{"id":404,"date":"2020-05-18T22:33:38","date_gmt":"2020-05-18T13:33:38","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/welch-t-test-in-r-and-spss\/"},"modified":"2024-10-05T10:05:41","modified_gmt":"2024-10-05T01:05:41","slug":"welch-t-test-in-r-and-spss","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/welch-t-test-in-r-and-spss\/","title":{"rendered":"R \u3068 SPSS \u3067\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306f\u30012 \u7fa4\u304c\u7b49\u5206\u6563\u3067\u3082\u7b49\u5206\u6563\u3067\u306a\u304f\u3066\u3082\u4f7f\u3048\u308b t \u691c\u5b9a<\/p>\n\n\n\n<p>R \u3068 SPSS \u3067\u306e\u5b9f\u884c\u65b9\u6cd5<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\u3068\u306f\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u30a6\u30a7\u30eb\u30c1 (Welch) \u306e t \u691c\u5b9a\u306f\u3001\u4e8c\u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u6bcd\u5206\u6563\u304c\u7b49\u5206\u6563\u3068\u306f\u4eee\u5b9a\u3067\u304d\u306a\u3044\u3068\u304d\u306b\u3082\u9069\u5207\u306b\u6bd4\u8f03\u3067\u304d\u308b\u5e73\u5747\u5024\u306e\u5dee\u306e\u691c\u5b9a\u3060\u3002<\/p>\n\n\n\n<p>\u7b49\u5206\u6563\u306e\u6642\u3067\u3082\u4f7f\u3048\u308b\u3057\u3001\u7b49\u5206\u6563\u3067\u306f\u306a\u304f\u3066\u3082\u4f7f\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u7b49\u5206\u6563\u306e\u6642\u306f\u3001\u307b\u307c\u540c\u3058\u7d50\u679c\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u3060\u304b\u3089\u3001\u3044\u3064\u3067\u3082\u30a6\u30a7\u30eb\u30c1\u691c\u5b9a\u3092\u4f7f\u3048\u3070\u3044\u3044\u3002<\/p>\n\n\n\n<p>\u7b49\u5206\u6563\u6027\u306e\u691c\u5b9a\u3092\u4e8b\u524d\u306b\u5b9f\u65bd\u3059\u308b\u5fc5\u8981\u306f\u306a\u3044\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\u3092-R-\u3067\u5b9f\u884c\u3059\u308b\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092 R \u3067\u5b9f\u884c\u3059\u308b<\/h2>\n\n\n\n<p>R \u3067\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u884c\u3046\u65b9\u6cd5\u306b\u306f\u3001t.test()\u3092\u4f7f\u3046\u3002<\/p>\n\n\n\n<p>t \u691c\u5b9a\u306e\u6a19\u6e96\u4ed5\u69d8\u304c\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u30b0\u30eb\u30fc\u30d71\u304c4\u304b\u308914\u306e11\u500b\u306e\u30c7\u30fc\u30bf\u3001\u30b0\u30eb\u30fc\u30d72\u304c1\u304b\u308911\u306e\u305d\u308c\u305e\u308c3\u500d\u306711\u500b\u306e\u30c7\u30fc\u30bf\u3060\u3068\u3057\u3088\u3046\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X1 <span class=\"synStatement\">&lt;-<\/span><span class=\"synIdentifier\">seq<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">:<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">3<\/span>\nX2 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">seq<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">:<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synConstant\">3<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u30c7\u30fc\u30bf\u306f\u3001\u3053\u3093\u306a\u3075\u3046\u306b\u6e96\u5099\u3059\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"428\" height=\"423\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20230304210315.png\" alt=\"\" class=\"wp-image-2372\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20230304210315.png 428w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20230304210315-300x296.png 300w\" sizes=\"(max-width: 428px) 100vw, 428px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u305d\u306e\u6642\u306e\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9f\u65bd\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">t.test<\/span><span class=\"synSpecial\">(<\/span>X1<span class=\"synSpecial\">,<\/span>X2<span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f\u3001\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3001p\u5024\u304c0.01453\u3067\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306b\u7570\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">t.test<\/span><span class=\"synSpecial\">(<\/span>X1<span class=\"synSpecial\">,<\/span>X2<span class=\"synSpecial\">)<\/span>\nWelch Two Sample t<span class=\"synStatement\">-<\/span>test\ndata<span class=\"synSpecial\">:<\/span>  X1 and X2\nt <span class=\"synStatement\">=<\/span> <span class=\"synStatement\">-<\/span><span class=\"synConstant\">2.846<\/span><span class=\"synSpecial\">,<\/span> df <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">12.195<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.01453<\/span>\nalternative hypothesis<span class=\"synSpecial\">:<\/span> true difference <span class=\"synStatement\">in<\/span> means is not equal to <span class=\"synConstant\">0<\/span>\n<span class=\"synConstant\">95<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synStatement\">-<\/span><span class=\"synConstant\">15.877804<\/span>  <span class=\"synStatement\">-<\/span><span class=\"synConstant\">2.122196<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\nmean of x mean of y\n<span class=\"synConstant\">9<\/span>        <span class=\"synConstant\">18<\/span>\n<\/code><\/pre>\n\n\n\n<div id=\"biost-1945282723\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\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 href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\u3092\u6539\u3081\u3066\u4f5c\u3063\u305f\u95a2\u6570\u3067\u5b9f\u65bd\u3059\u308b\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u6539\u3081\u3066\u4f5c\u3063\u305f\u95a2\u6570\u3067\u5b9f\u65bd\u3059\u308b<\/h2>\n\n\n\n<p>R \u306efunction()\u3092\u4f7f\u3044\u3001\u95a2\u6570\u3092\u6539\u3081\u3066\u4f5c\u3063\u3066\u5b9f\u65bd\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<p>\u5909\u6570\u306f\u5e73\u5747\u5024\u3001\u6a19\u6e96\u504f\u5dee\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u4ee3\u5165\u3059\u308b\u5f62\u306b\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>welch.t.test <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span> <span class=\"synSpecial\">(<\/span>N1<span class=\"synSpecial\">,<\/span> X1bar<span class=\"synSpecial\">,<\/span> s1<span class=\"synSpecial\">,<\/span> N2<span class=\"synSpecial\">,<\/span> X2bar<span class=\"synSpecial\">,<\/span> s2<span class=\"synSpecial\">,<\/span>\nalternative<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"two.sided\"<\/span><span class=\"synSpecial\">,<\/span><span class=\"synConstant\">\"one.sided\"<\/span><span class=\"synSpecial\">))<\/span>\n<span class=\"synSpecial\">{<\/span>\ndata.name <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sprintf<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"<\/span><span class=\"synSpecial\">\\n<\/span><span class=\"synConstant\">N1=%s, X1bar=%s, SD1=%s<\/span><span class=\"synSpecial\">\\n<\/span><span class=\"synConstant\">N2=%s, X2bar=%s, SD2=%s\"<\/span><span class=\"synSpecial\">,<\/span> N1<span class=\"synSpecial\">,<\/span>X1bar<span class=\"synSpecial\">,<\/span>s1<span class=\"synSpecial\">,<\/span>N2<span class=\"synSpecial\">,<\/span>X2bar<span class=\"synSpecial\">,<\/span>s2<span class=\"synSpecial\">)<\/span>\nalternative <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">match.arg<\/span><span class=\"synSpecial\">(<\/span>alternative<span class=\"synSpecial\">)<\/span>\ntside <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">switch<\/span><span class=\"synSpecial\">(<\/span>alternative<span class=\"synSpecial\">,<\/span> one.sided<span class=\"synStatement\">=<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">,<\/span> two.sided<span class=\"synStatement\">=<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span>\nestimate <span class=\"synStatement\">&lt;-<\/span> X1bar<span class=\"synStatement\">-<\/span>X2bar\ntstat <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">abs<\/span><span class=\"synSpecial\">(<\/span>estimate<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span>s1<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span>N1<span class=\"synStatement\">+<\/span>s2<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span>N2<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>tstat<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"t\"<\/span>\ndf<span class=\"synStatement\">&lt;-<\/span><span class=\"synSpecial\">(<\/span>s1<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span>N1<span class=\"synStatement\">+<\/span>s2<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span>N2<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>s1<span class=\"synStatement\">^<\/span><span class=\"synConstant\">4<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>N1<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>N1<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">))<\/span><span class=\"synStatement\">+<\/span>s2<span class=\"synStatement\">^<\/span><span class=\"synConstant\">4<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>N2<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>N2<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)))<\/span>\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>df<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"df\"<\/span>\npval <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">pt<\/span><span class=\"synSpecial\">(<\/span>q<span class=\"synStatement\">=<\/span>tstat<span class=\"synSpecial\">,<\/span> lower.tail<span class=\"synStatement\">=<\/span><span class=\"synConstant\">F<\/span><span class=\"synSpecial\">,<\/span> df<span class=\"synStatement\">=<\/span>df<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span>tside\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Welch t-test\"<\/span>\n<span class=\"synIdentifier\">structure<\/span><span class=\"synSpecial\">(<\/span><span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span>statistic<span class=\"synStatement\">=<\/span>tstat<span class=\"synSpecial\">,<\/span> parameter<span class=\"synStatement\">=<\/span>df<span class=\"synSpecial\">,<\/span>  p.value<span class=\"synStatement\">=<\/span>pval<span class=\"synSpecial\">,<\/span>\nestimate<span class=\"synStatement\">=<\/span>estimate<span class=\"synSpecial\">,<\/span>  alternative<span class=\"synStatement\">=<\/span>alternative<span class=\"synSpecial\">,<\/span> data.name<span class=\"synStatement\">=<\/span>data.name<span class=\"synSpecial\">,<\/span>\nmethod<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">),<\/span> class<span class=\"synStatement\">=<\/span><span class=\"synConstant\">\"htest\"<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u30b0\u30eb\u30fc\u30d71\u3068\u30b0\u30eb\u30fc\u30d72\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3001\u5e73\u5747\u5024\u3001\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X1 <span class=\"synStatement\">&lt;-<\/span><span class=\"synIdentifier\">seq<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">:<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">3<\/span>\n<span class=\"synSpecial\">(<\/span>N1 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">length<\/span><span class=\"synSpecial\">(<\/span>X1<span class=\"synSpecial\">))<\/span>\n<span class=\"synSpecial\">(<\/span>X1bar <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">mean<\/span><span class=\"synSpecial\">(<\/span>X1<span class=\"synSpecial\">))<\/span>\n<span class=\"synSpecial\">(<\/span>s1 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sd<\/span><span class=\"synSpecial\">(<\/span>X1<span class=\"synSpecial\">))<\/span>\nX2 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">seq<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">:<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synConstant\">3<\/span>\n<span class=\"synSpecial\">(<\/span>N2 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">length<\/span><span class=\"synSpecial\">(<\/span>X2<span class=\"synSpecial\">))<\/span>\n<span class=\"synSpecial\">(<\/span>X2bar <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">mean<\/span><span class=\"synSpecial\">(<\/span>X2<span class=\"synSpecial\">))<\/span>\n<span class=\"synSpecial\">(<\/span>s2 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sd<\/span><span class=\"synSpecial\">(<\/span>X2<span class=\"synSpecial\">))<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u3055\u304d\u307b\u3069\u4f5c\u3063\u305f\u95a2\u6570\u306b\u4ee3\u5165\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">welch.t.test<\/span><span class=\"synSpecial\">(<\/span>N1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X1bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9<\/span><span class=\"synSpecial\">,<\/span> s1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">3.316625<\/span><span class=\"synSpecial\">,<\/span> N2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X2bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">18<\/span><span class=\"synSpecial\">,<\/span> s2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949874<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306ft.test()\u3068\u540c\u3058\u7d50\u679c\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">welch.t.test<\/span><span class=\"synSpecial\">(<\/span>N1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X1bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9<\/span><span class=\"synSpecial\">,<\/span> s1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">3.316625<\/span><span class=\"synSpecial\">,<\/span> N2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X2bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">18<\/span><span class=\"synSpecial\">,<\/span> s2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949874<\/span><span class=\"synSpecial\">)<\/span>\nWelch t<span class=\"synStatement\">-<\/span>test\ndata<span class=\"synSpecial\">:<\/span>\nN1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X1bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9<\/span><span class=\"synSpecial\">,<\/span> SD1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">3.316625<\/span>\nN2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X2bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">18<\/span><span class=\"synSpecial\">,<\/span> SD2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949874<\/span>\nt <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2.846<\/span><span class=\"synSpecial\">,<\/span> df <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">12.195<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.01453<\/span>\nalternative hypothesis<span class=\"synSpecial\">:<\/span> two.sided\nsample estimates<span class=\"synSpecial\">:<\/span>\n<span class=\"synSpecial\">&#91;<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">]<\/span> <span class=\"synStatement\">-<\/span><span class=\"synConstant\">9<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u4e00\u4eba\u4e00\u4eba\u306e\u30c7\u30fc\u30bf\u304c\u3042\u308b\u5834\u5408\u306f\u3001t.test()\u3092\u4f7f\u3048\u3070\u3088\u3044\u304c\u3001\u4eba\u6570\u3001\u5e73\u5747\u5024\u3001\u6a19\u6e96\u504f\u5dee\u3060\u3051\u304c\u5f97\u3089\u308c\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u4eca\u56de\u81ea\u4f5c\u306e\u95a2\u6570\u3092\u4f7f\u3046\u3068\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u5148\u884c\u7814\u7a76\u304b\u3089\u4eba\u6570\u3001\u5e73\u5747\u5024\u3001\u6a19\u6e96\u504f\u5dee\u3068\u3044\u3046\u8981\u7d04\u5024\u3057\u304b\u5f97\u3089\u308c\u306a\u3044\u5834\u5408\u306b\u3069\u3093\u306a\u6761\u4ef6\u3067\u3042\u308c\u3070\u3001\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u306b\u306a\u308b\u304b\u306a\u3069\u3092\u691c\u8a0e\u3059\u308b\u969b\u306b\u5f79\u7acb\u3064\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u30b0\u30eb\u30fc\u30d71\u306e\u6a19\u6e96\u504f\u5dee\u304c3\u500d\uff08\u3064\u307e\u308a\u540c\u3058\uff09\u306b\u306a\u3063\u305f\u3089\u3001\u3069\u3046\u306a\u308b\u304b\uff1f<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">welch.t.test<\/span><span class=\"synSpecial\">(<\/span>N1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X1bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9<\/span><span class=\"synSpecial\">,<\/span> s1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">3.316625<\/span><span class=\"synStatement\">*<\/span><span class=\"synConstant\">3<\/span><span class=\"synSpecial\">,<\/span> N2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X2bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">18<\/span><span class=\"synSpecial\">,<\/span> s2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949874<\/span><span class=\"synSpecial\">)<\/span>\nWelch t<span class=\"synStatement\">-<\/span>test\ndata<span class=\"synSpecial\">:<\/span>\nN1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X1bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9<\/span><span class=\"synSpecial\">,<\/span> SD1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949875<\/span>\nN2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">11<\/span><span class=\"synSpecial\">,<\/span> X2bar<span class=\"synStatement\">=<\/span><span class=\"synConstant\">18<\/span><span class=\"synSpecial\">,<\/span> SD2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">9.949874<\/span>\nt <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2.1213<\/span><span class=\"synSpecial\">,<\/span> df <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">20<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.04658<\/span>\nalternative hypothesis<span class=\"synSpecial\">:<\/span> two.sided\nsample estimates<span class=\"synSpecial\">:<\/span>\n<span class=\"synSpecial\">&#91;<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">]<\/span> <span class=\"synStatement\">-<\/span><span class=\"synConstant\">9<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u5148\u307b\u3069\u306b\u6bd4\u3079\u3001p\u5024\u304c3\u500d\u4ee5\u4e0a\u306b\u306a\u3063\u3066\u3044\u3066\u30010.05\u8fd1\u304f\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u7c21\u5358\u306b\u67b6\u7a7a\u306e\u6761\u4ef6\u3067\u306e\u7d50\u679c\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u969b\u306b\u5f79\u306b\u7acb\u3064\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\u3092-SPSS-\u3067\u3082\u5b9f\u884c\u3057\u3066\u307f\u308b\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092 SPSS \u3067\u3082\u5b9f\u884c\u3057\u3066\u307f\u308b<\/h2>\n\n\n\n<p>SPSS\u3067\u3082\u8a08\u7b97\u3057\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<p>SPSS\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u30b0\u30eb\u30fc\u30d7\u3092\u7e26\u65b9\u5411\u306b\u7a4d\u307f\u91cd\u306d\u3066\u4e26\u3079\u306a\u3044\u3068\u8a08\u7b97\u3067\u304d\u306a\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full figure-image figure-image-fotolife\"><img decoding=\"async\" width=\"225\" height=\"474\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201758.png\" alt=\"\" class=\"wp-image-2373\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201758.png 225w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201758-142x300.png 142w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><\/figure>\n\n\n\n<p>\u691c\u5b9a\u5909\u6570\u306b\u76ee\u7684\u5909\u6570X\u3092\u5165\u308c\u3066\u3001\u30b0\u30eb\u30fc\u30d7\u5909\u6570\u306bgroup\u3092\u5165\u308c\u3001\u30b0\u30eb\u30fc\u30d7\uff11\u3068\uff12\u3092\u8a8d\u8b58\u3055\u305b\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"687\" height=\"341\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201856.png\" alt=\"\" class=\"wp-image-2374\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201856.png 687w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201856-300x149.png 300w\" sizes=\"(max-width: 687px) 100vw, 687px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>OK\u3092\u30af\u30ea\u30c3\u30af\u3059\u308b\u3068\u7d50\u679c\u304c\u51fa\u529b\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u30b0\u30eb\u30fc\u30d7\u3054\u3068\u306e\u7d71\u8a08\u91cf\u304c\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full figure-image figure-image-fotolife\"><img decoding=\"async\" width=\"413\" height=\"111\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201928.png\" alt=\"\" class=\"wp-image-2375\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201928.png 413w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316201928-300x81.png 300w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><\/figure>\n\n\n\n<p>\u72ec\u7acb\u30b5\u30f3\u30d7\u30eb\u306e\u691c\u5b9a\u306e\u9805\u306b\u3001\u691c\u5b9a\u7d50\u679c\u304c\u8868\u793a\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"944\" height=\"134\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202102.png\" alt=\"\" class=\"wp-image-2376\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202102.png 944w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202102-300x43.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202102-768x109.png 768w\" sizes=\"(max-width: 944px) 100vw, 944px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u7b49\u5206\u6563\u3092\u4eee\u5b9a\u3057\u306a\u3044\u3068\u3044\u3046\u884c\u304c\u30a6\u30a7\u30eb\u30c1\u306e\u691c\u5b9a\u306e\u7d50\u679c\u3060\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u8981\u7d04\u306e t \u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u307f\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"495\" height=\"612\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202305.png\" alt=\"\" class=\"wp-image-2377\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202305.png 495w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202305-243x300.png 243w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u8981\u7d04\u5024\uff08\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3001\u5e73\u5747\u5024\u3068\u6a19\u6e96\u504f\u5dee\uff09\u3092\u5165\u529b\u3059\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"595\" height=\"414\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202447.png\" alt=\"\" class=\"wp-image-2378\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202447.png 595w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202447-300x209.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u7d50\u679c\u306fR\u306et.test()\u3068\u540c\u3058\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"529\" height=\"111\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202606.png\" alt=\"\" class=\"wp-image-2379\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202606.png 529w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202606-300x63.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u5dee\u306e95\uff05\u4fe1\u983c\u533a\u9593\u306f\u3001\u6b63\u78ba\u78ba\u7387\u3067\u4e0d\u7b49\u5206\u6563\u306e\u884c\u306e\u7d50\u679c\u304c R \u306e\u7d50\u679c\u3068\u4e00\u81f4\u3057\u3066\u3044\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"270\" height=\"137\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2020\/05\/20220316202715.png\" alt=\"\" class=\"wp-image-2380\" title=\"\"\/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u5e73\u5747\u5024\u306e\u5dee\u306e\u691c\u5b9a\u3001\u3044\u308f\u3086\u308b t \u691c\u5b9a\u306f\u3001\u3044\u3064\u3067\u3082\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u884c\u3048\u3070\u3088\u3044\u3002<\/p>\n\n\n\n<p>\u7b49\u5206\u6563\u304b\u3069\u3046\u304b\u306f\u6c17\u306b\u3057\u306a\u304f\u3066\u3088\u3044\u3002<\/p>\n\n\n\n<p>R \u3067\u306ft.test()\u3092\u4f7f\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u30b5\u30a4\u30c8\">\u53c2\u8003\u30b5\u30a4\u30c8<\/h2>\n\n\n\n<p><a href=\"http:\/\/aoki2.si.gunma-u.ac.jp\/R\/my-t-test.html\">http:\/\/aoki2.si.gunma-u.ac.jp\/R\/my-t-test.html<\/a><\/p>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306f\u30012 \u7fa4\u304c\u7b49\u5206\u6563\u3067\u3082\u7b49\u5206\u6563\u3067\u306a\u304f\u3066\u3082\u4f7f\u3048\u308b t \u691c\u5b9a R \u3068 SPSS \u3067\u306e\u5b9f\u884c\u65b9\u6cd5<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[5,13,35],"tags":[],"class_list":["post-404","post","type-post","status-publish","format-standard","hentry","category-r","category-spss","category-t-"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/404","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=404"}],"version-history":[{"count":1,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/404\/revisions"}],"predecessor-version":[{"id":2381,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/404\/revisions\/2381"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=404"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=404"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=404"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}