{"id":1714,"date":"2023-07-25T06:43:18","date_gmt":"2023-07-25T06:43:18","guid":{"rendered":"https:\/\/statorials.org\/ja\/t-%e6%a4%9c%e5%ae%9a%e3%81%ae%e7%b5%90%e6%9e%9c%e3%82%92-r-%e3%81%a6%e3%82%99%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/"},"modified":"2023-07-25T06:43:18","modified_gmt":"2023-07-25T06:43:18","slug":"t-%e6%a4%9c%e5%ae%9a%e3%81%ae%e7%b5%90%e6%9e%9c%e3%82%92-r-%e3%81%a6%e3%82%99%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/t-%e6%a4%9c%e5%ae%9a%e3%81%ae%e7%b5%90%e6%9e%9c%e3%82%92-r-%e3%81%a6%e3%82%99%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/","title":{"rendered":"\u5b8c\u5168\u30ac\u30a4\u30c9: r \u3067 t \u691c\u5b9a\u306e\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/2-\u3064\u306e\u30b5\u30f3\u30d5\u309a\u30eb\u3092\u30c6\u30b9\u30c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">2 \u6a19\u672c t \u691c\u5b9a\u306f\u3001<\/a> 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\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\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067 2 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u306e\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306b\u95a2\u3059\u308b\u5b8c\u5168\u306a\u30ac\u30a4\u30c9\u3092\u63d0\u4f9b\u3057\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;\">2 \u3064\u306e\u7570\u306a\u308b\u7a2e\u306e\u690d\u7269\u306e\u5e73\u5747\u9ad8\u3055\u304c\u540c\u3058\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u5404\u7a2e\u304b\u3089 12 \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<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of plant heights from group 1\n<\/span>group1 &lt;- c(8, 8, 9, 9, 9, 11, 12, 13, 13, 14, 15, 19)\n\n<span style=\"color: #008080;\">#create vector of plant heights from group 2\n<\/span>group2 &lt;- c(11, 12, 13, 13, 14, 14, 14, 15, 16, 18, 18, 19)<\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: 2 \u6a19\u672c\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3066\u89e3\u91c8\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001 <strong>t.test()<\/strong>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u306e\u4f8b\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform two sample t-tests\n<\/span>t. <span style=\"color: #3366ff;\">test<\/span> (group1, group2)\n\n\tWelch Two Sample t-test\n\ndata: group1 and group2\nt = -2.5505, df = 20.488, p-value = 0.01884\nalternative hypothesis: true difference in means is not equal to 0\n95 percent confidence interval:\n -5.6012568 -0.5654098\nsample estimates:\nmean of x mean of y \n 11.66667 14.75000 \n<\/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>\u30c7\u30fc\u30bf:<\/strong>\u3053\u308c\u306f\u30012 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3067\u4f7f\u7528\u3055\u308c\u305f\u30c7\u30fc\u30bf\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001group1 \u3068 group2 \u3068\u3044\u3046\u30d9\u30af\u30c8\u30eb\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t:<\/strong>\u3053\u308c\u306f t \u691c\u5b9a\u7d71\u8a08\u91cf\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u308c\u306f<strong>-2.5505<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>df<\/strong> : \u3053\u308c\u3089\u306f\u3001t \u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u81ea\u7531\u5ea6\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u308c\u306f<strong>20,488<\/strong>\u3067\u3059\u3002\u3053\u306e\u81ea\u7531\u5ea6\u306e\u5024\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30bf\u30fc\u30b9\u30a6\u30a7\u30a4\u30c8\u8fd1\u4f3c\/\" target=\"_blank\" rel=\"noopener\">\u30b5\u30bf\u30fc\u30b9\u30a6\u30a7\u30a2\u8fd1\u4f3c<\/a>\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>p \u5024:<\/strong>\u3053\u308c\u306f\u3001\u691c\u5b9a\u7d71\u8a08\u91cf -2.5505 \u304a\u3088\u3073 df = 20.488 \u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u3067\u3059\u3002 p \u5024\u306f<strong>.01884<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u5024\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/t-\u30b9\u30b3\u30a2-p-\u5024\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">T \u30b9\u30b3\u30a2\u304b\u3089 P \u5024\u3078\u306e\u8a08\u7b97\u30c4\u30fc\u30eb<\/a>\u3092\u4f7f\u7528\u3057\u3066\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5bfe\u7acb\u4eee\u8aac:<\/strong>\u3053\u306e\u7279\u5b9a\u306e t \u691c\u5b9a\u306b\u4f7f\u7528\u3055\u308c\u308b\u5bfe\u7acb\u4eee\u8aac\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u5bfe\u7acb\u4eee\u8aac\u306f\u30012 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u5e73\u5747\u306e\u771f\u306e\u5dee\u306f\u30bc\u30ed\u306b\u7b49\u3057\u304f\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>95% \u4fe1\u983c\u533a\u9593:<\/strong>\u3053\u308c\u306b\u3088\u308a\u30012 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u5e73\u5747\u306e\u771f\u306e\u5dee\u306e 95% \u4fe1\u983c\u533a\u9593\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <strong>[-5.601, -.5654]<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b5\u30f3\u30d7\u30eb\u63a8\u5b9a\u5024:<\/strong>\u3053\u308c\u306b\u3088\u308a\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u306e<a href=\"https:\/\/statorials.org\/ja\" target=\"_blank\" rel=\"noopener\">\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u304c<\/a>\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u30b0\u30eb\u30fc\u30d7 1 \u306e\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306f<strong>11.667<\/strong>\u3067\u3001\u30b0\u30eb\u30fc\u30d7 2 \u306e\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306f<strong>14.75<\/strong>\u3067\u3057\u305f\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u3053\u306e\u7279\u5b9a\u306e 2 \u30b5\u30f3\u30d7\u30eb t \u691c\u5b9a\u306e 2 \u3064\u306e\u4eee\u5b9a\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u5e73\u5747\u306f\u7b49\u3057\u3044)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> \u2260\u00b5 <sub>2<\/sub> (2 \u3064\u306e\u6bcd\u96c6\u56e3\u5e73\u5747\u306f\u7b49\u3057\u304f\u3042\u308a<em>\u307e\u305b\u3093<\/em>)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024<strong>(0.01884)<\/strong>\u306f alpha = 0.05 \u3088\u308a\u5c0f\u3055\u3044\u305f\u3081\u3001\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u307e\u3059\u3002<\/span><span style=\"color: #000000;\">\u3053\u308c\u306f\u30012 \u3064\u306e\u96c6\u56e3\u9593\u306e\u5e73\u5747\u8349\u4e08\u304c\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b3\u30e1\u30f3\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">R \u306e<strong>t.test()<\/strong>\u95a2\u6570\u306f\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">t.test(x, y, \u4ee3\u66ff = \u300c\u4e21\u5074\u300d, mu = 0, \u30da\u30a2 = FALSE, var.equal = FALSE, conf.level = 0.95)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x\u3001y:<\/strong>\u30c7\u30fc\u30bf\u3092\u542b\u3080 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u540d\u524d\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4ee3\u66ff:<\/strong>\u5bfe\u7acb\u4eee\u8aac\u3002\u30aa\u30d7\u30b7\u30e7\u30f3\u306b\u306f\u300c\u4e21\u9762\u300d\u3001\u300c\u7e2e\u5c0f\u300d\u3001\u307e\u305f\u306f\u300c\u62e1\u5927\u300d\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu:<\/strong>\u5e73\u5747\u5024\u306e\u771f\u306e\u5dee\u3067\u3042\u308b\u3068\u60f3\u5b9a\u3055\u308c\u308b\u5024\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5bfe\u5fdc\u306e\u3042\u308b:<\/strong>\u5bfe\u5fdc\u306e\u3042\u308b t \u691c\u5b9a\u3092\u4f7f\u7528\u3059\u308b\u304b\u3069\u3046\u304b\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>var.equal:<\/strong> 2 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u5dee\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>conf.level:<\/strong>\u30c6\u30b9\u30c8\u306b\u4f7f\u7528\u3059\u308b\u4fe1\u983c\u30ec\u30d9\u30eb\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0a\u8a18\u306e\u4f8b\u3067\u306f\u3001\u6b21\u306e\u4eee\u5b9a\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u4e21\u5074\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u5024\u306e\u771f\u306e\u5dee\u304c\u30bc\u30ed\u306b\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3057\u307e\u3057\u305f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5bfe\u5fdc\u306e\u3042\u308b t \u691c\u5b9a\u3067\u306f\u306a\u304f\u30012 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u79c1\u305f\u3061\u306f\u30b0\u30eb\u30fc\u30d7\u9593\u306e<a href=\"https:\/\/statorials.org\/ja\/\u7b49\u3057\u3044\u5206\u6563\u307e\u305f\u306f\u4e0d\u7b49\u306a\u5206\u6563\u3092\u6c7a\u5b9a\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">\u5dee\u7570\u304c\u7b49\u3057\u3044<\/a>\u3068\u306f\u60f3\u5b9a\u3057\u3066\u3044\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u6c34\u6e96\u3068\u4fe1\u983c\u533a\u9593\/\" target=\"_blank\" rel=\"noopener\">\u4fe1\u983c\u6c34\u6e96<\/a>95% \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u72ec\u81ea\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u3068\u304d\u306f\u3001\u5b9f\u884c\u3059\u308b\u7279\u5b9a\u306e\u691c\u5b9a\u306b\u5fdc\u3058\u3066\u3001\u3053\u308c\u3089\u306e\u5f15\u6570\u3092\u81ea\u7531\u306b\u5909\u66f4\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><a href=\"https:\/\/statorials.org\/ja\/2-\u3064\u306e\u30b5\u30f3\u30d5\u309a\u30eb\u3092\u30c6\u30b9\u30c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">2 \u6a19\u672c t \u691c\u5b9a\u306e\u6982\u8981<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/ta-\u30c6\u30b9\u30c8\u96fb\u5353-2-\u3064\u306e\u30b5\u30f3\u30d5\u309a\u30eb\/\" target=\"_blank\" rel=\"noopener\">2 \u30b5\u30f3\u30d7\u30eb t \u691c\u5b9a\u8a08\u7b97\u6a5f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u6a19\u672c t \u691c\u5b9a\u306f\u3001 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\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\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067 2 \u30b5\u30f3\u30d7\u30eb\u306e t 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