{"id":1226,"date":"2023-07-27T05:25:49","date_gmt":"2023-07-27T05:25:49","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%b9%e3%82%b1%e3%83%bc%e3%83%ab%e3%81%ab%e5%90%88%e3%82%8f%e3%81%9b%e3%81%9f%e4%bd%8d%e7%bd%ae\/"},"modified":"2023-07-27T05:25:49","modified_gmt":"2023-07-27T05:25:49","slug":"%e3%82%b9%e3%82%b1%e3%83%bc%e3%83%ab%e3%81%ab%e5%90%88%e3%82%8f%e3%81%9b%e3%81%9f%e4%bd%8d%e7%bd%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%b9%e3%82%b1%e3%83%bc%e3%83%ab%e3%81%ab%e5%90%88%e3%82%8f%e3%81%9b%e3%81%9f%e4%bd%8d%e7%bd%ae\/","title":{"rendered":"\u30b9\u30b1\u30fc\u30eb\u3068\u4f4d\u7f6e\u306e\u30d7\u30ed\u30c3\u30c8\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5: \u4f8b\u4ed8\u304d"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30b1\u30fc\u30eb\u4f4d\u7f6e\u30c1\u30e3\u30fc\u30c8\u306f\u3001<\/strong> x \u8ef8\u306b\u6cbf\u3063\u3066<a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u56de\u5e30\u30e2\u30c7\u30eb<\/a>\u306e\u8fd1\u4f3c\u5024\u3092\u8868\u793a\u3057\u3001y \u8ef8\u306b\u6cbf\u3063\u3066\u6a19\u6e96\u5316\u6b8b\u5dee\u306e\u5e73\u65b9\u6839\u3092\u8868\u793a\u3059\u308b\u30c1\u30e3\u30fc\u30c8\u306e\u4e00\u7a2e\u3067\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12171 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/echelleemplacement1.png\" alt=\"\u62e1\u5927\u7e2e\u5c0f\u3055\u308c\u305f\u4f4d\u7f6e\u56f3\" width=\"437\" height=\"416\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30b0\u30e9\u30d5\u3092\u898b\u308b\u3068\u3001\u6b21\u306e 2 \u3064\u306e\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u30d7\u30ed\u30c3\u30c8\u4e0a\u3067\u8d64\u3044\u7dda\u304c\u307b\u307c\u6c34\u5e73\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u3053\u308c\u304c\u5f53\u3066\u306f\u307e\u308b\u5834\u5408\u3001\u7279\u5b9a\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u3064\u3044\u3066\u7b49<a href=\"https:\/\/statorials.org\/ja\/\u4e0d\u5747\u4e00\u5206\u6563\u6027\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5206\u6563\u6027<\/a>\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b8b\u5dee\u306e\u5206\u5e03\u306f\u3059\u3079\u3066\u306e\u8fd1\u4f3c\u5024\u3067\u307b\u307c\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u6b8b\u5dee\u9593\u306b\u660e\u78ba\u306a\u50be\u5411\u304c\u306a\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6b8b\u5dee\u306f\u3001\u3059\u3079\u3066\u306e\u8fd1\u4f3c\u5024\u306b\u5bfe\u3057\u3066\u307b\u307c\u7b49\u3057\u3044\u5909\u52d5\u6027\u3067\u8d64\u3044\u7dda\u306e\u5468\u56f2\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u6563\u5728\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u3067\u306e\u30b9\u30b1\u30fc\u30eb\u3068\u4f4d\u7f6e\u306e\u30d7\u30ed\u30c3\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3057\u3001\u7d50\u679c\u306e\u30e2\u30c7\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u3068\u4f4d\u7f6e\u306e\u30d7\u30ed\u30c3\u30c8\u3092\u751f\u6210\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>model &lt;- lm(Ozone ~ Temp, data = airquality)\n\n<span style=\"color: #008080;\">#produce scale-location plot\n<\/span>plot(model)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12172 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/echelleemplacement2.png\" alt=\"R \u3067\u306e\u4f4d\u7f6e\u30d7\u30ed\u30c3\u30c8\u306e\u30b9\u30b1\u30fc\u30eb\" width=\"420\" height=\"406\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u30b9\u30b1\u30fc\u30eb\u3068\u4f4d\u7f6e\u306e\u30d7\u30ed\u30c3\u30c8\u304b\u3089\u3001\u6b21\u306e 2 \u3064\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u8d64\u3044\u7dda\u306f\u30d7\u30ed\u30c3\u30c8\u4e0a\u3067\u307b\u307c\u6c34\u5e73\u3067\u3059\u3002\u3053\u308c\u304c\u5f53\u3066\u306f\u307e\u308b\u5834\u5408\u3001\u7279\u5b9a\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u3064\u3044\u3066\u7b49<a href=\"https:\/\/statorials.org\/ja\/\u4e0d\u5747\u4e00\u5206\u6563\u6027\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5206\u6563\u6027<\/a>\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b8b\u5dee\u306e\u5206\u5e03\u306f\u3059\u3079\u3066\u306e\u8fd1\u4f3c\u5024\u3067\u307b\u307c\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong>\u6b8b\u5dee\u9593\u306b\u660e\u78ba\u306a\u50be\u5411\u304c\u306a\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u6b8b\u5dee\u306f\u3001\u3059\u3079\u3066\u306e\u8fd1\u4f3c\u5024\u306b\u5bfe\u3057\u3066\u307b\u307c\u7b49\u3057\u3044\u5909\u52d5\u6027\u3067\u8d64\u3044\u7dda\u306e\u5468\u56f2\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u6563\u5728\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u6280\u8853\u7684\u306a\u30e1\u30e2<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b0\u30e9\u30d5\u3067\u306f\u3001\u6a19\u6e96\u5316\u6b8b\u5dee\u304c\u6700\u3082\u9ad8\u3044\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u306e 3 \u3064\u306e\u89b3\u6e2c\u5024\u304c\u30e9\u30d9\u30eb\u4ed8\u3051\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u884c 30\u300162\u3001\u304a\u3088\u3073 117 \u306e\u89b3\u6e2c\u5024\u304c\u6700\u3082\u9ad8\u3044\u6a19\u6e96\u5316\u6b8b\u5dee\u3092\u6301\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u5fc5\u305a\u3057\u3082\u3053\u308c\u3089\u306e\u89b3\u6e2c\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u3053\u308c\u3089\u306e\u89b3\u6e2c\u5024\u3092\u3088\u308a\u8a73\u3057\u304f\u8abf\u3079\u308b\u305f\u3081\u306b\u5143\u306e\u30c7\u30fc\u30bf\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u30b9\u30b1\u30fc\u30eb\u4f4d\u7f6e\u30d7\u30ed\u30c3\u30c8\u3067\u306f\u8d64\u3044\u7dda\u304c\u307b\u307c\u6c34\u5e73\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u304c\u3001\u3053\u308c\u306f\u7b49\u5206\u6563\u6027\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u8996\u899a\u7684\u306b\u78ba\u8a8d\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u306e\u307f\u6a5f\u80fd\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b49\u5206\u6563\u6027\u306e\u4eee\u5b9a\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u6b63\u5f0f\u306a\u7d71\u8a08\u691c\u5b9a\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u30d5\u3099\u30ea\u30e5\u30fc\u30b7\u30e5\u7570\u6559\u306e\u30c6\u30b9\u30c8r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Breusch-Pagan \u691c\u5b9a<\/a>\u3067\u3059\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u306e Breusch-Pagan \u30c6\u30b9\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001 <strong>lmtest<\/strong>\u30d1\u30c3\u30b1\u30fc\u30b8\u306e<strong>bptest()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001R \u3067 Breusch-Pagan \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\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;\">#load lmtest package\n<\/span>library(lmtest)\n\n<span style=\"color: #008080;\">#perform Breusch-Pagan Test\n<\/span>bptest(model)\n\n\tstudentized Breusch-Pagan test\n\ndata: model\nBP = 1.4798, df = 1, p-value = 0.2238\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Breusch-Pagan \u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5e30\u7121\u4eee\u8aac (H <sub>0<\/sub> ): \u6b8b\u5dee\u306f\u7b49\u5206\u6563\u7684 (\u3064\u307e\u308a\u3001\u4e00\u69d8\u306b\u5206\u5e03\u3057\u3066\u3044\u308b)<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5bfe\u7acb\u4eee\u8aac ( <sub>HA<\/sub> ): \u6b8b\u5dee\u306f\u4e0d\u5747\u4e00\u5206\u6563\u3067\u3042\u308b (\u3064\u307e\u308a\u3001\u5747\u4e00\u306b\u5206\u5e03\u3057\u3066\u3044\u306a\u3044)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u304b\u3089\u3001\u691c\u5b9a\u306e p \u5024\u306f<strong>0.2238<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u4e0d\u5747\u4e00\u5206\u6563\u6027\u304c\u5b58\u5728\u3059\u308b\u3068\u4e3b\u5f35\u3059\u308b\u5341\u5206\u306a\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7d50\u679c\u306f\u3001\u30b9\u30b1\u30fc\u30eb\u3068\u4f4d\u7f6e\u306e\u30d7\u30ed\u30c3\u30c8\u306e\u8d64\u3044\u7dda\u306e\u76ee\u8996\u691c\u67fb\u3068\u4e00\u81f4\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\/\u4e0d\u5747\u4e00\u5206\u6563\u6027\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u56de\u5e30\u5206\u6790\u306b\u304a\u3051\u308b\u4e0d\u5747\u4e00\u5206\u6563\u6027\u306e\u7406\u89e3<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u6b8b\u7559\u75d5\u8de1\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u3067\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u30d5\u3099\u30ea\u30e5\u30fc\u30b7\u30e5\u7570\u6559\u306e\u30c6\u30b9\u30c8r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u3067 Breusch-Pagan \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30b9\u30b1\u30fc\u30eb\u4f4d\u7f6e\u30c1\u30e3\u30fc\u30c8\u306f\u3001 x \u8ef8\u306b\u6cbf\u3063\u3066\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u8fd1\u4f3c\u5024\u3092\u8868\u793a\u3057\u3001y \u8ef8\u306b\u6cbf\u3063\u3066\u6a19\u6e96\u5316\u6b8b\u5dee\u306e\u5e73\u65b9\u6839\u3092\u8868\u793a\u3059\u308b\u30c1\u30e3\u30fc\u30c8\u306e\u4e00\u7a2e\u3067\u3059\u3002 \u3053\u306e\u30b0\u30e9\u30d5\u3092\u898b\u308b\u3068\u3001\u6b21\u306e 2 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