{"id":4519,"date":"2023-07-10T10:18:26","date_gmt":"2023-07-10T10:18:26","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae%e7%a9%ba%e8%a9%a6%e9%a8%93\/"},"modified":"2023-07-10T10:18:26","modified_gmt":"2023-07-10T10:18:26","slug":"%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae%e7%a9%ba%e8%a9%a6%e9%a8%93","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%a8%e3%82%a2%e3%83%ad%e3%83%83%e3%82%af%e3%81%a6%e3%82%99%e3%81%ae%e7%a9%ba%e8%a9%a6%e9%a8%93\/","title":{"rendered":"Sas \u3067 white \u306e\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u30db\u30ef\u30a4\u30c8\u306e\u691c\u5b9a\u306f\u3001<\/strong>\u56de\u5e30\u30e2\u30c7\u30eb\u306b<a href=\"https:\/\/statorials.org\/ja\/\u4e0d\u5747\u4e00\u5206\u6563\u6027\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">\u4e0d\u5747\u4e00\u5206\u6563\u6027<\/a>\u304c\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0d\u5747\u4e00\u5206\u6563\u6027\u3068\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u5185\u306e<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u3055\u307e\u3056\u307e\u306a\u30ec\u30d9\u30eb\u3067\u306e<a href=\"https:\/\/statorials.org\/ja\/\u6b8b\u57fa\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>\u306e\u4e0d\u5747\u4e00\u306a\u5206\u6563\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6b8b\u5dee\u304c\u5fdc\u7b54\u5909\u6570\u306e\u5404\u30ec\u30d9\u30eb\u3067\u5747\u7b49\u306b\u5206\u6563\u3059\u308b\u3068\u3044\u3046<a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30\u306e\u4eee\u5b9a\/\" target=\"_blank\" rel=\"noopener\">\u7dda\u5f62\u56de\u5e30\u306e\u91cd\u8981\u306a\u524d\u63d0\u306e<\/a>1 \u3064\u306b\u9055\u53cd\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001SAS \u3067\u30db\u30ef\u30a4\u30c8 \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u3066\u3001\u7279\u5b9a\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u304a\u3044\u3066\u4e0d\u5747\u4e00\u5206\u6563\u6027\u304c\u554f\u984c\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><strong>\u4f8b: SAS \u306e\u30db\u30ef\u30a4\u30c8 \u30c6\u30b9\u30c8<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5b66\u751f\u306e\u6700\u7d42\u8a66\u9a13\u306e\u6210\u7e3e\u3092\u4e88\u6e2c\u3059\u308b\u305f\u3081\u306b\u3001\u5b66\u7fd2\u306b\u8cbb\u3084\u3057\u305f\u6642\u9593\u6570\u3068\u53d7\u9a13\u3057\u305f\u6a21\u64ec\u8a66\u9a13\u306e\u6570\u3092\u4f7f\u7528\u3059\u308b\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8a66\u9a13\u306e\u30b9\u30b3\u30a2 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (\u6642\u9593) + \u03b2 <sub>2<\/sub> (\u4e88\u5099\u8a66\u9a13)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u300120 \u4eba\u306e\u751f\u5f92\u306e\u60c5\u5831\u3092\u542b\u3080\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> exam_data;\n    <span style=\"color: #3366ff;\">input<\/span> hours prep_exams score;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n1 1 76\n2 3 78\n2 3 85\n4 5 88\n2 2 72\n1 2 69\n5 1 94\n4 1 94\n2 0 88\n4 3 92\n4 4 90\n3 3 75\n6 2 90\n5 4 90\n3 4 82\n4 4 85\n6 5 90\n2 1 83\n1 0 62\n2 1 76\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/<\/span>\n<span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =exam_data;<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35323 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bpsas1.png\" alt=\"\" width=\"246\" height=\"511\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>proc reg<\/strong>\u3092\u4f7f\u7528\u3057\u3066\u3053\u306e\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3059\u308b\u3068\u3068\u3082\u306b\u3001 <b>spec<\/b>\u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3057\u3066\u4e0d\u5747\u4e00\u5206\u6563\u6027\u306e White \u306e\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*fit regression model and perform White's test*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =exam_data;\n    <span style=\"color: #3366ff;\">model<\/span> score = hours prep_exams \/ <span style=\"color: #3366ff;\">spec<\/span> ;\n<span style=\"color: #800080;\">run<\/span> ;\n<span style=\"color: #800080;\">quit<\/span> ;<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35339\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ws1.png\" alt=\"SAS\u306e\u30db\u30ef\u30a4\u30c8\u30c6\u30b9\u30c8\" width=\"448\" height=\"740\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306e\u7d50\u679c\u8868\u306f\u3001White \u306e\u30c6\u30b9\u30c8\u306e\u7d50\u679c\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u8868\u304b\u3089\u3001\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u7d71\u8a08\u91cf\u304c<b>3.54<\/b>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u304c<strong>0.6175<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30db\u30ef\u30a4\u30c8\u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Null (H <sub>0<\/sub> )<\/strong> : \u4e0d\u5747\u4e00\u5206\u6563\u6027\u306f\u5b58\u5728\u3057\u307e\u305b\u3093\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4ee3\u66ff ( <sub>HA<\/sub> ):<\/strong>\u4e0d\u5747\u4e00\u5206\u6563\u6027\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">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<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\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\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u56de\u5e30\u8981\u7d04\u30c6\u30fc\u30d6\u30eb\u306e\u4fc2\u6570\u63a8\u5b9a\u5024\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u5b89\u5168\u306b\u89e3\u91c8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h2><strong>\u6b21\u306f\u3069\u3046\u3059\u308b<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u30db\u30ef\u30a4\u30c8\u306e\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u306a\u304b\u3063\u305f\u5834\u5408\u3001\u4e0d\u5747\u4e00\u5206\u6563\u6027\u306f\u5b58\u5728\u3057\u306a\u3044\u305f\u3081\u3001\u5143\u306e\u56de\u5e30\u306e\u7d50\u679c\u306e\u89e3\u91c8\u306b\u9032\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3060\u3057\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u305f\u5834\u5408\u306f\u3001\u30c7\u30fc\u30bf\u306b\u4e0d\u5747\u4e00\u5206\u6563\u6027\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u56de\u5e30\u51fa\u529b\u30c6\u30fc\u30d6\u30eb\u306b\u8868\u793a\u3055\u308c\u308b\u6a19\u6e96\u8aa4\u5dee\u306f\u4fe1\u983c\u3067\u304d\u306a\u3044\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306a\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u304c\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u5fdc\u7b54\u5909\u6570\u3092\u5909\u63db\u3057\u307e\u3059\u3002<\/strong>\u5fdc\u7b54\u5909\u6570\u306b\u5bfe\u3057\u3066\u5909\u63db\u3092\u5b9f\u884c\u3057\u3066\u307f\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u5143\u306e\u5fdc\u7b54\u5909\u6570\u306e\u4ee3\u308f\u308a\u306b\u30ed\u30b0\u5fdc\u7b54\u5909\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u306b<\/span><span style=\"color: #000000;\">\u3001\u5fdc\u7b54\u5909\u6570\u306e\u5bfe\u6570\u3092\u53d6\u308b\u3053\u3068\u306f\u3001\u4e0d\u5747\u4e00\u5206\u6563\u6027\u3092\u89e3\u6d88\u3059\u308b\u52b9\u679c\u7684\u306a\u65b9\u6cd5\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3082\u3046 1 \u3064\u306e\u4e00\u822c\u7684\u306a\u5909\u63db\u306f\u3001\u5fdc\u7b54\u5909\u6570\u306e\u5e73\u65b9\u6839\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u91cd\u307f\u4ed8\u3051\u56de\u5e30\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/strong>\u3053\u306e\u30bf\u30a4\u30d7\u306e\u56de\u5e30\u3067\u306f\u3001\u8fd1\u4f3c\u5024\u306e\u5206\u6563\u306b\u57fa\u3065\u3044\u3066\u5404\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306b\u91cd\u307f\u304c\u5272\u308a\u5f53\u3066\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306b\u3088\u308a\u3001\u5206\u6563\u304c\u5927\u304d\u3044\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306b\u5c0f\u3055\u306a\u91cd\u307f\u304c\u4e0e\u3048\u3089\u308c\u3001\u6b8b\u5dee\u4e8c\u4e57\u304c\u6e1b\u5c11\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9069\u5207\u306a\u91cd\u307f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u4e0d\u5747\u4e00\u5206\u6563\u6027\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30db\u30ef\u30a4\u30c8\u306e\u691c\u5b9a\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306b\u4e0d\u5747\u4e00\u5206\u6563\u6027\u304c\u5b58\u5728\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u4e0d\u5747\u4e00\u5206\u6563\u6027\u3068\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u5185\u306e\u5fdc\u7b54\u5909\u6570\u306e\u3055\u307e\u3056\u307e\u306a\u30ec\u30d9\u30eb\u3067\u306e\u6b8b\u5dee\u306e\u4e0d\u5747\u4e00\u306a\u5206\u6563\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u6b8b\u5dee\u304c\u5fdc\u7b54\u5909\u6570\u306e\u5404\u30ec\u30d9\u30eb\u3067\u5747 [&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-4519","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>SAS \u3067 White \u306e\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 - Statorials<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001SAS \u3067 White \u306e\u4e0d\u5747\u4e00\u5206\u6563\u6027\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u6319\u3052\u3066\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 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