{"id":514,"date":"2018-08-16T22:13:49","date_gmt":"2018-08-16T13:13:49","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/multiple-comparison-by-using-non-parametric-test\/"},"modified":"2024-10-13T19:22:41","modified_gmt":"2024-10-13T10:22:41","slug":"multiple-comparison-by-using-non-parametric-test","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/multiple-comparison-by-using-non-parametric-test\/","title":{"rendered":"R \u3067\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u691c\u5b9a\u306e\u591a\u91cd\u6bd4\u8f03\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n

\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u306e\u591a\u91cd\u6bd4\u8f03\u3092R\u3067\u5b9f\u65bd\u3059\u308b\u65b9\u6cd5\u3002<\/p>\n\n\n\n\n\n\n\n

\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3068\u306f\u4f55\u304b\uff1f<\/h2>\n\n\n\n

\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3068\u306f\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3067\u306f\u306a\u3044\u3068\u3044\u3046\u610f\u5473\u3002<\/p>\n\n\n\n

\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u3068\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u3046\u3068\u3044\u3046\u610f\u5473\u3060\u3002<\/p>\n\n\n\n

\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3068\u306f\u3001\u65e5\u672c\u8a9e\u3067\u306f\u6bcd\u6570\uff08\u307c\u3059\u3046\uff09\u3068\u8a00\u308f\u308c\u3066\u3001\u6bcd\u96c6\u56e3\u3092\u8868\u3059\u6570\u5024\u3001\u4f8b\u3048\u3070\u6bcd\u5e73\u5747\u3001\u6bcd\u5206\u6563\u306a\u3069\u3092\u6307\u3059\u3002<\/p>\n\n\n\n

\u305f\u3068\u3048\u3070Tukey\u691c\u5b9a\u3084Dunnett\u691c\u5b9a\u306f\u3001\u6bcd\u5e73\u5747\u3001\u6bcd\u5206\u6563\u306e\u524d\u63d0\u306e\u4e0b\u3001\u5b9f\u65bd\u3055\u308c\u308b\u591a\u91cd\u6bd4\u8f03\u691c\u5b9a\u3060\u3002<\/p>\n\n\n

\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\tR \u3067\u30c1\u30e5\u30fc\u30ad\u30fc\u691c\u5b9a\u3092\u884c\u3046\u65b9\u6cd5<\/a>\n\t\t\t\t\t\tTukey HSD\u691c\u5b9a\u3092R\u3067\u884c\u3046\u65b9\u6cd5\u306e\u89e3\u8aac\u3002 Tukey HSD\u691c\u5b9a\u3092R\u3067\u884c\u3046\u65b9\u6cd5 aov()\u3068TukeyHSD()\u3068\u3044\u3046\u4e8c\u3064\u306e\u95a2\u6570\u3092\u4f7f\u3046\u3002 \u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u306e\u3068\u304d\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u4f8b\u3068\u3057\u3066warpbreaks\u3068…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n
\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\tR \u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u884c\u3046\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u306f\u3001\u6bd4\u8f03\u5bfe\u7167\u7fa4\u3068\u3044\u304f\u3064\u304b\u306e\u5b9f\u9a13\u7fa4\u3092\u591a\u91cd\u6bd4\u8f03\u3059\u308b\u65b9\u6cd5\u3002 R\u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u3059\u308b\u306b\u306f\u3069\u3046\u3057\u305f\u3089\u3088\u3044\u304b\uff1f R\u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u3059\u308b\u306b\u306f\uff1f \u307e\u305amultcomp\u30d1\u30c3\u30b1\u30fc…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n

\u307e\u305f\u3001Welch\u306e\u65b9\u6cd5\u3067\u4e8c\u7fa4\u6bd4\u8f03\u3092\u7e70\u308a\u8fd4\u3057\u3066\u3001Bonferroni\u578b\u306ep\u5024\u8abf\u6574\u3092\u884c\u3046\u591a\u91cd\u6bd4\u8f03\u3082\u3001Welch\u306e\u65b9\u6cd5\u304c\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u306a\u306e\u3067\u3001\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u691c\u5b9a\u3060\u3002<\/p>\n\n\n

\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\tR \u3067\u30dc\u30f3\u30d5\u30a7\u30ed\u30fc\u30cb\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t\u691c\u8a3c\u8a66\u9a13\u306b\u304a\u3044\u3066\u3001\u4e09\u7fa4\u4ee5\u4e0a\u306e\u5e73\u5747\u5024\u3092\u6bd4\u8f03\u3057\u305f\u3044\u3068\u304d\u306b\u3001\u5358\u7d14\u306b\u4e8c\u7fa4\u6bd4\u8f03\u3092\u7e70\u308a\u8fd4\u3059\u3068\u6709\u610f\u6c34\u6e96\u304c\u7518\u304f\u306a\u308b\u3002 \u6709\u610f\u6c34\u6e96\u306e\u8abf\u6574\u306b\u3088\u3063\u3066\u7c21\u5358\u306b\u51e6\u7406\u3059\u308b\u65b9\u6cd5\u304c\u30dc\u30f3\u30d5\u30a7\u30ed\u30fc\u30cb…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n\n\n\n\n

\u6bcd\u5e73\u5747\u3001\u6bcd\u5206\u6563\u304c\u524d\u63d0\u3067\u306f\u306a\u3044\u65b9\u6cd5\u304c\u3001\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u691c\u5b9a\u3060\u3002<\/p>\n\n\n\n

\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u306e\u591a\u91cd\u6bd4\u8f03\u3068\u306f\uff1f<\/h2>\n\n\n\n

\u4e00\u822c\u7684\u306a\u65b9\u6cd5<\/h3>\n\n\n\n

\u4e8c\u7fa4\u306e\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u691c\u5b9a\u306e\u4ee3\u8868\u683c\u306f\u3001Wilcoxon \u30a6\u30a3\u30eb\u30b3\u30af\u30bd\u30f3\u9806\u4f4d\u548c\u691c\u5b9a\u3060\u3002<\/p>\n\n\n\n

Mann-Whitney \u30de\u30f3\u30fb\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306eU\u691c\u5b9a\u3068\u3082\u8a00\u3046\u3002<\/p>\n\n\n\n

\u591a\u91cd\u6bd4\u8f03\u306f\u4e8c\u7fa4\u6bd4\u8f03\u3092\u7e70\u308a\u8fd4\u3057\u3001Bonferroni\u578b\u306ep\u5024\u8abf\u6574\u3092\u884c\u3046\u3002<\/p>\n\n\n\n

Bonferroni\u578b\u306ep\u5024\u8abf\u6574\u3068\u306f\uff1f<\/h4>\n\n\n
\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\tR \u3067\u30dc\u30f3\u30d5\u30a7\u30ed\u30fc\u30cb\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t\u691c\u8a3c\u8a66\u9a13\u306b\u304a\u3044\u3066\u3001\u4e09\u7fa4\u4ee5\u4e0a\u306e\u5e73\u5747\u5024\u3092\u6bd4\u8f03\u3057\u305f\u3044\u3068\u304d\u306b\u3001\u5358\u7d14\u306b\u4e8c\u7fa4\u6bd4\u8f03\u3092\u7e70\u308a\u8fd4\u3059\u3068\u6709\u610f\u6c34\u6e96\u304c\u7518\u304f\u306a\u308b\u3002 \u6709\u610f\u6c34\u6e96\u306e\u8abf\u6574\u306b\u3088\u3063\u3066\u7c21\u5358\u306b\u51e6\u7406\u3059\u308b\u65b9\u6cd5\u304c\u30dc\u30f3\u30d5\u30a7\u30ed\u30fc\u30cb…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n

R\u306b\u306f\u3001pairwise.wilcox.test()\u3068\u3044\u3046\u95a2\u6570\u304c\u6e96\u5099\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n

\u305f\u3068\u3048\u3070\u3001warpbreaks\u3068\u3044\u3046\u30c7\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u3001tension\u306e\u9ad8\u3055\u306b\u3088\u3063\u3066breaks\u306e\u6570\u306b\u9055\u3044\u304c\u3042\u308b\u304b\u691c\u5b9a\u3092\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n

warpbreaks\u306e\u8aac\u660e\u306f\u4ee5\u4e0b\u306e\u8a18\u4e8b\u53c2\u7167\uff08\u6587\u4e2d\u306b\u7c21\u5358\u306a\u8aac\u660e\u3042\u308a\uff09<\/p>\n\n\n

\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\tR \u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u884c\u3046\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u306f\u3001\u6bd4\u8f03\u5bfe\u7167\u7fa4\u3068\u3044\u304f\u3064\u304b\u306e\u5b9f\u9a13\u7fa4\u3092\u591a\u91cd\u6bd4\u8f03\u3059\u308b\u65b9\u6cd5\u3002 R\u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u3059\u308b\u306b\u306f\u3069\u3046\u3057\u305f\u3089\u3088\u3044\u304b\uff1f R\u3067\u30c0\u30cd\u30c3\u30c8\u691c\u5b9a\u3092\u3059\u308b\u306b\u306f\uff1f \u307e\u305amultcomp\u30d1\u30c3\u30b1\u30fc…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n\n\n\n\n

Wilcoxon\u306e\u9806\u4f4d\u548c\u691c\u5b9a\u3092\u4e09\u56de\u7e70\u308a\u8fd4\u3057\u3001Holm\u306e\u65b9\u6cd5\u3067p\u5024\u3092\u8abf\u6574\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n

\u7d50\u679c\u306e\u6700\u5f8c\u306e\u30a8\u30e9\u30fc\u304c\u51fa\u3066\u3044\u308b\u3002<\/p>\n\n\n\n

\u540c\u9806\u4f4d\u304c\u3042\u3063\u3066\u6b63\u78ba\u306b\u8a08\u7b97\u3067\u304d\u3066\u3044\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3060\u3002<\/p>\n\n\n\n

\u540c\u9806\u4f4d\u304c\u3042\u308b\u5834\u5408\u306f\u6b63\u78ba\u78ba\u7387\u6cd5\u304c\u671b\u307e\u3057\u3044\u3002<\/p>\n\n\n\n

><\/span> with<\/span>(<\/span>warpbreaks,<\/span> (<\/span>pairwise.wilcox.test<\/span>(<\/span>breaks,<\/span> tension)))<\/span>\nPairwise comparisons using Wilcoxon rank sum test\ndata:<\/span>  breaks and tension\n  L      M\nM 0.1470<\/span> -<\/span>\nH 0.0052<\/span> 0.1470<\/span>\nP value adjustment method:<\/span> holm\nWarning messages:<\/span>\n1<\/span>:<\/span> In wilcox.test.default<\/span>(<\/span>xi,<\/span> xj,<\/span> paired =<\/span> paired,<\/span> ...)<\/span> :<\/span>\ncannot compute exact p-<\/span>value with ties\n2<\/span>:<\/span> In wilcox.test.default<\/span>(<\/span>xi,<\/span> xj,<\/span> paired =<\/span> paired,<\/span> ...)<\/span> :<\/span>\ncannot compute exact p-<\/span>value with ties\n3<\/span>:<\/span> In wilcox.test.default<\/span>(<\/span>xi,<\/span> xj,<\/span> paired =<\/span> paired,<\/span> ...)<\/span> :<\/span>\ncannot compute exact p-<\/span>value with ties\n<\/code><\/pre>\n\n\n\n
\u6b63\u78ba\u78ba\u7387\u3092\u7528\u3044\u305f\u65b9\u6cd5<\/h3>\n\n\n\n
\u540c\u9806\u4f4d\u304c\u3042\u308b\u5834\u5408\u306e\u4e0d\u6b63\u78ba\u3055\u3092\u4e57\u308a\u8d8a\u3048\u308b\u305f\u3081\u306b\u3001\u6b63\u78ba\u78ba\u7387\u691c\u5b9a Exact Test\u3092\u7528\u3044\u308b\u3002<\/p>\n\n\n\n
\u307e\u305f\u3001Exact Test\u306f\u3001\u7b49\u5206\u6563\u6027\u3092\u4eee\u5b9a\u3057\u306a\u304f\u3066\u3082\u3044\u3044\u306e\u3067\u9069\u5fdc\u7bc4\u56f2\u304c\u5e83\u304f\u3001\u305d\u306e\u70b9\u3067\u3082\u3088\u308a\u9069\u5207\u306a\u65b9\u6cd5\u3060\u3002<\/p>\n\n\n\n
Wilcoxon Exact Test\u306f\u3001coin\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u3001wilcox_test()\u3068\u3044\u3046\u95a2\u6570\u3067\u5b9f\u65bd\u3059\u308b\u3002<\/p>\n\n\n\n
\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u306f\u6700\u521d\u306e\u4e00\u56de\u3060\u3051\u3060\u3002<\/p>\n\n\n\n
install.packages<\/span>(<\/span>\"coin\"<\/span>)<\/span>\n<\/code><\/pre>\n\n\n\n
\u8ffd\u52a0\u3057\u305f\u30d1\u30c3\u30b1\u30fc\u30b8\u306f\u3001\u4f7f\u3046\u6642\u306b\u547c\u3073\u51fa\u3059\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n
library<\/span>(<\/span>coin)<\/span>\n<\/code><\/pre>\n\n\n\n
pairwise.wilcox.test()\u306e\u3088\u3046\u306b\u81ea\u52d5\u3067\u5168\u30da\u30a2\u3092\u8a08\u7b97\u3057\u3066\u304f\u308c\u306a\u3044\u306e\u3067\u3001\u624b\u52d5\u3067\u4e09\u56de\u691c\u5b9a\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n
warpbreaks\u304b\u3089\u3001tension\u306eH\u629c\u304d\u3001L\u629c\u304d\u3001M\u629c\u304d\u306e\u4e09\u3064\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u308a\u3001\u305d\u308c\u305e\u308cwilcox_coin()\u3067\u691c\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n
distribution=”exact”\u304c\u6b63\u78ba\u78ba\u7387\u691c\u5b9a\u306e\u6307\u5b9a\u3060\u3002<\/p>\n\n\n\n
\u7d50\u679c\u306f\u3001<\/p>\n\n\n\n
L\u3068H\uff1a p = 0.001147<\/p>\n\n\n\n
L\u3068M\uff1ap = 0.07194<\/p>\n\n\n\n
M\u3068H\uff1ap = 0.08857<\/p>\n\n\n\n
><\/span> warpbreaks.LM <-<\/span> subset<\/span>(<\/span>warpbreaks,<\/span> warpbreaks$<\/span>tension!=<\/span>\"H\"<\/span>)<\/span>\n><\/span> warpbreaks.MH <-<\/span> subset<\/span>(<\/span>warpbreaks,<\/span> warpbreaks$<\/span>tension!=<\/span>\"L\"<\/span>)<\/span>\n><\/span> warpbreaks.HL <-<\/span> subset<\/span>(<\/span>warpbreaks,<\/span> warpbreaks$<\/span>tension!=<\/span>\"M\"<\/span>)<\/span>\n><\/span> wilcox_test<\/span>(<\/span>breaks~<\/span>tension,<\/span> data=<\/span>warpbreaks.LM,<\/span> distribution=<\/span>\"exact\"<\/span>)<\/span>\nExact Wilcoxon-<\/span>Mann-<\/span>Whitney Test\ndata:<\/span>  breaks by tension <\/span>(<\/span>L,<\/span> M)<\/span>\nZ =<\/span> 1.8056<\/span>,<\/span> p-<\/span>value =<\/span> 0.07194<\/span>\nalternative hypothesis:<\/span> true mu is not equal to 0<\/span>\n><\/span> wilcox_test<\/span>(<\/span>breaks~<\/span>tension,<\/span> data=<\/span>warpbreaks.MH,<\/span> distribution=<\/span>\"exact\"<\/span>)<\/span>\nExact Wilcoxon-<\/span>Mann-<\/span>Whitney Test\ndata:<\/span>  breaks by tension <\/span>(<\/span>M,<\/span> H)<\/span>\nZ =<\/span> 1.7117<\/span>,<\/span> p-<\/span>value =<\/span> 0.08857<\/span>\nalternative hypothesis:<\/span> true mu is not equal to 0<\/span>\n><\/span> wilcox_test<\/span>(<\/span>breaks~<\/span>tension,<\/span> data=<\/span>warpbreaks.HL,<\/span> distribution=<\/span>\"exact\"<\/span>)<\/span>\nExact Wilcoxon-<\/span>Mann-<\/span>Whitney Test\ndata:<\/span>  breaks by tension <\/span>(<\/span>L,<\/span> H)<\/span>\nZ =<\/span> 3.1507<\/span>,<\/span> p-<\/span>value =<\/span> 0.001147<\/span>\nalternative hypothesis:<\/span> true mu is not equal to 0<\/span>\n<\/code><\/pre>\n\n\n\n
Holm\u3068Hochberg\u306e\u65b9\u6cd5\u3067\u8abf\u6574\u3059\u308b\u3068\uff1f<\/h3>\n\n\n\n
\u7d50\u8ad6\u3068\u3057\u3066\u3001L\u3068H\u3060\u3051\u304c\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u7570\u306a\u308b\u3068\u3044\u3046\u7d50\u679c\u3060\u3002<\/p>\n\n\n\n
\u4e0b\u8868\u306e\u9ec4\u8272\u30cf\u30a4\u30e9\u30a4\u30c8\u306e\u90e8\u5206\u3002<\/p>\n\n\n\n
Holm\u306e\u65b9\u6cd5<\/h4>\n\n\n\n
Holm\u306e\u65b9\u6cd5\u306f\u3001\u4e09\u3064\u306ep\u5024\u306e\u3046\u3061\u3082\u3063\u3068\u3082\u5c0f\u3055\u3044p\u5024\u304b\u3089\u30c1\u30a7\u30c3\u30af\u3057\u3066\u3044\u304f\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306e\u3088\u3046\u306b\u4e09\u30da\u30a2\u3042\u308b\u306a\u3089\u3001\u3082\u3063\u3068\u3082\u5c0f\u3055\u3044p\u5024\u30923\u500d\u3057\u30660.05\u3068\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n
0.05\u3088\u308a\u5c0f\u3055\u3044\u306e\u3067\u3001\u7b2c\u4e00\u6bb5\u968e\u7a81\u7834\uff01<\/p>\n\n\n\n
\u6b21\u306b\u5927\u304d\u3044L\u3068M\u306ep\u5024\u306e\u30c1\u30a7\u30c3\u30af\u306b\u79fb\u308b\u3002<\/p>\n\n\n\n
L\u3068M\u306ep\u5024\u306f2\u500d\u3057\u30660.05\u3068\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n
0.05\u3088\u308a\u5927\u304d\u304f\u3044\u306e\u3067\u3001\u3053\u3053\u3067\u30c1\u30a7\u30c3\u30af\u7d42\u4e86\u3002<\/p>\n\n\n\n
Holm\u306e\u65b9\u6cd5\u3067\u306f\u3001L\u3068H\u30da\u30a2\u306e\u307f\u7d71\u8a08\u5b66\u7684\u6709\u610f\u3002<\/p>\n\n\n\n
Hochberg\u306e\u65b9\u6cd5<\/h4>\n\n\n\n
Hochberg\u306e\u65b9\u6cd5\u306f\u3001\u3082\u3063\u3068\u3082\u5927\u304d\u3044p\u5024\u304b\u3089\u30c1\u30a7\u30c3\u30af\u958b\u59cb\u3002<\/p>\n\n\n\n
\u3082\u3063\u3068\u3082\u5927\u304d\u3044p\u5024\u30680.05\u3092\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n
0.05\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u6b21\u306b\u79fb\u308b\u3002<\/p>\n\n\n\n
\u6b21\u306b\u5927\u304d\u3044p\u5024\u30922\u500d\u3057\u30660.05\u3068\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n
\u3053\u308c\u30820.05\u3088\u308a\u5927\u304d\u3044\u306e\u3067\u3001\u3082\u3063\u3068\u3082\u5c0f\u3055\u3044p\u5024\u306b\u79fb\u308b\u3002<\/p>\n\n\n\n
\u3082\u3063\u3068\u3082\u5c0f\u3055\u3044p\u5024\u30923\u500d\u3057\u30660.05\u3068\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\n
\u3053\u308c\u306f0.05\u3088\u308a\u5c0f\u3055\u3044\u306e\u3067\u3001\u3053\u306e\u30da\u30a2\u306f\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u7570\u306a\u308b\u3068\u3044\u3048\u308b\u3002<\/p>\n\n\n\n
\u3082\u3057\u3001\u3082\u3063\u3068\u5c0f\u3055\u3044p\u5024\u306e\u30da\u30a2\u304c\u3042\u308b\u5834\u5408\u3001\u3082\u3063\u3068\u5c0f\u3055\u3044p\u5024\u306f\u30c1\u30a7\u30c3\u30af\u306a\u3057\u3067\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u306a\u308b\u3002<\/p>\n\n\n\n
\u3053\u308c\u304cHochberg\u306e\u65b9\u6cd5\u3060\u3002<\/p>\n\n\n\n
\u4eca\u56de\u306f\u3001\u7d50\u679c\u3068\u3057\u3066Holm\u3082Hochberg\u3082\u540c\u3058\u3060\u3063\u305f\u3002<\/p>\n\n\n\n
\u30da\u30a2<\/th>\u8abf\u6574\u306a\u3057<\/th>Holm<\/th>Hochberg<\/th><\/tr><\/thead>
L\u3068H<\/td>0.001147<\/td>(1) \\begin{array}{lcl} 0.00147 \\times 3 \\\\ = 0.003441 \\\\ \\lt 0.05 \\end{array}<\/td>(3) \\begin{array}{lcl} 0.001147 \\times 3 \\\\ = 0.003441 \\\\ \\lt 0.05 \\end{array}<\/td><\/tr>
L\u3068M<\/td>0.07194<\/td>(2)  \\begin{array}{lcl} 0.07194 \\times 2 \\\\ = 0.14388 \\\\ \\gt 0.05 \\end{array}<\/td>(2) \\begin{array}{lcl} 0.07194 \\times 2 \\\\ = 0.14388 \\\\ \\gt 0.05 \\end{array}<\/td><\/tr>
M\u3068H<\/td>0.08857<\/td><\/td>(1) \\begin{array}{lcl} 0.08857 \\times 1 \\\\ = 0.08857 \\\\ \\gt 0.05 \\end{array}<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n\"\"<\/a>\r\n
\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div>
\u307e\u3068\u3081<\/h2>\n\n\n\n
\u6e2c\u5b9a\u5024\u306e\u3088\u3046\u306a\u6570\u5024\u30c7\u30fc\u30bf\u3067\u3001\u4e09\u7fa4\u4ee5\u4e0a\u3092\u591a\u91cd\u6bd4\u8f03\u3057\u305f\u3044\u5834\u5408\u3001\u30c7\u30fc\u30bf\u304c\u6b63\u898f\u5206\u5e03\u3057\u3066\u3044\u308b\u304b\u4e0d\u660e\u306a\u3089\u3001\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u691c\u5b9a\u3092\u4f7f\u3046\u3068\u3088\u3044\u3002<\/p>\n\n\n\n
\u9069\u5207\u306a\u65b9\u6cd5\u306fWilcoxon Exact Test\u3092\u7e70\u308a\u8fd4\u3057\u3066\u884c\u3044\u3001Bonferroni\u578b\u306ep\u5024\u8abf\u6574\u3092\u884c\u3046\u65b9\u6cd5\u3060\u3002<\/p>\n\n\n\n
p\u5024\u8abf\u6574\u6cd5\u306f\u3001Holm\u304bHochberg\u304c\u304a\u3059\u3059\u3081\u3060\u304c\u3001\u691c\u51fa\u529b\u306e\u9ad8\u3044Hochberg\u306e\u65b9\u6cd5\u304c\u3088\u308a\u304a\u3059\u3059\u3081\u3060\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
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