{"id":481,"date":"2023-07-29T18:24:50","date_gmt":"2023-07-29T18:24:50","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%9e%e3%83%8e%e3%83%8f%e3%82%99%e3%81%8b%e3%82%89r\/"},"modified":"2023-07-29T18:24:50","modified_gmt":"2023-07-29T18:24:50","slug":"%e3%83%9e%e3%83%8e%e3%83%8f%e3%82%99%e3%81%8b%e3%82%89r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%9e%e3%83%8e%e3%83%8f%e3%82%99%e3%81%8b%e3%82%89r\/","title":{"rendered":"R \u3067 manova \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">MANOVA \u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u307e\u305a ANOVA \u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u4e00\u65b9\u5411\u5206\u6563\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">ANOVA<\/a> (\u5206\u6563\u5206\u6790) \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><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u5b66\u7fd2\u30c6\u30af\u30cb\u30c3\u30af\u304c\u3042\u308b\u30af\u30e9\u30b9\u306e\u751f\u5f92\u306e\u8a66\u9a13\u306e\u6210\u7e3e\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u30af\u30e9\u30b9\u3092\u30e9\u30f3\u30c0\u30e0\u306b 3 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u307e\u3057\u305f\u3002\u5404\u30b0\u30eb\u30fc\u30d7\u306f\u3001\u8a66\u9a13\u306b\u5099\u3048\u3066 1 \u304b\u6708\u9593\u3001\u7570\u306a\u308b\u5b66\u7fd2\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u6708\u672b\u306b\u3001\u751f\u5f92\u5168\u54e1\u304c\u540c\u3058\u8a66\u9a13\u3092\u53d7\u3051\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u52c9\u5f37\u65b9\u6cd5\u304c\u8a66\u9a13\u306e\u30b9\u30b3\u30a2\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3069\u3046\u304b\u3092\u8abf\u3079\u308b\u306b\u306f\u3001\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u30013 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u30b9\u30b3\u30a2\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u306b\u306f\u5fdc\u7b54\u5909\u6570\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001 <strong>MANOVA<\/strong> (\u591a\u5909\u91cf\u5206\u6563\u5206\u6790) \u3067\u306f\u3001\u8907\u6570\u306e\u5fdc\u7b54\u5909\u6570\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u6559\u80b2\u30ec\u30d9\u30eb (\u9ad8\u6821\u3001\u6e96\u5b66\u58eb\u53f7\u3001\u5b66\u58eb\u53f7\u3001\u4fee\u58eb\u53f7\u306a\u3069) \u304c\u5e74\u53ce\u3068\u5b66\u751f\u30ed\u30fc\u30f3\u306e\u984d\u306e\u4e21\u65b9\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u30011 \u3064\u306e\u56e0\u5b50 (\u6559\u80b2\u30ec\u30d9\u30eb) \u3068 2 \u3064\u306e\u5fdc\u7b54\u5909\u6570 (\u5e74\u53ce\u3068\u5b66\u751f\u30ed\u30fc\u30f3) \u304c\u3042\u308b\u305f\u3081\u3001\u4e00\u65b9\u5411\u306e MANOVA \u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95a2\u9023:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/ja\/-10\/\" target=\"_blank\" rel=\"noopener\">ANOVA\u3001ANCOVA\u3001MANOVA\u3001MANCOVA \u306e\u9055\u3044\u3092\u7406\u89e3\u3059\u308b<\/a><\/p>\n<h2><span style=\"color: #000000;\"><strong>R \u3067 MANOVA \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u3067\u306f\u3001\u7d44\u307f\u8fbc\u307f\u306e<strong>\u30a2\u30e4\u30e1<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u3066\u3001R \u3067\u4e00\u65b9\u5411 MANOVA \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u306f\u30013 \u3064\u306e\u7570\u306a\u308b\u7a2e (\u300csetosa\u300d\u3001\u300cvirginica\u300d) \u306e\u3055\u307e\u3056\u307e\u306a\u82b1\u306e\u6e2c\u5b9a\u5024\u306e\u9577\u3055\u3068\u5e45\u306b\u95a2\u3059\u308b\u60c5\u5831\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002 \u3001\u300c\u765c\u98a8\u300d\uff09\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>iris<\/em> dataset<\/span>\nhead(iris)\n\n# Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n#1 5.1 3.5 1.4 0.2 setosa\n#2 4.9 3.0 1.4 0.2 setosa\n#3 4.7 3.2 1.3 0.2 setosa\n#4 4.6 3.1 1.5 0.2 setosa\n#5 5.0 3.6 1.4 0.2 setosa\n#6 5.4 3.9 1.7 0.4 setosa\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7a2e\u304c\u304c\u304f\u7247\u306e\u9577\u3055\u3068\u5e45\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002<em>\u7a2e\u3092<\/em>\u72ec\u7acb\u5909\u6570\u3068\u3057\u3066\u3001\u304c\u304f\u7247\u306e<em>\u9577\u3055<\/em>\u3068<em>\u5e45\u3092<\/em>\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b\u3068\u3001R \u306e<strong>manova()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u4e00\u65b9\u5411 MANOVA \u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>manova()<\/strong>\u95a2\u6570\u306f\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: left;\"> <strong><span style=\"color: #000000;\">manova (cbind (rv1, rv2, \u2026) ~ iv, \u30c7\u30fc\u30bf)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>rv1\u3001rv2<\/strong> : \u5fdc\u7b54\u5909\u6570 1\u3001\u5fdc\u7b54\u5909\u6570 2 \u306a\u3069\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>iv<\/strong> : \u72ec\u7acb\u5909\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>data<\/strong> : \u30c7\u30fc\u30bf\u30d5\u30ec\u30fc\u30e0\u306e\u540d\u524d<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">iris \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u305f\u4f8b\u3067\u306f\u3001\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u3066 MANOVA \u3092\u8fd1\u4f3c\u3057\u3001\u7d50\u679c\u3092\u8868\u793a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the MANOVA model<\/span>\nmodel &lt;- manova(cbind(Sepal.Length, Sepal.Width) ~ Species, data = iris)\n\n<span style=\"color: #008080;\">#view the results\n<\/span>summary(model)\n# Df Pillai approx F num Df den Df Pr(&gt;F)    \n#Species 2 0.94531 65.878 4,294 &lt; 2.2e-16 ***\n#Residuals 147                                             \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u304b\u3089\u3001F \u7d71\u8a08\u91cf\u306f 65.878 \u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u304c\u975e\u5e38\u306b\u5c0f\u3055\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u7a2e\u306b\u5fdc\u3058\u3066\u304c\u304f\u7247\u306e\u6e2c\u5b9a\u5024\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u6280\u8853\u7684\u306a\u30e1\u30e2:<\/strong>\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f\u3001manova() \u306f<em>Pillai<\/em>\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3053\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u5206\u5e03\u306f\u8907\u96d1\u3067\u3042\u308b\u305f\u3081\u3001\u89e3\u91c8\u3092\u5bb9\u6613\u306b\u3059\u308b\u305f\u3081\u306b\u8fd1\u4f3c\u306e F \u5024\u3082\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3055\u3089\u306b\u3001\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u3066\u3001\u4f7f\u7528\u3059\u308b\u691c\u5b9a\u7d71\u8a08\u91cf\u3068\u3057\u3066\u300cRoy\u300d\u3001\u300cHotelling-Lawley\u300d\u3001\u300cWilks\u300d\u3092\u6307\u5b9a\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059: summary(model, test = &#8216;Wilks&#8217;)<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u304c\u304f\u7247\u306e<em>\u9577\u3055<\/em>\u3068<em>\u5e45\u304c<\/em><em>\u7a2e<\/em>\u306b\u3088\u3063\u3066\u3069\u306e\u3088\u3046\u306a\u5f71\u97ff\u3092\u53d7\u3051\u308b\u304b\u3092\u6b63\u78ba\u306b\u8abf\u3079\u308b\u306b\u306f\u3001\u6b21\u306e\u30b3\u30fc\u30c9\u306b\u793a\u3059\u3088\u3046\u306b<strong>summary.aov()<\/strong>\u3092\u4f7f\u7528\u3057\u3066\u4e00\u5909\u91cf\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>summary.aov(model)\n\n\n# Response Sepal.Length:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 63.212 31.606 119.26 &lt; 2.2e-16 ***\n#Residuals 147 38.956 0.265                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\n# Response Sepal.Width:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 11.345 5.6725 49.16 &lt; 2.2e-16 ***\n#Residuals 147 16.962 0.1154                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7d50\u679c\u304b\u3089\u3001\u4e21\u65b9\u306e\u4e00\u5909\u91cf\u5206\u6563\u5206\u6790\u306e p \u5024\u304c\u975e\u5e38\u306b\u4f4e\u3044 (&lt;2.2e-16) \u3053\u3068\u304c\u308f\u304b\u308a\u3001<em>\u7a2e\u304c<\/em><em>\u304c\u304f\u7247\u306e<\/em><em>\u5e45<\/em>\u3068\u9577\u3055\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u30b0\u30eb\u30fc\u30d7\u306e\u30ea\u30bd\u30fc\u30b9\u3092\u8996\u899a\u5316\u3059\u308b<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u72ec\u7acb\u5909\u6570<em>\u7a2e<\/em>\u306e\u5404\u30ec\u30d9\u30eb\u306e\u30b0\u30eb\u30fc\u30d7\u5e73\u5747\u3092\u8996\u899a\u5316\u3059\u308b\u3053\u3068\u3082\u5f79\u7acb\u3064\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001 <strong>gplots<\/strong>\u30e9\u30a4\u30d6\u30e9\u30ea\u3068<strong>Lotmeans()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001<em>\u7a2e\u3054\u3068<\/em>\u306e<em>\u304c\u304f\u7247\u306e\u5e73\u5747\u9577\u3092<\/em>\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load <em>gplots<\/em> library<\/span>\nlibrary(gplots)\n\n<span style=\"color: #008080;\">#visualize mean <em>sepal length<\/em> by <em>species<\/em>\n<\/span>plotmeans(iris$Sepal.Length ~ iris$Species)<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30b0\u30e9\u30d5\u304b\u3089\u3001\u304c\u304f\u7247\u306e\u5e73\u5747\u9577\u3055\u306f\u7a2e\u306b\u3088\u3063\u3066\u5927\u304d\u304f\u7570\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u7a2e\u9593\u3067\u304c\u304f\u7247\u306e\u6e2c\u5b9a\u5024\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u3068\u3044\u3046 MANOVA \u306e\u7d50\u679c\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u7a2e\u3054\u3068<\/em>\u306b\u304c\u304f<em>\u7247\u306e\u5e73\u5747\u5e45\u3092<\/em>\u8996\u899a\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>plotmeans(iris$Sepal.Width ~ iris$Species)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>manova()<\/strong>\u95a2\u6570\u306e\u5b8c\u5168\u306a\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f<a href=\"https:\/\/www.rdocumentation.org\/packages\/stats\/versions\/3.5.2\/topics\/manova\" target=\"_blank\" rel=\"noopener\">\u3001\u3053\u3061\u3089\u3092<\/a>\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>MANOVA \u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u307e\u305a ANOVA \u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u5f79\u7acb\u3061\u307e\u3059\u3002 ANOVA (\u5206\u6563\u5206\u6790) \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 \u305f\u3068\u3048\u3070\u3001\u5b66 [&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-481","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>R \u3067 MANOVA \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\u3001R \u3067 MANOVA (\u591a\u5909\u91cf\u5206\u6563\u5206\u6790) \u3092\u7c21\u5358\u306b\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\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\" 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