{"id":304,"date":"2023-08-02T18:50:10","date_gmt":"2023-08-02T18:50:10","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e5%88%86%e6%9e%90\/"},"modified":"2023-08-02T18:50:10","modified_gmt":"2023-08-02T18:50:10","slug":"%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e5%88%86%e6%9e%90\/","title":{"rendered":"\u5206\u6563\u5206\u6790 (anova)"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u5206\u6563\u5206\u6790 (ANOVA \u3068\u3082\u547c\u3070\u308c\u307e\u3059) \u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3042\u308b\u304b\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u5206\u6790\u3092\u884c\u3046\u65b9\u6cd5\u3001ANOVA \u8868\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3092\u5b66\u7fd2\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u5c0a\u91cd\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u4e8b\u524d\u306e\u4eee\u5b9a\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u6700\u5f8c\u306b\u3001ANOVA \u5206\u6790\u306e\u9577\u6240\u3068\u77ed\u6240\u306f\u4f55\u304b\u3092\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-analisis-de-la-varianza-anova\"><\/span>\u5206\u6563\u5206\u6790 (ANOVA) \u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b<strong>\u5206\u6563\u5206\u6790\u306f<\/strong>\u3001 <strong>ANOVA<\/strong> (\u5206\u6563\u5206\u6790) \u3068\u3082\u547c\u3070\u308c\u3001\u7570\u306a\u308b\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u9593\u306e\u5206\u6563\u3092\u6bd4\u8f03\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002<\/p>\n<p>\u5206\u6563\u5206\u6790 (ANOVA) \u306f\u30012 \u3064\u4ee5\u4e0a\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u9593\u306b\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u5206\u6790\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u9593\u306e\u3070\u3089\u3064\u304d\u3092\u5206\u6790\u3059\u308b\u3053\u3068\u3067\u30012 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u6bcd\u96c6\u56e3\u5e73\u5747\u304c\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u5206\u6790\u306e\u5e30\u7121\u4eee\u8aac\u306f\u3001\u5206\u6790\u3055\u308c\u308b\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u304c\u7b49\u3057\u3044\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001\u5bfe\u7acb\u4eee\u8aac\u3067\u306f\u3001\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u624b\u6bb5\u304c\u7570\u306a\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6918550a8ad2954432ea33e07c7b83d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu_1=\\mu_2=\\ldots=\\mu_k=\\mu\\\\[2ex]H_1: \\exists \\mu_i\\neq \\mu \\quad i=1,2,\\ldots, k\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"232\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u5206\u6790\u306f\u30012 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u306b\u7279\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u3053\u306e\u30bf\u30a4\u30d7\u306e\u5206\u6790\u3067\u306f\u3001\u5e73\u5747\u3092\u30da\u30a2\u3067\u6bd4\u8f03\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u540c\u6642\u306b\u8abf\u67fb\u3067\u304d\u308b\u305f\u3081\u3067\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u5206\u6563\u5206\u6790\u306e\u30e1\u30ea\u30c3\u30c8\u3068\u30c7\u30e1\u30ea\u30c3\u30c8\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-anova\"><\/span>\u5206\u6563\u5206\u6790\u30c6\u30fc\u30d6\u30eb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u5206\u6790\u306f\u3001 <strong>ANOVA \u8868<\/strong>\u3068\u547c\u3070\u308c\u308b\u8868\u306b\u307e\u3068\u3081\u3089\u308c\u307e\u3059\u3002\u305d\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tableau-anova-formules-.png\" alt=\"\u5206\u6563\u5206\u6790\u307e\u305f\u306f ANOVA \u5f0f\" class=\"wp-image-6387\" width=\"664\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba i \u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5206\u6563\u5206\u6790\u306b\u304a\u3051\u308b\u7570\u306a\u308b\u30b0\u30eb\u30fc\u30d7\u306e\u6570\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-393bb0c333649c80fe6365339bc42b38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u306f\u30b0\u30eb\u30fc\u30d7 i \u306e\u5024 j \u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8effb66cfe7466ba329c455ccb9289f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_{i}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u30b0\u30eb\u30fc\u30d7 i \u306e\u5e73\u5747\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ed5becac4ccb36fec040f449ba9fa52d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3053\u308c\u306f\u3001\u3059\u3079\u3066\u306e\u5206\u6790\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3067\u3059\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-un-analisis-de-la-varianza-anova\"><\/span>\u5206\u6563\u5206\u6790 (ANOVA) \u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>ANOVA \u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u306b\u306f\u3001\u4f8b\u3092\u6bb5\u968e\u7684\u306b\u89e3\u3044\u3066\u5206\u6563\u5206\u6790\u3092\u884c\u3046\u65b9\u6cd5\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li> 3 \u3064\u306e\u7570\u306a\u308b\u79d1\u76ee (A\u3001B\u3001C) \u3067 4 \u4eba\u306e\u5b66\u751f\u304c\u53d6\u5f97\u3057\u305f\u30b9\u30b3\u30a2\u3092\u6bd4\u8f03\u3059\u308b\u7d71\u8a08\u8abf\u67fb\u304c\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002\u6b21\u306e\u8868\u306f\u3001\u30c6\u30b9\u30c8\u3067\u5404\u751f\u5f92\u304c\u53d6\u5f97\u3057\u305f\u30b9\u30b3\u30a2\u306e\u8a73\u7d30\u3092\u793a\u3057\u3066\u3044\u307e\u3059 (\u6700\u5927\u30b9\u30b3\u30a2\u306f 20)\u3002\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3057\u3066\u3001\u5404\u79d1\u76ee\u3067\u5404\u751f\u5f92\u304c\u53d6\u5f97\u3057\u305f\u30b9\u30b3\u30a2\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-anova-donnees.png\" alt=\"\" class=\"wp-image-6389\" width=\"471\" height=\"205\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u306e\u5206\u6563\u5206\u6790\u306e\u5e30\u7121\u4eee\u8aac\u306f\u30013 \u4eba\u306e\u88ab\u9a13\u8005\u306e\u30b9\u30b3\u30a2\u306e\u5e73\u5747\u304c\u7b49\u3057\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u4e00\u65b9\u3001\u5e30\u7121\u4eee\u8aac\u306f\u3001\u3053\u308c\u3089\u306e\u5e73\u5747\u5024\u306e\u4e00\u90e8\u304c\u7570\u306a\u308b\u3068\u3044\u3046\u3082\u306e\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d1587da405a54d6a2bae626989b04562_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu_A=\\mu_B=\\mu_C=\\mu\\\\[2ex]H_1: \\exists \\mu_i\\neq \\mu \\quad i=A, B, C\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5404\u88ab\u9a13\u8005\u306e\u5e73\u5747\u3068\u30c7\u30fc\u30bf\u306e\u5408\u8a08\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-792e2e662519db421d0c9c4d7f831282_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_A=\\cfrac{14+12+14+10}{4}=12,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"239\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ace3ea8d1e0ce91dafdf4b5458e9760a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_B=\\cfrac{13+14+10+14}{4}=12,75\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d2781ad166914d48b6d458fe8e326f7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}_C=\\cfrac{19+17+16+19}{4}=17,75\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"249\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-26caf7f83546e9112594e6886e8dccae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}=\\cfrac{14+12+14+10+13+14+10+14+19+17+16+19}{12}=14,33\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"553\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5e73\u5747\u5024\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u4e0a\u8a18\u306e\u5206\u6563\u5206\u6790 (ANOVA) \u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5e73\u65b9\u548c\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-77b3fecdc3b577841da684cd80297288_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_F&amp;=\\sum_{i=1}^k n_i(\\overline{y}_i-\\overline{y})^2\\\\[2ex] SS_F&amp;= 4\\cdot (12,5-14,33)^2+4\\cdot (12,75-14,33)^2+4\\cdot (17,75-14,33)^2\\\\[2ex] SS_F&amp;=70,17\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"546\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-aa02f1b826df45c26ead3537ecc4c7e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_E=&amp;\\sum_{i=1}^k\\sum_{j=1}^{n_i} (y_{ij}-\\overline{y}_i)^2\\\\[2ex] \\displaystyle SS_E=\\ &amp;(14-12,5)^2+(12-12,5)^2+(14-12,5)^2+(10-12,5)^2+\\\\&amp;+(13-12,75)^2+(14-12,75)^2+(10-12,75)^2+(14-12,75)^2+\\\\&amp;+(19-17,75)^2+(17-17,75)^2+(16-17,75)^2+(19-17,75)^2\\\\[2ex] SS_E=\\ &amp;28,50\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"198\" width=\"575\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2eb66d1d37653749f38916c905108a3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle SS_T=&amp;\\sum_{i=1}^k\\sum_{j=1}^{n_i} (y_{ij}-\\overline{y})^2\\\\[2ex] \\displaystyle SS_T= \\ &amp;(14-14,33)^2+(12-14,33)^2+(14-14,33)^2+(10-14,33)^2+\\\\&amp;+(13-14,33)^2+(14-14,33)^2+(10-14,33)^2+(14-14,33)^2+\\\\&amp;+(19-14,33)^2+(17-14,33)^2+(16-14,33)^2+(19-14,33)^2\\\\[2ex] SS_T= \\ &amp;98,67\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"198\" width=\"575\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b21\u306b\u3001\u56e0\u5b50\u3001\u8aa4\u5dee\u3001\u5408\u8a08\u306e\u81ea\u7531\u5ea6\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-481e16a2bd9b99bcd934aa0b6e3bdce7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_F=k-1=3-1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"196\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6c71951c1e79cb2368b941b79387fe82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_E=N-k=12-3=9\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"213\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c62813e7a06bfd423af43109bfb508d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"GL_F=N-1=12-1=11\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"220\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u56e0\u5b50\u3068\u8aa4\u5dee\u306e\u4e8c\u4e57\u548c\u3092\u305d\u308c\u305e\u308c\u306e\u81ea\u7531\u5ea6\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5e73\u5747\u4e8c\u4e57\u8aa4\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-477d73197865e6166394e3d20732b237_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MSE_F=\\cfrac{SS_F}{GL_F}=\\cfrac{70,17}{2}=35,08\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"255\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5b4e07b9ec4135498762b5dbc0f173e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MSE_R=\\cfrac{SS_R}{GL_R}=\\cfrac{28,50}{9}=3,17\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"245\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u8a08\u7b97\u3055\u308c\u305f 2 \u3064\u306e\u8aa4\u5dee\u3092\u9664\u7b97\u3057\u3066\u3001F \u7d71\u8a08\u91cf\u306e\u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4a30a3a61861deb9f53bd1cfcdb0b664_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{MSE_F}{MSE_R}=\\cfrac{35,09}{3,17}=11,08\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u3064\u307e\u308a\u3001\u30b5\u30f3\u30d7\u30eb \u30c7\u30fc\u30bf\u306e ANOVA \u30c6\u30fc\u30d6\u30eb\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-anova-exemple.png\" alt=\"\u5206\u6563\u5206\u6790\uff08ANOVA\uff09\u306e\u4f8b\" class=\"wp-image-6408\" width=\"726\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> ANOVA \u8868\u306e\u3059\u3079\u3066\u306e\u5024\u304c\u8a08\u7b97\u3055\u308c\u305f\u3089\u3001\u3042\u3068\u306f\u5f97\u3089\u308c\u305f\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u3060\u3051\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5bfe\u5fdc\u3059\u308b\u81ea\u7531\u5ea6\u3092\u6301\u3064 Snedecor F \u5206\u5e03\u3067 F \u7d71\u8a08\u91cf\u3088\u308a\u5927\u304d\u3044\u5024\u3092\u53d6\u5f97\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u691c\u5b9a\u306e p \u5024\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b706e5d710c3919d145399dc9d8efca5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[F>11,08]=0,004&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;18&#8243; width=&#8221;172&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u610f\u6c34\u6e96 \u03b1=0.05 (\u6700\u3082\u4e00\u822c\u7684) \u3092\u63a1\u7528\u3059\u308b\u5834\u5408\u3001\u691c\u5b9a\u306e p \u5024\u304c\u6709\u610f\u6c34\u6e96\u3088\u308a\u3082\u4f4e\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u5bfe\u7acb\u4eee\u8aac\u3092\u53d7\u3051\u5165\u308c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u306f\u3001\u7814\u7a76\u3055\u308c\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u306e\u5c11\u306a\u304f\u3068\u3082\u4e00\u90e8\u304c\u4ed6\u306e\u3082\u306e\u3068\u306f\u7570\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-df22e22716e8cfbb1ab37d5e3e74fc9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,004 < 0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\text{Se rechaza } H_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"346\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u73fe\u5728\u3001\u308f\u305a\u304b\u6570\u79d2\u3067\u5206\u6563\u5206\u6790\u3092\u5b9f\u884c\u3067\u304d\u308b\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc \u30d7\u30ed\u30b0\u30e9\u30e0\u304c\u3044\u304f\u3064\u304b\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u305f\u3060\u3057\u3001\u8a08\u7b97\u306e\u80cc\u5f8c\u306b\u3042\u308b\u7406\u8ad6\u3092\u77e5\u308b\u3053\u3068\u3082\u91cd\u8981\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"supuestos-del-analisis-de-la-varianza-anova\"><\/span>\u5206\u6563\u5206\u6790 (ANOVA) \u306e\u4eee\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u5206\u6790 (ANOVA) \u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u72ec\u7acb\u6027<\/strong>: \u89b3\u6e2c\u5024\u306f\u4e92\u3044\u306b\u72ec\u7acb\u3057\u3066\u3044\u307e\u3059\u3002\u89b3\u6e2c\u5024\u306e\u72ec\u7acb\u6027\u3092\u78ba\u4fdd\u3059\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0 \u30d7\u30ed\u30bb\u30b9\u306b\u30e9\u30f3\u30c0\u30e0\u6027\u3092\u8ffd\u52a0\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5747\u4e00\u5206\u6563\u6027<\/strong>: \u5206\u6563\u306b\u306f\u5747\u4e00\u6027\u304c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001\u6b8b\u5dee\u306e\u5909\u52d5\u6027\u306f\u4e00\u5b9a\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6b63\u898f\u6027<\/strong>: \u6b8b\u5dee\u306f\u6b63\u898f\u5206\u5e03\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u9023\u7d9a\u6027<\/strong>: \u5f93\u5c5e\u5909\u6570\u306f\u9023\u7d9a\u7684\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-analisis-de-la-varianza-anova\"><\/span>\u5206\u6563\u5206\u6790 (ANOVA) \u306e\u7a2e\u985e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5206\u6563\u5206\u6790 (ANOVA) \u306b\u306f 3 \u3064\u306e\u30bf\u30a4\u30d7\u304c<\/strong>\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e00\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790 (\u4e00\u5143\u914d\u7f6e ANOVA)<\/strong> : \u5206\u6563\u5206\u6790\u3067\u306f\u3001\u56e0\u5b50\u306f 1 \u3064\u3060\u3051\u3001\u3064\u307e\u308a\u72ec\u7acb\u5909\u6570\u306f 1 \u3064\u3060\u3051\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790 (\u4e8c\u5143\u914d\u7f6e ANOVA)<\/strong> : \u5206\u6563\u5206\u6790\u306b\u306f 2 \u3064\u306e\u56e0\u5b50\u304c\u3042\u308b\u305f\u3081\u30012 \u3064\u306e\u72ec\u7acb\u5909\u6570\u3068\u305d\u308c\u3089\u306e\u9593\u306e\u4ea4\u4e92\u4f5c\u7528\u304c\u5206\u6790\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u591a\u5909\u91cf\u5206\u6563\u5206\u6790 (MANOVA)<\/strong> : \u5206\u6563\u5206\u6790\u3067\u306f\u3001\u8907\u6570\u306e\u5f93\u5c5e\u5909\u6570\u304c\u5b58\u5728\u3057\u307e\u3059\u3002\u76ee\u7684\u306f\u3001\u5f93\u5c5e\u5909\u6570\u304c\u5909\u5316\u3057\u305f\u3068\u304d\u306b\u72ec\u7acb\u5909\u6570\u306e\u5024\u304c\u5909\u5316\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ventajas-y-desventajas-del-analisis-de-la-varianza-anova\"><\/span>\u5206\u6563\u5206\u6790 (ANOVA) \u306e\u9577\u6240\u3068\u77ed\u6240<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u5206\u6563\u5206\u6790\u3092\u4f7f\u7528\u3059\u308b\u306e\u304c\u9069\u5207\u306a\u5834\u5408\u3068\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u7d71\u8a08\u5206\u6790\u306e\u9650\u754c\u306f\u4f55\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u5206\u6563\u5206\u6790 (ANOVA) \u306e\u4e3b\u306a\u5229\u70b9\u306f\u30013 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u540c\u6642\u306b\u6bd4\u8f03\u3067\u304d\u308b\u3053\u3068\u3067\u3059\u3002 1 \u3064\u307e\u305f\u306f 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u3057\u304b\u5206\u6790\u3067\u304d\u306a\u3044<a href=\"https:\/\/statorials.org\/ja\/\u5b66\u751f\u306et\u691c\u5b9a\/\">t \u691c\u5b9a<\/a>\u3068\u306f\u7570\u306a\u308a\u3001\u5206\u6563\u5206\u6790\u306f\u8907\u6570\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u304c\u540c\u3058\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u5206\u6563\u5206\u6790\u3067\u306f\u3001\u3069\u306e\u7814\u7a76\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u304c\u7570\u306a\u308b\u304b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u6709\u610f\u306b\u7570\u306a\u308b\u5e73\u5747\u5024\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3001\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u5e73\u5747\u5024\u304c\u985e\u4f3c\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u306e\u307f\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u540c\u69d8\u306b\u3001\u5206\u6563\u5206\u6790\u306e\u3082\u3046 1 \u3064\u306e\u6b20\u70b9\u306f\u3001ANOVA \u5206\u6790\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u4ee5\u524d\u306e 4 \u3064\u306e\u4eee\u5b9a (\u4e0a\u8a18\u3092\u53c2\u7167) \u304c\u6e80\u305f\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3053\u3068\u3067\u3059\u3002\u305d\u3046\u3067\u306a\u3044\u3068\u3001\u5c0e\u304d\u51fa\u3055\u308c\u308b\u7d50\u8ad6\u304c\u9593\u9055\u3063\u3066\u3044\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7d71\u8a08\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u3053\u308c\u3089 4 \u3064\u306e\u8981\u4ef6\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u5e38\u306b\u691c\u8a3c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u5206\u6563\u5206\u6790 (ANOVA \u3068\u3082\u547c\u3070\u308c\u307e\u3059) 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