{"id":3589,"date":"2023-07-16T15:57:08","date_gmt":"2023-07-16T15:57:08","guid":{"rendered":"https:\/\/statorials.org\/ja\/r%e6%a4%9c%e5%ae%9a%e5%88%86%e6%95%a3%e6%af%94\/"},"modified":"2023-07-16T15:57:08","modified_gmt":"2023-07-16T15:57:08","slug":"r%e6%a4%9c%e5%ae%9a%e5%88%86%e6%95%a3%e6%af%94","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r%e6%a4%9c%e5%ae%9a%e5%88%86%e6%95%a3%e6%af%94\/","title":{"rendered":"R \u3067\u5206\u6563\u6bd4\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u4f8b\u3042\u308a)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5206\u6563\u6bd4\u691c\u5b9a\u306f\u3001<\/strong> 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u691c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u3044<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u304f\u306a\u3044<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u30c6\u30b9\u30c8\u7d71\u8a08\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F<\/strong> = s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> <sup>2<\/sup><\/strong> : \u6700\u521d\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u6a19\u672c\u5206\u6563<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s <sub>2<\/sub> <sup>2<\/sup><\/strong> : 2 \u756a\u76ee\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u6a19\u672c\u5206\u6563<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e F \u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u5024<\/a>\u304c\u7279\u5b9a\u306e\u3057\u304d\u3044\u5024 (\u305f\u3068\u3048\u3070\u30010.05) \u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u3001\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u304f\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u3067\u5206\u6563\u6bd4\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u7d44\u307f\u8fbc\u307f\u95a2\u6570<strong>var.test()<\/strong>\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u306e\u95a2\u6570\u3092\u5b9f\u969b\u306b\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: R \u306e\u5206\u6563\u6bd4\u306e\u30c6\u30b9\u30c8<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">2 \u3064\u306e\u7570\u306a\u308b\u690d\u7269\u7a2e\u306e\u9ad8\u3055\u306e\u3070\u3089\u3064\u304d\u304c\u540c\u3058\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\u3001\u5404\u7a2e\u304b\u3089 15 \u500b\u306e\u690d\u7269\u306e<a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5358\u7d14\u306a\u30e9\u30f3\u30c0\u30e0 \u30b5\u30f3\u30d7\u30eb\u3092<\/a>\u53ce\u96c6\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001R \u3067\u5206\u6563\u6bd4\u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3066\u30012 \u3064\u306e\u7a2e\u306e\u9593\u3067\u9ad8\u3055\u306e\u5206\u6563\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\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;\">#create vectors to hold plant heights from each sample\n<\/span>group1 &lt;- c(5, 6, 6, 8, 10, 12, 12, 13, 14, 15, 15, 17, 18, 18, 19)\ngroup2 &lt;- c(9, 9, 10, 12, 12, 13, 14, 16, 16, 19, 22, 24, 26, 29, 29)\n\n<\/strong><strong><span style=\"color: #008080;\">#perform variance ratio test\n<\/span>var. <span style=\"color: #3366ff;\">test<\/span> (group1, group2)\n\n\tF test to compare two variances\n\ndata: group1 and group2\nF = 0.43718, num df = 14, denom df = 14, p-value = 0.1336\nalternative hypothesis: true ratio of variances is not equal to 1\n95 percent confidence interval:\n 0.1467737 1.3021737\nsample estimates:\nratio of variances \n         0.4371783<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30c6\u30b9\u30c8\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>data:<\/strong>\u30b5\u30f3\u30d7\u30eb \u30c7\u30fc\u30bf\u3092\u542b\u3080\u30d9\u30af\u30c8\u30eb\u306e\u540d\u524d\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F:<\/strong> F \u691c\u5b9a\u7d71\u8a08\u91cf\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u308c\u306f<strong>0.43718<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>num df\u3001denom df<\/strong> : F \u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u5206\u5b50\u3068\u5206\u6bcd\u306e\u81ea\u7531\u5ea6\u3002\u305d\u308c\u305e\u308c n <sub>1<\/sub> \u2013 1 \u304a\u3088\u3073 n <sub>2<\/sub> -1 \u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>p \u5024:<\/strong>\u5206\u5b50 df = 14\u3001\u5206\u6bcd df = 14 \u306e F \u691c\u5b9a\u7d71\u8a08\u91cf 0.43718 \u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u3002p \u5024\u306f<strong>0.1336<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>95% \u4fe1\u983c\u533a\u9593:<\/strong> 2 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u771f\u306e\u5206\u6563\u6bd4\u306e 95% \u4fe1\u983c\u533a\u9593\u3002 <strong>[.147, 1.302]<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u533a\u9593\u306b\u306f 1 \u304c\u542b\u307e\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u771f\u306e\u5206\u6563\u6bd4\u306f 1\u3001\u3064\u307e\u308a\u5206\u6563\u304c\u7b49\u3057\u3044\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b5\u30f3\u30d7\u30eb\u63a8\u5b9a\u5024:<\/strong>\u3053\u308c\u306f\u5404\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u5206\u6563\u306e\u6bd4\u7387\u3092\u8868\u3057\u307e\u3059\u3002 <strong>var()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u6700\u521d\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u6a19\u672c\u5206\u6563\u304c 21.8381\u30012 \u756a\u76ee\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u6a19\u672c\u5206\u6563\u304c 49.95238 \u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u6bd4\u306f 21.8381 \/ 49.95238 = <strong>0.4371783<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u3044<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u304f\u306a\u3044<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024<strong>(0.1336)<\/strong>\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u30012 \u3064\u306e\u7a2e\u306e\u9593\u306e\u8349\u4e08\u306e\u5dee\u7570\u304c\u4e0d\u5747\u7b49\u3067\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u306e\u306b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u4ed6\u306e\u4e00\u822c\u7684\u306a\u30bf\u30b9\u30af\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u30b5\u30f3\u30d5\u309a\u30eb-t-\u691c\u5b9a\/\" target=\"_blank\" rel=\"noopener\">R \u3067 1 \u30b5\u30f3\u30d7\u30eb\u306e T \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u30a6\u30a7\u30eb\u30c1-t-\u691c\u5b9a\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u30a6\u30a7\u30eb\u30c1\u306e T \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u5bfe\u5fdc\u306e\u3042\u308b\u30b5\u30f3\u30d5\u309a\u30eb-t-\u691c\u5b9a-r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5bfe\u5fdc\u306e\u3042\u308b\u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5206\u6563\u6bd4\u691c\u5b9a\u306f\u3001 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u691c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 H 0 : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u3044 H A : \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u7b49\u3057\u304f\u306a\u3044 \u3053\u306e\u30c6\u30b9\u30c8\u3092 [&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-3589","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\u5206\u6563\u6bd4\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 (\u4f8b\u4ed8\u304d) - \u7d71\u8a08<\/title>\n<meta name=\"description\" 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