{"id":320,"date":"2024-03-21T13:24:06","date_gmt":"2024-03-21T04:24:06","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/pteiki\/?page_id=320"},"modified":"2024-04-07T13:48:41","modified_gmt":"2024-04-07T04:48:41","slug":"chap9","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/pteiki\/text\/stat5\/chap9\/","title":{"rendered":"09 1\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3068\u591a\u91cd\u6bd4\u8f03"},"content":{"rendered":"<h1><span style=\"color: #ff6600\">\u25a0<\/span> \u4ed6\u7d71\u8a08\u30bd\u30d5\u30c8\u3068R\u30b3\u30de\u30f3\u30c0\u30fc\u306e\u591a\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u306e\u7d50\u679c\u304c\u7570\u306a\u308b\u70b9\u306b\u3064\u3044\u3066<\/h1>\n<p>R\u30b3\u30de\u30f3\u30c0\u30fc\u3067\u5206\u6563\u5206\u6790\u3092\u884c\u3063\u305f\u7d50\u679c\u306f\uff0c\u4ed6\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\uff08\u4f8b\u3048\u3070SPSS\u306a\u3069\uff09\u3068\u7570\u306a\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\uff0e<span 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\/>\n\u5b9f\u969b\u306e\u89e3\u6790\u3092\u884c\u3046\u4e0a\u3067\u306f\uff0c\u7279\u306b\u6c17\u306b\u305b\u305a\u305d\u306e\u307e\u307e\u306e\u7d50\u679c\u3092\u89e3\u91c8\u3057\u3066\u3082\u3089\u3063\u3066\u3082\u826f\u3044\u306e\u3067\u3059\u304c\uff0cR\u30b3\u30de\u30f3\u30c0\u30fc\u306f\uff0c\u3053\u306e<span style=\"color: #0000ff\">\u5e73\u65b9\u548c\u306etype\u304c\u4ed6\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u3068\u7570\u306a\u308b\u305f\u3081\u306b\uff0c\u7d50\u679c\u304c\u4e00\u81f4\u3057\u306a\u3044\u3068\u304d\u304c\u3042\u308a\u307e\u3059<\/span>\uff0e<br \/>\n\u305d\u306e\u7406\u7531\u3068\u3057\u3066\u4ee5\u4e0b\u306e2\u70b9\u304c\u3042\u308a\u307e\u3059\uff0e<\/p>\n<div style=\"background: #e0ffff;border: 0px solid #009933;padding: 0.5em 1em;margin: 1em 0;color: #474747\">\u2460\u5e02\u8ca9\u3055\u308c\u3066\u3044\u308b\u7d71\u8a08\u30bd\u30d5\u30c8\u306f\uff0c<span style=\"color: #0000ff\">\u307b\u3068\u3093\u3069\u304ctype\u2162\u5e73\u65b9\u548c<\/span>\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059\uff0eR\u3067\u306f\uff0c\u5206\u6563\u5206\u6790\u306e\u95a2\u6570\u3068\u3057\u3066\uff0caov\uff0canova\uff0cAnova\u3068\u3044\u3046\u5c11\u306a\u304f\u3068\u30823\u3064\u306e\u95a2\u6570\u304c\u3042\u308a\uff0c\u305d\u308c\u305e\u308c\u306b\u3088\u3063\u3066\u5e73\u65b9\u548c\u304c\u3053\u3068\u306a\u308a\u307e\u3059\uff08\u4e0b\u8868\uff09\uff0e<br \/>\n\u2461\u5e02\u8ca9\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u3067\u306f\uff0c<span style=\"color: #0000ff\">\u56fa\u5b9a\u56e0\u5b50\uff0c\u5909\u91cf\u56e0\u5b50\u306e\u6307\u5b9a\u304c\u53ef\u80fd<\/span>\u3067\u3059\u304c\uff0cR\u30b3\u30de\u30f3\u30c0\u30fc\u3067\u306f<span style=\"color: #0000ff\">\u5e38\u306b\u56fa\u5b9a\u56e0\u5b50<\/span>\u3068\u3057\u3066\u89e3\u6790\u3057\u307e\u3059\uff0e<\/div>\n<p>aov\uff0canova\uff0cAnova\u3068\u3044\u30463\u3064\u306e\u95a2\u6570\u306e\u8a2d\u5b9a\u3092\u4ee5\u4e0b\u306e\u8868\u306b\u307e\u3068\u3081\u307e\u3059\uff0e<\/p>\n<table style=\"width: 64.3846%\" border=\"1\" width=\"100%\">\n<tbody>\n<tr>\n<th style=\"width: 8.81282%;text-align: center\">\u95a2\u6570<\/th>\n<th style=\"width: 22.9774%;text-align: center\">\u00a0\u5e73\u65b9\u548c<\/th>\n<th style=\"width: 25.5225%;text-align: center\">\u5b9a\u6570\u9805<\/th>\n<th style=\"width: 15.0954%;text-align: center\">\u56e0\u5b50<\/th>\n<\/tr>\n<tr>\n<td style=\"width: 8.81282%;text-align: center\">aov<\/td>\n<td style=\"width: 22.9774%;text-align: center\">\u00a0type\u2160<\/td>\n<td style=\"width: 25.5225%;text-align: center\">\u3042\u308a\uff08\u51fa\u529b\u306f\u6291\u5236\u3055\u308c\u308b\uff09<\/td>\n<td style=\"width: 15.0954%;text-align: center\">\u00a0\u56fa\u5b9a\u306e\u307f<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.81282%;text-align: center\">anova<\/td>\n<td style=\"width: 22.9774%;text-align: center\">\u00a0type\u2161<\/td>\n<td style=\"width: 25.5225%;text-align: center\">\u3042\u308a\uff08\u51fa\u529b\u306f\u6291\u5236\u3055\u308c\u308b\uff09<\/td>\n<td style=\"width: 15.0954%;text-align: center\">\u00a0\u56fa\u5b9a\u306e\u307f<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 8.81282%;text-align: center\">Anova<\/td>\n<td style=\"width: 22.9774%;text-align: center\">\u00a0type\u2161\uff08\u30aa\u30d7\u30b7\u30e7\u30f3\u3067\u2162\u3082\u53ef\uff09<\/td>\n<td style=\"width: 25.5225%;text-align: center\">\u3042\u308a\uff08type\u2161\u306e\u3068\u304d\u306f\u6291\u5236\uff09<\/td>\n<td style=\"width: 15.0954%;text-align: center\">\u00a0\u56fa\u5b9a\u306e\u307f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000\">\u5e73\u65b9\u548c\u306e<strong><span style=\"background: linear-gradient(transparent 70%,#fff9c4 0%)\">type \u2161\u3082\u3057\u304f\u306f\u2162\u3092\u4f7f\u7528\u3059\u308b\u306e\u304c\u4e00\u822c\u7684<\/span><\/strong>\u3067\uff0c\u3057\u304b\u3057\u3069\u3061\u3089\u3092\u4f7f\u7528\u3057\u305f\u3089\u3088\u3044\u304b\u306b\u3064\u3044\u3066\u306f<strong><span style=\"background: linear-gradient(transparent 70%,#fff9c4 0%)\">\u307e\u3060\u7d50\u8ad6\u304c\u51fa\u3066\u3044\u307e\u305b\u3093<\/span><\/strong>\uff0e\u5f93\u3063\u3066\uff0c\uff32\u30b3\u30de\u30f3\u30c0\u30fc\u304ctype\u2161\u3067\u8a08\u7b97\u3057\u3066\u3044\u308b\u70b9\u306b\u3064\u3044\u3066\u306f\uff0c\u4ed6\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u3068\u7570\u306a\u308b\u7d50\u679c\u304c\u5f97\u3089\u308c\u305f\u3068\u3057\u3066\u3082\uff0c\u7279\u306b\u6c17\u306b\u3057\u306a\u304f\u3066\u3082\u3088\u3044\u3067\u3059\uff0e<strong><span style=\"background: linear-gradient(transparent 70%,#fff9c4 0%)\">type \u2160\u306f\u63a8\u5968\u3055\u308c\u307e\u305b\u3093<\/span><\/strong>\uff08\u305f\u3060\u30572\u5143\u914d\u7f6e\u4ee5\u4e0a\u3067\u4ea4\u4e92\u4f5c\u7528\u9805\u3092\u8a2d\u3051\u308b\u3068\u304d\uff09\uff0e<\/span><br \/>\n<span style=\"color: #000000\">\u305d\u308c\u3067\u306f\u3069\u306e\u3088\u3046\u306a\u6642\u306b\u7d71\u8a08\u30bd\u30d5\u30c8\u9593\u3067\u7d50\u679c\uff08p\u5024\u3082\u542b\u3081\uff09\u304c\u7570\u306a\u308b\u304b\u3067\u3059\u304c\uff0c<\/span><\/p>\n<div style=\"background: #e0ffff;border: 0px solid #009933;padding: 0.5em 1em;margin: 1em 0;color: #474747\"><span style=\"color: #000000\">\u2460\u4ea4\u4e92\u4f5c\u7528\u3092\u8a2d\u3051\u305f\u3068\u304d\u306e2\u5143\u914d\u7f6e\u4ee5\u4e0a\u306e\u5206\u6563\u5206\u6790\u306e\u3068\u304d\uff08\u4ea4\u4e92\u4f5c\u7528\u3092\u8a2d\u3051\u306a\u3044\u8a08\u7b97\u3067\u306f\u4e00\u81f4\u3059\u308b\uff09<\/span><br \/>\n<span style=\"color: #000000\">\u2461\u4ea4\u4e92\u4f5c\u7528\u3092\u8a2d\u3051\u305f\u3068\u304d\u306e2\u5143\u914d\u7f6e\u4ee5\u4e0a\u306e\u5206\u6563\u5206\u6790\u3067\uff0c\u5909\u91cf\u56e0\u5b50\u306b\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u5909\u6570\u304c\u5b58\u5728\u3059\u308b\u3068\u304d\uff0eR\u3067\u306f\u5909\u91cf\u56e0\u5b50\u306b\u3067\u304d\u306a\u3044\u305f\u3081\uff08\u6b63\u78ba\u306b\u306f\u4ed6\u306e\u95a2\u6570\u3092\u4f7f\u3048\u3070\u53ef\u80fd\uff09<\/span><br \/>\n<span style=\"color: #000000\">\u2462\u4ea4\u4e92\u4f5c\u7528\u3092\u8a2d\u3051\u305f\u3068\u304d\u306e2\u5143\u914d\u7f6e\u4ee5\u4e0a\u306e\u5206\u6563\u5206\u6790\u3067\uff0c\u6c34\u6e96\u9593\u306en\u304c\u7570\u306a\u308b\u3068\u304d<\/span><\/div>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\uff0c<span style=\"color: #ff0000\"><strong><span style=\"background: linear-gradient(transparent 70%,#fff9c4 0%)\">\u4ea4\u4e92\u4f5c\u7528\u3092\u542b\u3081\u3066\u691c\u5b9a\u3059\u308b\u3068\u304d<\/span><\/strong>\uff08\u3057\u304b\u3057\uff0c\u4ea4\u4e92\u4f5c\u7528\u304cp\u22521\u306e\u3068\u304d\u306f\u5f71\u97ff\u306f\u5c0f\u3055\u3044\uff09\u306b\uff0c\u7d71\u8a08\u30bd\u30d5\u30c8\u9593\u3067\u7d50\u679c\u304c\u7570\u306a\u308b\u53ef\u80fd\u6027<\/span>\u304c\u3042\u308a\u307e\u3059\uff0e<br \/>\nR\u30b3\u30de\u30f3\u30c0\u30fc\u3067\u306ftype\u2162\u304c\u4f7f\u7528\u3055\u308c\u3066\u3044\u306a\u3044\u306e\u3067\uff0c\u3053\u306e\u70b9\u306b\u7559\u610f\u3057\u3066\u304f\u3060\u3055\u3044\uff0e\u3082\u3061\u308d\u3093\uff0c\u3069\u3061\u3089\u304c\u6b63\u3057\u3044\u3068\u3082\u9593\u9055\u3063\u3066\u3044\u308b\u3068\u3082\u8a00\u3048\u307e\u305b\u3093\u306e\u3067\uff0cR\u30b3\u30de\u30f3\u30c0\u30fc\u304c\u304a\u304b\u3057\u3044\uff0c\u3068\u3044\u3046\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\uff0e<\/p>\n<p><span style=\"font-size: 10pt\"><span style=\"color: #ff0000\">\u203b1<\/span>\u30002021\/1\/11\u4ee5\u964d\u914d\u5e03\u306e<a href=\"https:\/\/personal.hs.hirosaki-u.ac.jp\/pteiki\/research\/stat\/R\/\" target=\"_blank\" rel=\"noopener\">\u6539\u5909R\u30b3\u30de\u30f3\u30c0\u30fc<\/a><span style=\"color: #ff0000\">\u203b\u203b<\/span>\u3067\u306f\uff0c\u8ffd\u52a0\u30e1\u30cb\u30e5\u30fc[\u7d71\u8a08\u91cf]\uff0d[\u5206\u6563\u5206\u6790]\u306e\u5404\u5206\u6563\u5206\u6790\u306ftype\u2162\u3067\u8a08\u7b97\u3057\u3066\u3044\u307e\u3059\uff0e\u30aa\u30ea\u30b8\u30ca\u30eb\u306e[\u7d71\u8a08\u91cf]\uff0d[\u5e73\u5747]\uff0d[\u591a\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790]\u306ftype\u2161\u306a\u306e\u3067\u7d50\u679c\u304c\u7570\u306a\u308b\u3068\u304d\u304c\u3042\u308a\u307e\u3059\uff0e<\/span><br \/>\n<span style=\"font-size: 10pt\">\u3000\u306a\u304a\uff0c[\u7d71\u8a08\u91cf]\uff0d[\u5e73\u5747]\uff0d[1\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790]\uff0c\u8ffd\u52a0\u30e1\u30cb\u30e5\u30fc[\u7d71\u8a08\u91cf]\uff0d[\u5dee\u306e\u691c\u5b9a]\uff0d[3\u6a19\u672c\u4ee5\u4e0a\u306e\u5dee\u306e\u691c\u5b9a\uff08\u81ea\u52d5\u9078\u629e\uff09]\u3067\u306ftype\u2160\uff08aov\u95a2\u6570\uff09\u3067\u8a08\u7b97\u3057\u3066\u3044\u307e\u3059\u304c\uff0c1\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u306a\u306e\u3067\u5e73\u65b9\u548c\u306e\u9055\u3044\u3067\u554f\u984c\u306f\u304a\u3053\u308a\u307e\u305b\u3093\uff0e<\/span><br \/>\n<span style=\"font-size: 10pt\"><span style=\"color: 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