{"id":480,"date":"2023-07-29T18:29:23","date_gmt":"2023-07-29T18:29:23","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%ba%8b%e5%be%8c%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e3%83%86%e3%82%b9%e3%83%88\/"},"modified":"2023-07-29T18:29:23","modified_gmt":"2023-07-29T18:29:23","slug":"%e4%ba%8b%e5%be%8c%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e3%83%86%e3%82%b9%e3%83%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%ba%8b%e5%be%8c%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e3%83%86%e3%82%b9%e3%83%88\/","title":{"rendered":"Anova \u3067\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u305f\u3081\u306e\u30ac\u30a4\u30c9"},"content":{"rendered":"

<\/p>\n

\n

ANOVA<\/strong>\u306f\u30013 \u3064\u4ee5\u4e0a\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u691c\u5b9a\u3067\u3059\u3002<\/span><\/p>\n

ANOVA \u3067\u4f7f\u7528\u3055\u308c\u308b\u4eee\u5b9a\u306f<\/a>\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n

\u5e30\u7121\u4eee\u8aac (H 0<\/sub> ): \u00b5 1<\/sub> = \u00b5 2<\/sub> = \u00b5 3<\/sub> = \u2026 = \u00b5 k<\/sub> (\u5e73\u5747\u306f\u5404\u30b0\u30eb\u30fc\u30d7\u3067\u7b49\u3057\u3044)<\/span><\/p>\n

\u5bfe\u7acb\u4eee\u8aac: (\u30cf): \u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u624b\u6bb5\u304c\u4ed6\u306e\u624b\u6bb5\u3068\u306f\u7570\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n

ANOVA \u306ep \u5024<\/a>\u304c\u6709\u610f\u6c34\u6e96\u3092\u4e0b\u56de\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u306e\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u304c\u4ed6\u306e\u5e73\u5747\u3068\u306f\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u305f\u3060\u3057\u3001\u3053\u308c\u3067\u306f\u3069\u306e<\/em>\u30b0\u30eb\u30fc\u30d7\u304c\u4e92\u3044\u306b\u7570\u306a\u308b\u304b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u306f\u5358\u306b\u3001\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u304c\u7b49\u3057\u3044\u308f\u3051\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n

\u3069\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u4e92\u3044\u306b\u7570\u306a\u3063\u3066\u3044\u308b\u304b\u3092\u6b63\u78ba\u306b\u77e5\u308b\u306b\u306f\u3001\u4e8b\u5f8c\u30c6\u30b9\u30c8<\/strong>(\u591a\u91cd\u6bd4\u8f03\u30c6\u30b9\u30c8\u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5bb6\u65cf\u3092\u5236\u5fa1\u3057\u306a\u304c\u3089\u8907\u6570\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306e\u5dee\u7570\u3092\u8abf\u67fb\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u3002\u59a5\u5f53\u306a\u30a8\u30e9\u30fc\u7387\u3002<\/span><\/p>\n

\n

\u6280\u8853\u7684\u306a\u6ce8\u610f:<\/strong> ANOVA \u306e p \u5024\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5834\u5408\u306b\u306e\u307f\u4e8b\u5f8c\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002 p \u5024\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306a\u3044\u5834\u5408\u306f\u3001\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u304c\u4e92\u3044\u306b\u7570\u306a\u3063\u3066\u3044\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3069\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u4e92\u3044\u306b\u7570\u306a\u308b\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<\/blockquote>\n

\u5bb6\u65cf\u306e\u30a8\u30e9\u30fc\u7387<\/span><\/strong><\/h2>\n

\u524d\u8ff0\u3057\u305f\u3088\u3046\u306b\u3001\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387<\/strong>\u3092\u5236\u5fa1\u3057\u306a\u304c\u3089\u3001\u8907\u6570\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306e\u5dee\u3092\u30c6\u30b9\u30c8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u4eee\u8aac\u691c\u5b9a<\/a>\u3067\u306f\u3001\u30bf\u30a4\u30d7 I \u306e\u904e\u8aa4\u7387\u304c\u5e38\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u6709\u610f\u6c34\u6e96 (\u30a2\u30eb\u30d5\u30a1) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u3001\u5b9f\u969b\u306b\u771f\u3067\u3042\u308b\u5e30\u7121\u4eee\u8aac\u304c\u68c4\u5374\u3055\u308c\u308b\u78ba\u7387\u3092\u793a\u3057\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u3053\u308c\u306f\u300c\u507d\u967d\u6027\u300d\u3001\u3064\u307e\u308a\u30b0\u30eb\u30fc\u30d7\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u3068\u4e3b\u5f35\u3057\u3066\u3044\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u5b9f\u969b\u306b\u306f\u305d\u3046\u3067\u306f\u306a\u3044\u5834\u5408\u306e\u78ba\u7387\u3067\u3059\u3002<\/span><\/p>\n

\u4eee\u8aac\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u5834\u5408\u3001\u30bf\u30a4\u30d7 I \u904e\u8aa4\u7387\u306f\u6709\u610f\u6c34\u6e96\u3068\u7b49\u3057\u304f\u3001\u901a\u5e38\u306f 0.01\u30010.05\u3001\u307e\u305f\u306f 0.10 \u304c\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u8907\u6570\u306e\u4eee\u8aac\u691c\u5b9a\u3092\u4e00\u5ea6\u306b\u5b9f\u884c\u3059\u308b\u3068\u3001\u507d\u967d\u6027\u304c\u767a\u751f\u3059\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n

\u305f\u3068\u3048\u3070\u300120 \u9762\u4f53\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u60f3\u50cf\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u30b5\u30a4\u30b3\u30ed\u304c\u300c1\u300d\u306e\u76ee\u306b\u51fa\u308b\u78ba\u7387\u306f\u308f\u305a\u304b 5% \u3067\u3059\u3002\u3057\u304b\u3057\u3001\u4e00\u5ea6\u306b 2 \u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u3001\u305d\u306e\u3046\u3061\u306e 1 \u3064\u304c\u300c1\u300d\u306b\u306a\u308b\u78ba\u7387\u306f 9.75% \u306b\u5897\u52a0\u3057\u307e\u3059\u3002\u4e00\u5ea6\u306b 5 \u3064\u306e\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u3068\u3001\u78ba\u7387\u306f 22.6% \u306b\u5897\u52a0\u3057\u307e\u3059\u3002<\/span><\/p>\n

\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u308b\u307b\u3069\u3001\u30b5\u30a4\u30b3\u30ed\u306e 1 \u3064\u304c\u300c1\u300d\u306b\u306a\u308b\u78ba\u7387\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3092\u4f7f\u7528\u3057\u3066\u8907\u6570\u306e\u4eee\u8aac\u691c\u5b9a\u3092\u4e00\u5ea6\u306b\u5b9f\u884c\u3059\u308b\u3068\u3001\u507d\u967d\u6027\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u306f\u308f\u305a\u304b 0.05 \u3092\u8d85\u3048\u3066\u5897\u52a0\u3057\u307e\u3059\u3002<\/span><\/p>\n

ANOVA \u3067\u306e\u591a\u91cd\u6bd4\u8f03<\/strong><\/span><\/h2>\n

ANOVA \u3092\u5b9f\u884c\u3059\u308b\u3068\u304d\u3001\u591a\u304f\u306e\u5834\u5408\u30013 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u9593\u306e\u5dee\u7570\u3092\u8abf\u67fb\u3059\u308b\u305f\u3081\u306b\u4e8b\u5f8c\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u3068\u304d\u306f\u3001\u8907\u6570\u306e\u30da\u30a2\u3054\u3068\u306e<\/strong>\u6bd4\u8f03\u3092\u8abf\u67fb\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n

\u305f\u3068\u3048\u3070\u3001A\u3001B\u3001C\u3001D \u306e 4 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3067\u8abf\u3079\u308b\u5fc5\u8981\u304c\u3042\u308b\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u304c\u5408\u8a08 6 \u3064\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n

A \u2013 B (\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u3068\u30b0\u30eb\u30fc\u30d7 B \u306e\u5e73\u5747\u306e\u5dee)<\/span>
\u4ea4\u6d41<\/span>
\u767a\u8868<\/span>
\u7d00\u5143\u524d<\/span>
\u6f2b\u753b<\/span>
CD<\/span><\/p>\n

\u30b0\u30eb\u30fc\u30d7\u304c 4 \u3064\u4ee5\u4e0a\u3042\u308b\u5834\u5408\u3001\u5b9f\u884c\u3059\u308b\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e\u6570\u306f\u3055\u3089\u306b\u5897\u52a0\u3059\u308b\u3060\u3051\u3067\u3059\u3002\u6b21\u306e\u8868\u306f\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u6570\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e\u6570\u3068\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u8aa4\u308a\u7387\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n

\u30b0\u30eb\u30fc\u30d7\u6570 (\u3064\u307e\u308a\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e\u6570) \u304c\u5897\u52a0\u3059\u308b\u306b\u3064\u308c\u3066\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387\u304c\u6025\u901f\u306b\u5897\u52a0\u3059\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u5b9f\u969b\u3001\u30b0\u30eb\u30fc\u30d7\u304c 6 \u3064\u306b\u9054\u3059\u308b\u3068\u3001\u507d\u967d\u6027\u3068\u306a\u308b\u78ba\u7387\u306f\u5b9f\u969b\u306b\u306f 50% \u4ee5\u4e0a\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n

\u3053\u308c\u306f\u3001\u5bb6\u65cf\u3054\u3068\u306e\u8aa4\u308a\u7387\u304c\u975e\u5e38\u306b\u9ad8\u3044\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u3066\u3001\u975e\u5e38\u306b\u591a\u304f\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u3001\u7d50\u679c\u306b\u91cd\u5927\u306a\u7591\u554f\u304c\u751f\u3058\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n

\u5e78\u3044\u306a\u3053\u3068\u306b\u3001\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306b\u30a8\u30e9\u30fc\u7387\u3092\u5236\u5fa1\u3057\u306a\u304c\u3089\u3001\u30b0\u30eb\u30fc\u30d7\u9593\u3067\u8907\u6570\u306e\u6bd4\u8f03\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u4f8b:\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3057\u305f\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790<\/strong><\/span><\/h2>\n

\u6b21\u306e\u4f8b\u306f\u3001\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3067\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790<\/a>\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n

\u6ce8:<\/strong>\u3053\u306e\u4f8b\u3067\u306f R \u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u30c6\u30b9\u30c8\u7d50\u679c\u3084\u91cd\u8981\u306a\u30dd\u30a4\u30f3\u30c8\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b R \u306e\u77e5\u8b58\u306f\u5fc5\u8981\u3042\u308a\u307e\u305b\u3093\u3002<\/em><\/span><\/p>\n

\u307e\u305a\u3001\u30b0\u30eb\u30fc\u30d7\u3054\u3068\u306b 20 \u500b\u306e\u89b3\u6e2c\u5024\u3092\u6301\u3064 4 \u3064\u306e\u30b0\u30eb\u30fc\u30d7 (A\u3001B\u3001C\u3001D) \u3092\u542b\u3080\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n

 #make this example reproducible\nset.seed(1)<\/span>\n\n#load tidyr<\/em> library to convert data from wide to long format<\/span>\nlibrary(tidyr)\n\n#create wide dataset\n<\/span>data <- data.frame(A = runif(20, 2, 5),\n                   B = runif(20, 3, 5),\n                   C = runif(20, 3, 6),\n                   D = runif(20, 4, 6))\n\n#convert to long dataset for ANOVA\n<\/span>data_long <- gather(data, key = \"group\", value = \"amount\", A, B, C, D)\n\n#view first six lines of dataset\n<\/span>head(data_long)\n\n# group amount\n#1 To 2.796526\n#2 A 3.116372\n#3 A 3.718560\n#4 A 4.724623\n#5 A 2.605046\n#6 A 4.695169\n<\/strong><\/pre>\n
\u6b21\u306b\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span><\/p>\n
 #fit anova model\n<\/span>anova_model <- aov(amount ~ group, data = data_long)\n\n#view summary of anova model\n<\/span>summary(anova_model)\n\n# Df Sum Sq Mean Sq F value Pr(>F)    \n#group 3 25.37 8.458 17.66 8.53e-09 ***\n#Residuals 76 36.39 0.479            \n<\/strong><\/pre>\n
 ANOVA \u30c6\u30fc\u30d6\u30eb\u306e\u7d50\u679c\u304b\u3089\u3001F \u7d71\u8a08\u91cf\u304c 17.66 \u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u304c\u975e\u5e38\u306b\u5c0f\u3055\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n
\u3053\u308c\u306f\u3001\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u304c\u7b49\u3057\u3044\u3068\u3044\u3046\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3059\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u4e8b\u5f8c\u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u3001\u3069\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u304c\u4e92\u3044\u306b\u7570\u306a\u308b\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n
\u6b21\u306e\u4e8b\u5f8c\u30c6\u30b9\u30c8\u306e\u4f8b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/span><\/p>\n
 Tukey \u30c6\u30b9\u30c8<\/strong>\u2013 \u53ef\u80fd\u306a\u3059\u3079\u3066\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u884c\u3046\u5834\u5408\u306b\u4fbf\u5229\u3067\u3059<\/span><\/p>\n
Holm \u306e\u65b9\u6cd5<\/strong>\u2013 Tukey \u30c6\u30b9\u30c8\u3088\u308a\u3082\u308f\u305a\u304b\u306b\u4fdd\u5b88\u7684\u306a\u30c6\u30b9\u30c8<\/span><\/p>\n
\u30c0\u30cd\u30c3\u30c8\u88dc\u6b63<\/strong><\/a>\u2013 \u5404\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u5bfe\u7167\u5e73\u5747\u3068\u6bd4\u8f03\u3057\u3001\u6cbb\u7642\u5e73\u5747\u3092\u76f8\u4e92\u306b\u6bd4\u8f03\u3057\u305f\u304f\u306a\u3044\u5834\u5408\u306b\u4fbf\u5229\u3067\u3059\u3002<\/span><\/p>\n
\u30c6\u30e5\u30fc\u30ad\u30fc\u30c6\u30b9\u30c8<\/strong><\/span><\/h2>\n
\u6b21\u306e\u3088\u3046\u306b\u3001\u7d44\u307f\u8fbc\u307f R \u95a2\u6570TukeyHSD()<\/strong>\u3092\u4f7f\u7528\u3057\u3066\u3001\u591a\u91cd\u6bd4\u8f03\u306e Tukey \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n
 #perform Tukey's Test for multiple comparisons\n<\/span>TukeyHSD(anova_model, conf.level=.95) \n\n#Tukey multiple comparisons of means\n# 95% family-wise confidence level\n#\n#Fit: aov(formula = amount ~ group, data = data_long)\n#\n#$group\n# diff lwr upr p adj\n#BA 0.2822630 -0.292540425 0.8570664 0.5721402\n#CA 0.8561388 0.281335427 1.4309423 0.0011117\n#DA 1.4676027 0.892799258 2.0424061 0.0000000\n#CB 0.5738759 -0.000927561 1.1486793 0.0505270\n#DB 1.1853397 0.610536271 1.7601431 0.0000041\n#DC 0.6114638 0.036660419 1.1862672 0.0326371\n<\/strong><\/pre>\n
\u4fe1\u983c\u6c34\u6e96\u3092 95% \u3068\u6307\u5b9a\u3057\u305f\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u308c\u306f\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387\u3092 0.05 \u306b\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 R \u306f\u3001\u5404\u30da\u30a2\u3054\u3068\u306e\u9055\u3044\u3092\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306e 2 \u3064\u306e\u30e1\u30c8\u30ea\u30af\u30b9\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/span><\/p>\n
    \n
  • \u5e73\u5747\u5dee\u306e\u4fe1\u983c\u533a\u9593 ( lwr<\/em>\u3068upr<\/em>\u306e\u5024\u306b\u3088\u3063\u3066\u4e0e\u3048\u3089\u308c\u307e\u3059)<\/span><\/li>\n
  • \u5e73\u5747\u5dee\u3092\u8abf\u6574\u3057\u305fp\u5024<\/span><\/li>\n<\/ul>\n
    \u4fe1\u983c\u533a\u9593\u3068 p \u5024\u306f\u540c\u3058\u7d50\u8ad6\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002<\/span><\/p>\n
    \u305f\u3068\u3048\u3070\u3001\u30b0\u30eb\u30fc\u30d7 C \u3068\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u5dee\u306e 95% \u4fe1\u983c\u533a\u9593\u306f (0.2813, 1.4309) \u3067\u3001\u3053\u306e\u533a\u9593\u306b\u306f\u30bc\u30ed\u304c\u542b\u307e\u308c\u306a\u3044\u305f\u3081\u3001\u3053\u308c\u3089 2 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u306e\u5dee\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u7279\u306b\u3001\u4fe1\u983c\u533a\u9593\u306e\u4e0b\u9650\u304c\u30bc\u30ed\u3088\u308a\u5927\u304d\u3044\u305f\u3081\u3001\u5dee\u304c\u6b63\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n
    \u540c\u69d8\u306b\u3001\u30b0\u30eb\u30fc\u30d7 C \u3068\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u5dee\u306e p \u5024\u306f 0.0011 \u3067\u3001\u6709\u610f\u6c34\u6e96\u306e 0.05 \u3088\u308a\u3082\u4f4e\u304f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306e\u5dee\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3053\u3068\u3082\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n
     R \u306eLot()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001Tukey \u691c\u5b9a\u306e\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b 95% \u4fe1\u983c\u533a\u9593\u3092\u8996\u899a\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n
     plot(TukeyHSD(anova_model, conf.level=.95))\n<\/strong><\/pre>\n
    \u533a\u9593\u306b\u30bc\u30ed\u304c\u542b\u307e\u308c\u308b\u5834\u5408\u3001\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u9593\u306e\u5dee\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306f\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u4e0a\u306e\u4f8b\u3067\u306f\u3001BA \u3068 CB \u306e\u5dee\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u4ed6\u306e 4 \u3064\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e\u5dee\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3059\u3002<\/span><\/p>\n
    \u30db\u30eb\u30e0\u306e\u65b9\u6cd5<\/strong><\/span><\/h2>\n
    \u5b9f\u884c\u3067\u304d\u308b\u3082\u3046 1 \u3064\u306e\u4e8b\u5f8c\u30c6\u30b9\u30c8\u306f\u3001\u30db\u30eb\u30e0\u306e\u65b9\u6cd5\u3067\u3059\u3002\u3053\u306e\u30c6\u30b9\u30c8\u306f\u4e00\u822c\u306b\u3001Tukey \u30c6\u30b9\u30c8\u3088\u308a\u3082\u4fdd\u5b88\u7684\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n
     R \u3067\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u8907\u6570\u306e\u30da\u30a2\u6bd4\u8f03\u306e\u30db\u30eb\u30e0\u6cd5\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n
     #perform holm's method for multiple comparisons<\/span>\npairwise.t.test(data_long$amount, data_long$group, p.adjust=\"holm\") \n# Pairwise comparisons using t tests with pooled SD \n#\n#data: data_long$amount and data_long$group \n#\n#ABC\n#B 0.20099 - -      \n#C 0.00079 0.02108 -      \n#D 1.9e-08 3.4e-06 0.01974\n#\n#P value adjustment method: holm<\/strong><\/pre>\n
    \u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u5404\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e p \u5024\u306e\u30b0\u30ea\u30c3\u30c9\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30b0\u30eb\u30fc\u30d7 A \u3068\u30b0\u30eb\u30fc\u30d7 B \u306e\u5e73\u5747\u306e\u5dee\u306e p \u5024\u306f 0.20099 \u3067\u3059\u3002<\/span><\/p>\n
    \u3053\u306e\u691c\u5b9a\u306e p \u5024\u3092 Tukey \u306e\u691c\u5b9a\u306e p \u5024\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001\u30b0\u30eb\u30fc\u30d7 C \u3068 D \u306e\u9055\u3044\u3092\u9664\u3044\u3066\u3001\u305d\u308c\u305e\u308c\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3067\u540c\u3058\u7d50\u8ad6\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u5dee\u306e\u5024\u306f\u3001\u30db\u30eb\u30e0\u6cd5\u3067\u306f 0.02108 \u3067\u3042\u3063\u305f\u306e\u306b\u5bfe\u3057\u3001\u30c6\u30e5\u30fc\u30ad\u30fc\u691c\u5b9a\u3067\u306f 0.0505 \u3067\u3057\u305f\u3002<\/span><\/p>\n
    \u3057\u305f\u304c\u3063\u3066\u3001Tukey \u306e\u691c\u5b9a\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30b0\u30eb\u30fc\u30d7 C \u3068\u30b0\u30eb\u30fc\u30d7 D \u306e\u9593\u306e\u5dee\u306f 0.05 \u306e\u6709\u610f\u6c34\u6e96\u3067\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306f\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u304c\u3001\u30db\u30eb\u30e0\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30b0\u30eb\u30fc\u30d7 C \u3068\u30b0\u30eb\u30fc\u30d7 D \u306e\u9593\u306e\u5dee\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b<\/em>\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002<\/span><\/p>\n
    \u4e00\u822c\u306b\u3001\u30db\u30eb\u30e0\u6cd5\u3067\u751f\u6210\u3055\u308c\u305f p \u5024\u306f\u3001\u30c6\u30e5\u30fc\u30ad\u30fc\u691c\u5b9a\u3067\u751f\u6210\u3055\u308c\u305f p \u5024\u3088\u308a\u3082\u4f4e\u304f\u306a\u308b\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n
    \u30c0\u30cd\u30c3\u30c8\u306e\u8a02\u6b63<\/strong><\/span><\/h2>\n
    \u591a\u91cd\u6bd4\u8f03\u306b\u4f7f\u7528\u3067\u304d\u308b\u3082\u3046 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001Dunett \u88dc\u6b63\u3067\u3059\u3002\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u5bfe\u7167\u5e73\u5747\u3068\u6bd4\u8f03\u3057\u305f\u3044\u304c\u3001\u6cbb\u7642\u5e73\u5747\u3092\u76f8\u4e92\u306b\u6bd4\u8f03\u3057\u305f\u304f\u306a\u3044\u5834\u5408\u306b\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n
    \u305f\u3068\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001B\u3001C\u3001D \u306e\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u3092\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u3068\u6bd4\u8f03\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b0\u30eb\u30fc\u30d7 A \u3092\u5bfe\u7167\u30b0\u30eb\u30fc\u30d7\u3068\u3057\u3066\u4f7f\u7528\u3057\u3001\u30b0\u30eb\u30fc\u30d7 B\u3001C \u9593\u306e\u5dee\u306b\u306f\u95a2\u5fc3\u304c\u3042\u308a\u307e\u305b\u3093\u3002 .\u3001D.<\/span><\/p>\n
     #load multcomp library necessary for using Dunnett's Correction<\/span>\nlibrary(multicomp)\n\n#convert group variable to factor \n<\/span>data_long$group <- as.factor(data_long$group)\n\n#fit anova model\n<\/span>anova_model <- aov(amount ~ group, data = data_long)\n\n#performcomparisons\n<\/span>dunnet_comparison <- glht(anova_model, linfct = mcp(group = \"Dunnett\"))\n\n#view summary of comparisons\n<\/span>summary(dunnet_comparison)\n\n#Multiple Comparisons of Means: Dunnett Contrasts\n#\n#Fit: aov(formula = amount ~ group, data = data_long)\n#\n#Linear Assumptions:\n#Estimate Std. Error t value Pr(>|t|)    \n#B - A == 0 0.2823 0.2188 1.290 0.432445    \n#C - A == 0 0.8561 0.2188 3.912 0.000545 ***\n#D - A == 0 1.4676 0.2188 6.707 < 1e-04 ***<\/strong><\/pre>\n
    \u51fa\u529b\u306e p \u5024\u304b\u3089\u3001\u6b21\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n
      \n
    • \u30b0\u30eb\u30fc\u30d7 B \u306e\u5e73\u5747\u3068\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u306e\u5dee\u306f\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3067\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306f\u3042\u308a\u307e\u305b\u3093<\/em>\u3002\u3053\u306e\u691c\u5b9a\u306e p \u5024\u306f0.4324<\/strong>\u3067\u3059\u3002<\/span><\/li>\n
    • \u30b0\u30eb\u30fc\u30d7 C \u3068\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u306e\u5dee\u306f\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3067\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3059<\/em>\u3002\u3053\u306e\u691c\u5b9a\u306e p \u5024\u306f0.0005<\/strong>\u3067\u3059\u3002<\/span><\/li>\n
    • \u30b0\u30eb\u30fc\u30d7 D \u3068\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u306e\u5dee\u306f\u3001\u6709\u610f\u6c34\u6e96 0.05 \u3067\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3059<\/em>\u3002\u3053\u306e\u691c\u5b9a\u306e p \u5024\u306f0.00004<\/strong>\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n
      \u524d\u8ff0\u3057\u305f\u3088\u3046\u306b\u3001\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u306f\u30b0\u30eb\u30fc\u30d7 A \u3092\u300c\u5bfe\u7167\u300d\u30b0\u30eb\u30fc\u30d7\u3068\u3057\u3066\u6271\u3044\u3001\u4ed6\u306e\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u30b0\u30eb\u30fc\u30d7 A \u306e\u5e73\u5747\u3068\u5358\u7d14\u306b\u6bd4\u8f03\u3057\u307e\u3059\u3002\u30b0\u30eb\u30fc\u30d7 B\u3001C\u3001\u304a\u3088\u3073 D \u9593\u306e\u5dee\u7570\u306b\u3064\u3044\u3066\u691c\u5b9a\u306f\u5b9f\u884c\u3055\u308c\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305d\u308c\u306f\u3057\u307e\u305b\u3093\u3002\u79c1\u306f\u3053\u308c\u3089\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u9055\u3044\u306b\u306f\u8208\u5473\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n
      \u4e8b\u5f8c\u30c6\u30b9\u30c8\u3068\u7d71\u8a08\u7684\u691c\u51fa\u529b\u306b\u95a2\u3059\u308b\u30e1\u30e2<\/span><\/strong><\/h2>\n
      \u4e8b\u5f8c\u30c6\u30b9\u30c8\u306f\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387\u3092\u5236\u5fa1\u3059\u308b\u3068\u3044\u3046\u512a\u308c\u305f\u6a5f\u80fd\u3092\u679c\u305f\u3057\u307e\u3059\u304c\u3001\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u3068\u3057\u3066\u3001\u6bd4\u8f03\u306e\u7d71\u8a08\u7684\u691c\u51fa\u529b\u304c\u4f4e\u4e0b\u3057\u307e\u3059\u3002\u5b9f\u969b\u3001\u5bb6\u65cf\u3054\u3068\u306e\u8aa4\u308a\u7387\u3092\u4e0b\u3052\u308b\u552f\u4e00\u306e\u65b9\u6cd5\u306f\u3001\u3059\u3079\u3066\u306e\u500b\u5225\u306e\u6bd4\u8f03\u3067\u3088\u308a\u4f4e\u3044\u6709\u610f\u6c34\u6e96\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n
      \u305f\u3068\u3048\u3070\u30016 \u3064\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306b Tukey \u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3001\u5bb6\u65cf\u3054\u3068\u306e\u8aa4\u5dee\u7387\u3092 0.05 \u306b\u7dad\u6301\u3057\u305f\u3044\u5834\u5408\u3001\u500b\u3005\u306e\u6709\u610f\u6c34\u6e96\u3054\u3068\u306b\u7d04 0.011 \u306e\u6709\u610f\u6c34\u6e96\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u884c\u3046\u307b\u3069\u3001\u500b\u3005\u306e\u6709\u610f\u6c34\u6e96\u306b\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u6709\u610f\u6c34\u6e96\u306f\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n
      \u554f\u984c\u306f\u3001\u6709\u610f\u6c34\u6e96\u304c\u4f4e\u3044\u307b\u3069\u7d71\u8a08\u691c\u51fa\u529b\u304c\u4f4e\u3044\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u9593\u306e\u5dee\u304c\u6bcd\u96c6\u56e3\u306b\u5b9f\u969b\u306b\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u691c\u51fa\u529b\u306e\u4f4e\u3044\u7814\u7a76\u3067\u306f\u305d\u308c\u3092\u691c\u51fa\u3059\u308b\u53ef\u80fd\u6027\u304c\u4f4e\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n
      \u3053\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u306e\u5f71\u97ff\u3092\u8efd\u6e1b\u3059\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u5358\u306b\u5b9f\u884c\u3059\u308b\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u306e\u6570\u3092\u6e1b\u3089\u3059\u3053\u3068\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u524d\u306e\u4f8b\u3067\u306f\u30014 \u3064\u306e\u7570\u306a\u308b\u30b0\u30eb\u30fc\u30d7\u306b\u5bfe\u3057\u3066 6 \u3064\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u5b9f\u884c\u3057\u307e\u3057\u305f\u3002\u305f\u3060\u3057\u3001\u7814\u7a76\u306e\u30cb\u30fc\u30ba\u306b\u3088\u3063\u3066\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u6bd4\u8f03\u306e\u307f\u3092\u884c\u3046\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n
      \u6bd4\u8f03\u306e\u56de\u6570\u3092\u6e1b\u3089\u3059\u3053\u3068\u3067\u3001\u7d71\u8a08\u7684\u691c\u51fa\u529b\u3092\u305d\u308c\u307b\u3069\u4f4e\u4e0b\u3055\u305b\u308b\u5fc5\u8981\u304c\u306a\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n
       ANOVA \u3092\u5b9f\u884c\u3059\u308b\u524d\u306b\u3001<\/em>\u3069\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u6bd4\u8f03\u3059\u308b\u304b\u3001\u307e\u305f\u3069\u306e\u4e8b\u5f8c\u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u6bd4\u8f03\u3092\u884c\u3046\u304b\u3092\u6b63\u78ba\u306b\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002\u305d\u3046\u3057\u306a\u3044\u3068\u3001\u3069\u306e\u4e8b\u5f8c\u30c6\u30b9\u30c8\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u7d50\u679c\u3092\u3082\u305f\u3089\u3057\u305f\u304b\u3092\u5358\u306b\u78ba\u8a8d\u3059\u308b\u3060\u3051\u3067\u306f\u3001\u7814\u7a76\u306e\u5b8c\u5168\u6027\u304c\u4f4e\u4e0b\u3057\u307e\u3059\u3002<\/span><\/p>\n
      \u7d50\u8ad6<\/strong><\/span><\/h2>\n
      \u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6b21\u306e\u3053\u3068\u3092\u5b66\u3073\u307e\u3057\u305f\u3002<\/span><\/p>\n
        \n
      •  ANOVA \u306f\u30013 \u3064\u4ee5\u4e0a\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n
      •  ANOVA \u3067\u6709\u610f\u6c34\u6e96\u3092\u4e0b\u56de\u308b p \u5024\u304c\u751f\u6210\u3055\u308c\u305f\u5834\u5408\u306f\u3001\u4e8b\u5f8c\u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u3001\u3069\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u304c\u4e92\u3044\u306b\u7570\u306a\u3063\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n
      • \u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3044\u304f\u3064\u304b\u306e\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u5b9f\u884c\u3057\u306a\u304c\u3089\u3001\u30d5\u30a1\u30df\u30ea\u30fc\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387\u3092\u5236\u5fa1\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n
      • \u30d5\u30a1\u30df\u30ea\u3054\u3068\u306e\u30a8\u30e9\u30fc\u7387\u3092\u5236\u5fa1\u3059\u308b\u3053\u3068\u306e\u30c8\u30ec\u30fc\u30c9\u30aa\u30d5\u3068\u3057\u3066\u3001\u7d71\u8a08\u7684\u691c\u51fa\u529b\u304c\u4f4e\u4e0b\u3057\u307e\u3059\u3002\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u5c11\u306a\u304f\u3059\u308b\u3053\u3068\u3067\u3001\u7d71\u8a08\u7684\u691c\u51fa\u529b\u304c\u4f4e\u3044\u3053\u3068\u306b\u3088\u308b\u5f71\u97ff\u3092\u8efd\u6e1b\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n
      • \u307e\u305a\u3001\u30da\u30a2\u3054\u3068\u306e\u6bd4\u8f03\u3092\u5b9f\u884c\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u3068\u3001\u305d\u306e\u305f\u3081\u306b\u4f7f\u7528\u3059\u308b\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"
        ANOVA\u306f\u30013 \u3064\u4ee5\u4e0a\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u691c\u5b9a\u3067\u3059\u3002 ANOVA \u3067\u4f7f\u7528\u3055\u308c\u308b\u4eee\u5b9a\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u5e30\u7121\u4eee\u8aac (H 0 ): \u00b5 1 = \u00b5 2 = […]<\/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-480","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"\nANOVA \u3067\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u305f\u3081\u306e\u30ac\u30a4\u30c9 - \u7d71\u8a08<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001ANOVA \u306b\u3088\u308b\u4e8b\u5f8c\u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u3001\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u9593\u306e\u5dee\u7570\u3092\u691c\u5b9a\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\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 rel=\"canonical\" href=\"https:\/\/statorials.org\/ja\/\u4e8b\u5f8c\u5206\u6563\u5206\u6790\u30c6\u30b9\u30c8\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA \u3067\u4e8b\u5f8c\u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u305f\u3081\u306e\u30ac\u30a4\u30c9 - 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