{"id":1272,"date":"2023-07-27T01:33:14","date_gmt":"2023-07-27T01:33:14","guid":{"rendered":"https:\/\/statorials.org\/ja\/r%e3%81%ae%e3%83%ac%e3%83%8f%e3%82%99%e3%83%ac%e3%83%83%e3%82%b7%e3%82%99\/"},"modified":"2023-07-27T01:33:14","modified_gmt":"2023-07-27T01:33:14","slug":"r%e3%81%ae%e3%83%ac%e3%83%8f%e3%82%99%e3%83%ac%e3%83%83%e3%82%b7%e3%82%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r%e3%81%ae%e3%83%ac%e3%83%8f%e3%82%99%e3%83%ac%e3%83%83%e3%82%b7%e3%82%99\/","title":{"rendered":"R \u3067\u30ec\u30d0\u30ec\u30c3\u30b8\u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u7d71\u8a08\u306b\u304a\u3051\u308b\u89b3\u5bdf\/\" target=\"_blank\" rel=\"noopener\">\u7d71\u8a08<\/a>\u3067\u306f\u3001\u5fdc\u7b54\u5909\u6570\u306e\u5024\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u6b8b\u308a\u306e\u89b3\u6e2c\u5024\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u89b3\u6e2c\u5024\u306f<strong>\u5916\u308c\u5024<\/strong>\u3068\u307f\u306a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u540c\u69d8\u306b\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u6b8b\u308a\u306e\u89b3\u6e2c\u5024\u3068\u6bd4\u8f03\u3057\u3066\u975e\u5e38\u306b\u6975\u7aef\u306a\u4e88\u6e2c\u5909\u6570\u306e\u5024\u304c 1 \u3064\u4ee5\u4e0a\u3042\u308b<strong>\u89b3\u6e2c<\/strong>\u5024\u306f\u3001\u3066\u3053\u6bd4\u304c\u9ad8\u3044\u3068\u898b\u306a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3042\u3089\u3086\u308b\u30bf\u30a4\u30d7\u306e\u5206\u6790\u306b\u304a\u3051\u308b\u6700\u521d\u306e\u30b9\u30c6\u30c3\u30d7\u306e 1 \u3064\u306f\u3001\u7279\u5b9a\u306e\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u306b\u5927\u304d\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u9ad8\u3044\u5f71\u97ff\u529b\u3092\u6301\u3064\u89b3\u6e2c\u5024\u3092\u8a73\u3057\u304f\u8abf\u3079\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u306e\u30e2\u30c7\u30eb\u5185\u306e\u5404\u89b3\u6e2c\u5024\u306e\u3066\u3053\u6bd4\u3092\u8a08\u7b97\u3057\u3066\u8996\u899a\u5316\u3059\u308b\u65b9\u6cd5\u3092\u6bb5\u968e\u7684\u306b\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u56de\u5e30\u30e2\u30c7\u30eb\u3092\u4f5c\u6210\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001R \u306b\u7d44\u307f\u8fbc\u307e\u308c\u3066\u3044\u308b<strong>mtcars<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u3066<a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb<\/a>\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit a regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 30.735904 1.331566 23.083 &lt; 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.127 on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09\n<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u5404\u89b3\u6e2c\u5024\u306e\u3066\u3053\u6bd4\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>hatvalues()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u30e2\u30c7\u30eb\u5185\u306e\u5404\u89b3\u6e2c\u5024\u306e\u3066\u3053\u6bd4\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate leverage for each observation in the model\n<\/span>hats &lt;- <span style=\"color: #3366ff;\">as<\/span> . <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (hatvalues(model))\n\n<span style=\"color: #008080;\">#display leverage stats for each observation\n<\/span>hats\n\n                    hatvalues(model)\nMazda RX4 0.04235795\nMazda RX4 Wag 0.04235795\nDatsun 710 0.06287776\nHornet 4 Drive 0.07614472\nHornet Sportabout 0.08097817\nValiant 0.05945972\nDuster 360 0.09828955\nMerc 240D 0.08816960\nMerc 230 0.05102253\nMerc 280 0.03990060\nMerc 280C 0.03990060\nMerc 450SE 0.03890159\nMerc 450SL 0.03890159\nMerc 450SLC 0.03890159\nCadillac Fleetwood 0.19443875\nLincoln Continental 0.16042361\nChrysler Imperial 0.12447530\nFiat 128 0.08346304\nHonda Civic 0.09493784\nToyota Corolla 0.08732818\nToyota Corona 0.05697867\nDodge Challenger 0.06954069\nAMC Javelin 0.05767659\nCamaro Z28 0.10011654\nPontiac Firebird 0.12979822\nFiat X1-9 0.08334018\nPorsche 914-2 0.05785170\nLotus Europa 0.08193899\nFord Pantera L 0.13831817\nFerrari Dino 0.12608583\nMaserati Bora 0.49663919\nVolvo 142E 0.05848459\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u901a\u5e38\u3001\u30ec\u30d0\u30ec\u30c3\u30b8\u5024\u304c 2 \u3088\u308a\u5927\u304d\u3044\u89b3\u6e2c\u5024\u3092\u8a73\u3057\u304f\u8abf\u3079\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u884c\u3046\u7c21\u5358\u306a\u65b9\u6cd5\u306f\u3001\u89b3\u6e2c\u5024\u3092\u30ec\u30d0\u30ec\u30c3\u30b8\u5024\u306b\u57fa\u3065\u3044\u3066\u964d\u9806\u306b\u4e26\u3079\u66ff\u3048\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sort observations by leverage, descending<\/span>\nhats[ <span style=\"color: #3366ff;\">order<\/span> (-hats[' <span style=\"color: #008000;\">hatvalues(model)<\/span> ']), ]\n\n [1] 0.49663919 0.19443875 0.16042361 0.13831817 0.12979822 0.12608583\n [7] 0.12447530 0.10011654 0.09828955 0.09493784 0.08816960 0.08732818\n[13] 0.08346304 0.08334018 0.08193899 0.08097817 0.07614472 0.06954069\n[19] 0.06287776 0.05945972 0.05848459 0.05785170 0.05767659 0.05697867\n[25] 0.05102253 0.04235795 0.04235795 0.03990060 0.03990060 0.03890159\n[31] 0.03890159 0.03890159\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6700\u9ad8\u306e\u30ec\u30d0\u30ec\u30c3\u30b8\u5024\u306f<strong>0.4966<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u6570\u5024\u306f 2 \u3092\u8d85\u3048\u306a\u3044\u305f\u3081\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u3069\u306e\u89b3\u6e2c\u5024\u3082\u9ad8\u3044\u5f71\u97ff\u529b\u3092\u6301\u3063\u3066\u3044\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u5404\u89b3\u6e2c\u5024\u306e\u5f71\u97ff\u3092\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u3001\u5404\u89b3\u6e2c\u5024\u306e\u5f71\u97ff\u3092\u8996\u899a\u5316\u3059\u308b\u305f\u3081\u306e\u7c21\u5358\u306a\u30c1\u30e3\u30fc\u30c8\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot leverage values for each observation<\/span>\nplot(hatvalues(model), type = ' <span style=\"color: #008000;\">h<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12536 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/effet-de-levier1.png\" alt=\"R\u306e\u6d3b\u7528\" width=\"414\" height=\"380\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X \u8ef8\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5404\u89b3\u6e2c\u5024\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u8868\u793a\u3057\u3001Y \u5024\u306f\u5404\u89b3\u6e2c\u5024\u306b\u5bfe\u5fdc\u3059\u308b\u3066\u3053\u6bd4\u7d71\u8a08\u3092\u8868\u793a\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\/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\/\u6b8b\u7559\u75d5\u8de1\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u3067\u306f\u3001\u5fdc\u7b54\u5909\u6570\u306e\u5024\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u6b8b\u308a\u306e\u89b3\u6e2c\u5024\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u89b3\u6e2c\u5024\u306f\u5916\u308c\u5024\u3068\u307f\u306a\u3055\u308c\u307e\u3059\u3002 \u540c\u69d8\u306b\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u6b8b\u308a\u306e\u89b3\u6e2c\u5024\u3068\u6bd4\u8f03\u3057\u3066\u975e\u5e38\u306b\u6975\u7aef\u306a\u4e88\u6e2c\u5909\u6570\u306e\u5024\u304c 1 \u3064\u4ee5\u4e0a\u3042\u308b\u89b3\u6e2c\u5024\u306f\u3001\u3066\u3053\u6bd4\u304c\u9ad8\u3044\u3068\u898b\u306a [&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-1272","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 \u3067\u30ec\u30d0\u30ec\u30c3\u30b8\u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u30ec\u30d0\u30ec\u30c3\u30b8\u7d71\u8a08\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u3001\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7\u306e\u4f8b\u3092\u542b\u3081\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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