067\u306f\u3001\u6b21\u306e 2 \u3064\u306e\u7406\u7531\u304b\u3089\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u307e\u3059\u3002 (1) 1 \u3064\u4ee5\u4e0a\u306e\u8aac\u660e\u5909\u6570\u3068\u5fdc\u7b54\u5909\u6570\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 (2) 1 \u3064\u4ee5\u4e0a\u306e\u8aac\u660e\u5909\u6570\u306e\u5024\u306b\u57fa\u3065\u3044\u3066\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u4e88\u6e2c\u3057\u307e\u3059\u3002 \u79c1\u305f\u3061\u306e\u76ee\u6a19\u304c(2)\u5fdc\u7b54\u5909\u6570\u306e [&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-1034","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>PRESS\u7d71\u8a08\u3068\u306f\u4f55\u3067\u3059\u304b? - \u8a18\u4e8b<\/title>\n<meta name=\"description\" content=\"PRESS \u7d71\u8a08\u306b\u3064\u3044\u3066\u3001\u6b63\u5f0f\u306a\u5b9a\u7fa9\u3068\u4f8b\u3092\u542b\u3081\u3066\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/ja\/\u5831\u9053\u7d71\u8a08\/\" \/>\n<meta property=\"og:locale\" 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