{"id":1575,"date":"2023-07-25T19:20:47","date_gmt":"2023-07-25T19:20:47","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%85%a5%e3%82%8c%e5%ad%90%e3%81%ab%e3%81%aa%e3%81%a3%e3%81%9f-r-%e3%81%ae%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90\/"},"modified":"2023-07-25T19:20:47","modified_gmt":"2023-07-25T19:20:47","slug":"%e5%85%a5%e3%82%8c%e5%ad%90%e3%81%ab%e3%81%aa%e3%81%a3%e3%81%9f-r-%e3%81%ae%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%85%a5%e3%82%8c%e5%ad%90%e3%81%ab%e3%81%aa%e3%81%a3%e3%81%9f-r-%e3%81%ae%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90\/","title":{"rendered":"R \u3067\u30cd\u30b9\u30c8\u3055\u308c\u305f anova \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30cd\u30b9\u30c8\u3055\u308c\u305f\u5206\u6563\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u306f\u3001<\/a>\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u56e0\u5b50\u304c\u5225\u306e\u56e0\u5b50\u5185\u306b<em>\u30cd\u30b9\u30c8\u3055\u308c\u3066<\/em>\u3044\u308b ANOVA (\u300c\u5206\u6563\u5206\u6790\u300d) \u306e\u4e00\u7a2e\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7814\u7a76\u8005\u304c 3 \u3064\u306e\u7570\u306a\u308b\u80a5\u6599\u304c\u7570\u306a\u308b\u30ec\u30d9\u30eb\u306e\u690d\u7269\u306e\u6210\u9577\u3092\u3082\u305f\u3089\u3059\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u30013 \u4eba\u306e\u7570\u306a\u308b\u6280\u8853\u8005\u304c\u305d\u308c\u305e\u308c 4 \u3064\u306e\u690d\u7269\u306b\u80a5\u6599 A \u3092\u6563\u5e03\u3057\u3001\u4ed6\u306e 3 \u4eba\u306e\u6280\u8853\u8005\u304c\u305d\u308c\u305e\u308c 4 \u3064\u306e\u690d\u7269\u306b\u80a5\u6599 B \u3092\u6563\u5e03\u3057\u3001\u4ed6\u306e 3 \u4eba\u306e\u6280\u8853\u8005\u304c\u305d\u308c\u305e\u308c 4 \u3064\u306e\u690d\u7269\u306b\u80a5\u6599 C \u3092\u6563\u5e03\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30b7\u30ca\u30ea\u30aa\u3067\u306f\u3001<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570\u306f<\/a>\u690d\u7269\u306e\u6210\u9577\u3067\u3042\u308a\u30012 \u3064\u306e\u8981\u56e0\u306f\u6280\u8853\u8005\u3068\u80a5\u6599\u3067\u3059\u3002\u6280\u8853\u8005\u304c\u80a5\u6599\u306e\u4e2d\u306b<em>\u9589\u3058\u8fbc\u3081\u3089\u308c\u3066\u3044\u308b<\/em>\u3053\u3068\u304c\u5224\u660e\u3057\u307e\u3057\u305f\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15679 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbrique1-1.png\" alt=\"\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u306e\u4f8b\" width=\"677\" height=\"167\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u6bb5\u968e\u7684\u306a\u4f8b\u306f\u3001R \u3067\u3053\u306e\u5165\u308c\u5b50\u306b\u306a\u3063\u305f ANOVA \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u30c7\u30fc\u30bf\u3092\u4f5c\u6210\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001R \u306b\u30c7\u30fc\u30bf\u3092\u4fdd\u6301\u3059\u308b\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (growth=c(13, 16, 16, 12, 15, 16, 19, 16, 15, 15, 12, 15,\n                          19, 19, 20, 22, 23, 18, 16, 18, 19, 20, 21, 21,\n                          21, 23, 24, 22, 25, 20, 20, 22, 24, 22, 25, 26),\n                 fertilizer=c(rep(c(' <span style=\"color: #ff0000;\">A<\/span> ', ' <span style=\"color: #ff0000;\">B<\/span> ', ' <span style=\"color: #ff0000;\">C<\/span> '), each= <span style=\"color: #008000;\">12<\/span> )),\n                 tech=c(rep(1:9, each= <span style=\"color: #008000;\">4<\/span> )))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  growth fertilizer tech\n1 13 A 1\n2 16 A 1\n3 16 A 1\n4 12 A 1\n5 15 A 2\n6 16 A 2<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u3092\u8abf\u6574\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u3066\u3001R \u3067\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u3092\u5f53\u3066\u306f\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>aov(\u7b54\u3048 ~ \u56e0\u5b50 A \/ \u56e0\u5b50 B)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5fdc\u7b54:<\/strong>\u5fdc\u7b54\u5909\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u56e0\u5b50 A:<\/strong>\u6700\u521d\u306e\u56e0\u5b50<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u56e0\u5b50 B:<\/strong>\u6700\u521d\u306e\u56e0\u5b50\u306b\u30cd\u30b9\u30c8\u3055\u308c\u305f 2 \u756a\u76ee\u306e\u56e0\u5b50<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u3092\u5f53\u3066\u306f\u3081\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit nested ANOVA\n<\/span>nest &lt;- aov(df$growth ~ df$fertilizer \/ factor(df$tech))\n\n<span style=\"color: #008080;\">#view summary of nested ANOVA\n<\/span>summary(nest)\n\n                              Df Sum Sq Mean Sq F value Pr(&gt;F)    \ndf$fertilizer 2 372.7 186.33 53.238 4.27e-10 ***\ndf$fertilizer:factor(df$tech) 6 31.8 5.31 1.516 0.211    \nResiduals 27 94.5 3.50                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">p \u5024\u5217\u3092\u898b\u3066\u3001\u5404\u8981\u56e0\u304c\u690d\u7269\u306e\u6210\u9577\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0a\u306e\u8868\u304b\u3089\u3001\u80a5\u6599\u306f\u690d\u7269\u306e\u6210\u9577\u306b\u5bfe\u3057\u3066\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u5f71\u97ff\u3092\u53ca\u307c\u3057\u307e\u3059\u304c (p \u5024 &lt; 0.05)\u3001\u6280\u8853\u8005\u306f\u5f71\u97ff\u3092\u53ca\u307c\u3055\u306a\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059 (p \u5024 = 0.211)\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u690d\u7269\u306e\u6210\u9577\u3092\u4fc3\u9032\u3057\u305f\u3044\u5834\u5408\u306f\u3001\u80a5\u6599\u3092\u9069\u7528\u3059\u308b\u500b\u3005\u306e\u6280\u8853\u8005\u3067\u306f\u306a\u304f\u3001\u4f7f\u7528\u3059\u308b\u80a5\u6599\u306b\u7126\u70b9\u3092\u5f53\u3066\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4: \u7d50\u679c\u3092\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u3001\u7bb1\u3072\u3052\u56f3\u3092\u4f7f\u7528\u3057\u3066\u3001\u80a5\u6599\u5225\u304a\u3088\u3073\u6280\u8853\u8005\u5225\u306e\u690d\u7269\u306e\u6210\u9577\u306e\u5206\u5e03\u3092\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load ggplot2 data visualization package\n<\/span><span style=\"color: #993300;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create boxplots to visualize plant growth\n<\/span>ggplot(df, <span style=\"color: #3366ff;\">aes<\/span> (x=factor(tech), y=growth, fill=fertilizer)) +\n  geom_boxplot()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15690 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbriquer1.png\" alt=\"\" width=\"429\" height=\"427\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30b0\u30e9\u30d5\u306f\u30013 \u3064\u306e\u7570\u306a\u308b\u80a5\u6599\u9593\u3067\u6210\u9577\u306b\u5927\u304d\u306a\u3070\u3089\u3064\u304d\u304c\u3042\u308b\u304c\u3001\u5404\u80a5\u6599\u30b0\u30eb\u30fc\u30d7\u5185\u306e\u6280\u8853\u8005\u9593\u3067\u306f\u305d\u308c\u307b\u3069\u5927\u304d\u306a\u3070\u3089\u3064\u304d\u304c\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u5165\u308c\u5b50\u578b\u5206\u6563\u5206\u6790\u306e\u7d50\u679c\u3068\u4e00\u81f4\u3057\u3066\u3044\u308b\u3088\u3046\u3067\u3001\u80a5\u6599\u306f\u690d\u7269\u306e\u6210\u9577\u306b\u5927\u304d\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304c\u3001\u500b\u3005\u306e\u6280\u8853\u8005\u306b\u306f\u5f71\u97ff\u304c\u306a\u3044\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u5206\u6563\u5206\u6790\u53cc\u65b9\u5411\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u53cd\u5fa9\u6e2c\u5b9a\u306e\u5206\u6563\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u53cd\u5fa9\u6e2c\u5b9a ANOVA \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u306f\u3001\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u56e0\u5b50\u304c\u5225\u306e\u56e0\u5b50\u5185\u306b\u30cd\u30b9\u30c8\u3055\u308c\u3066\u3044\u308b ANOVA (\u300c\u5206\u6563\u5206\u6790\u300d) \u306e\u4e00\u7a2e\u3067\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\u7814\u7a76\u8005\u304c 3 \u3064\u306e\u7570\u306a\u308b\u80a5\u6599\u304c\u7570\u306a\u308b\u30ec\u30d9\u30eb\u306e\u690d\u7269\u306e\u6210\u9577\u3092\u3082\u305f\u3089\u3059\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f [&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-1575","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\u30cd\u30b9\u30c8\u3055\u308c\u305f ANOVA \u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u30b9\u30c6\u30c3\u30d7\u30d0\u30a4\u30b9\u30c6\u30c3\u30d7)<\/title>\n<meta name=\"description\" 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