{"id":218,"date":"2023-08-04T00:57:07","date_gmt":"2023-08-04T00:57:07","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%b9%e3%83%8d%e3%83%86%e3%82%99%e3%82%b3%e3%83%bc%e3%83%ab%e3%81%ae%e5%88%86%e5%b8%83-f\/"},"modified":"2023-08-04T00:57:07","modified_gmt":"2023-08-04T00:57:07","slug":"%e3%82%b9%e3%83%8d%e3%83%86%e3%82%99%e3%82%b3%e3%83%bc%e3%83%ab%e3%81%ae%e5%88%86%e5%b8%83-f","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%b9%e3%83%8d%e3%83%86%e3%82%99%e3%82%b3%e3%83%bc%e3%83%ab%e3%81%ae%e5%88%86%e5%b8%83-f\/","title":{"rendered":"\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb f \u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001Snedecor F \u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u7528\u9014\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001Snedecor F \u5206\u5e03\u30b0\u30e9\u30d5\u3068\u305d\u306e\u7d71\u8a08\u7684\u7279\u6027\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-f-de-snedecor\"><\/span>\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03 \u306f<\/strong>\u3001<strong>\u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u30fb\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03<\/strong>\u307e\u305f\u306f\u5358\u306b<strong>F \u5206\u5e03<\/strong>\u3068\u3082\u547c\u3070\u308c\u3001\u7d71\u8a08\u7684\u63a8\u8ad6\u3001\u7279\u306b\u5206\u6563\u5206\u6790\u3067\u4f7f\u7528\u3055\u308c\u308b\u9023\u7d9a\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p> Snedecor F \u5206\u5e03\u306e\u7279\u6027\u306e 1 \u3064\u306f\u3001\u81ea\u7531\u5ea6\u3092\u793a\u3059 2 \u3064\u306e\u5b9f\u6570\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m<\/em>\u3068<em>n<\/em>\u306e\u5024\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u3053\u3068\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001Snedecor \u5206\u5e03 F \u306e\u30b7\u30f3\u30dc\u30eb\u306f<em>F <sub>m,n<\/sub><\/em>\u3067\u3059\u3002\u3053\u3053\u3067\u3001 <em>m<\/em>\u3068<em>n<\/em>\u306f\u5206\u5e03\u3092\u5b9a\u7fa9\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\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-b6126a79c671267450b6523ca16b4a92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_{m,n}\\qquad m,n>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;18&#8243; width=&#8221;139&#8243; style=&#8221;vertical-align: -6px;&#8221;><\/p>\n<\/p>\n<p>\u6570\u5b66\u7684\u306b\u306f\u3001Snedecor F \u5206\u5e03\u306f\u30011 \u3064\u306e\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u3068\u305d\u306e\u81ea\u7531\u5ea6\u306e\u9593\u306e\u5546\u3092\u3001\u5225\u306e\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u3068\u305d\u306e\u81ea\u7531\u5ea6\u306e\u9593\u306e\u5546\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001Snedecor F \u5206\u5e03\u3092\u5b9a\u7fa9\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-d407869e61ca4357ffbcb40df3bd83ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} X\\sim \\chi_m^2\\\\[2ex] Y\\sim \\chi_n^2\\end{array}\\right\\}\\color{orange}\\bm{\\longrightarrow}\\color{black}\\ F_{m,n}= \\cfrac{X\/m}{Y\/n}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"322\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\/\">\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><\/div>\n<p>\u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u30fb\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03\u306e\u540d\u524d\u306f\u3001\u30a4\u30ae\u30ea\u30b9\u306e\u7d71\u8a08\u5b66\u8005\u30ed\u30ca\u30eb\u30c9 \u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u3068\u30a2\u30e1\u30ea\u30ab\u306e\u7d71\u8a08\u5b66\u8005\u30b8\u30e7\u30fc\u30b8 \u30b9\u30cd\u30c7\u30b3\u30fc\u30eb\u306b\u7531\u6765\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u3067\u306f\u3001Fisher-Snedecor F \u5206\u5e03\u306f\u3055\u307e\u3056\u307e\u306a\u7528\u9014\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001Fisher-Snedecor F \u5206\u5e03\u306f\u3055\u307e\u3056\u307e\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u3001\u3053\u306e\u78ba\u7387\u5206\u5e03\u306f\u5206\u6563\u5206\u6790 (ANOVA) \u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-f-de-snedecor\"><\/span>\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03\u56f3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Snedecor F \u5206\u5e03\u306e\u5b9a\u7fa9\u3092\u78ba\u8a8d\u3057\u305f\u3089\u3001\u305d\u306e\u5bc6\u5ea6\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3068\u7d2f\u7a4d\u78ba\u7387\u306e\u30b0\u30e9\u30d5\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u81ea\u7531\u5ea6\u3092\u6301\u3064 Snedecor F \u5206\u5e03\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u308b\u3053\u3068\u304c\u3067\u304d\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\/graphique-de-distribution-f-de-snedecor.png\" alt=\"\u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03\u30b0\u30e9\u30d5\" class=\"wp-image-4375\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4e00\u65b9\u3001\u4ee5\u4e0b\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001Snedecor F \u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u7279\u6027\u5024\u306b\u5fdc\u3058\u3066\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u304c\u308f\u304b\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\/distribution-f-de-snedecor-probabilite-cumulative.png\" alt=\"Snedecor F \u5206\u5e03\u306e\u7d2f\u7a4d\u78ba\u7387\" class=\"wp-image-4377\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-f-de-snedecor\"><\/span> Snedecor F \u5206\u5e03\u306e\u7279\u5fb4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u5f8c\u306b\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001Snedecor F \u5206\u5e03\u306e\u6700\u3082\u91cd\u8981\u306a\u7279\u6027\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li> Snedecor F \u5206\u5e03\u306e\u81ea\u7531\u5ea6<em>m<\/em>\u3068<em>n<\/em>\u306f\u3001\u5206\u5e03\u306e\u5f62\u72b6\u3092\u5b9a\u7fa9\u3059\u308b 2 \u3064\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3067\u3059\u3002 Snedecor F \u5206\u5e03\u306e\u3053\u308c\u3089\u306e\u7279\u6027\u5024\u306f\u6b63\u306e\u6574\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-043df156b055e7088fa83fe733825632_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}m,n \\in \\mathbb{Z}\\\\[2ex] m,n>0\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;54&#8243; width=&#8221;68&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Snedecor F \u5206\u5e03\u306e\u9818\u57df\u306f\u3001\u30bc\u30ed\u4ee5\u4e0a\u306e\u3059\u3079\u3066\u306e\u5b9f\u6570\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b8fb6676086841f8e7454004bfb39da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [0,+\\infty) \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <em>n<\/em>\u306e\u5024\u304c 2 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001Snedecor F \u5206\u5e03\u306e\u5e73\u5747\u306f\u3001 <em>n<\/em>\u304b\u3089 2 \u3092\u5f15\u3044\u305f\u5024\u306e<em>n<\/em>\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5861b8fbc6e7aef8cac0eb21cad00c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim F_{m,n}\\\\[2ex] E[X]=\\cfrac{n}{n-2} \\qquad \\text{para }n>2\\end{array} &#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;75&#8243; width=&#8221;225&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>n<\/em>\u304c 2 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001Snedecor \u5206\u5e03 F \u306e\u5206\u6563\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9a284413da889eec7ac2e9a95e255169_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim F_{m,n}\\\\[2ex] Var(X)=\\cfrac{2n^2\\cdot (m+n-2)}{m\\cdot (n-2)^2\\cdot (n-4)} \\qquad \\text{para }n>4\\end{array} &#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;80&#8243; width=&#8221;366&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li>\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc<em>m<\/em>\u304c 2 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001Snedecor \u5206\u5e03 F \u306e\u6700\u983b\u5024\u306f\u6b21\u306e\u5f0f\u3067\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-45d29450e457b8fa07c41227c7b407e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\cfrac{m-2}{m}\\cdot \\cfrac{n}{n+2}\\qquad \\text{para }m>2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;40&#8243; width=&#8221;278&#8243; style=&#8221;vertical-align: -14px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Snedecor \u5206\u5e03 F \u306e\u5bc6\u5ea6\u95a2\u6570\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-06871a7baaf462b75f545a02eac7dd11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{\\Gamma\\left(\\frac{m+n}{2}\\right)}{\\Gamma\\left(\\frac{m}{2}\\right)\\Gamma\\left(\\frac{n}{2}\\right)}\\left(\\frac{m}{n}\\right)^{\\frac{m}{2}}\\cdot\\frac{x^{\\frac{m-2}{2}}}{\\left(1+\\frac{mx}{n}\\right)^{\\frac{m+n}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"370\" style=\"vertical-align: -26px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5909\u6570\u304c\u81ea\u7531\u5ea6<em>m<\/em>\u304a\u3088\u3073<em>n<\/em>\u306e Snedecor F \u5206\u5e03\u306b\u5f93\u3046\u5834\u5408\u3001\u305d\u306e\u5909\u6570\u306e\u9006\u95a2\u6570\u306f\u540c\u3058\u81ea\u7531\u5ea6\u3092\u6301\u3064 Snedecor F \u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u304c\u3001\u305d\u306e\u5024\u306e\u9806\u5e8f\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-33587ac8fb53a8c4360dfa7f54da2792_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim F_{m,n} \\ \\color{orange}\\bm{\\longrightarrow}\\color{\\black} \\ X^{-1}\\sim F_{n,m}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"264\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<ul>\n<li> Student \u5206\u5e03\u306f\u3001Snedecor F \u5206\u5e03\u3068\u6b21\u306e\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3efae8413f4588d5f30ae36f2b96a4d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim t_n \\ \\color{orange}\\bm{\\longrightarrow}\\color{\\black} \\ X^2\\sim F_{1,n}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"228\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5b66\u751f\u306e\u5206\u5e03\/\">\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001Snedecor F \u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u7528\u9014\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001Snedecor F \u5206\u5e03\u30b0\u30e9\u30d5\u3068\u305d\u306e\u7d71\u8a08\u7684\u7279\u6027\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30b9\u30cd\u30c7\u30b3\u30fc\u30eb F \u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b? [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[],"class_list":["post-218","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Snedecor \u306e\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3 F<\/title>\n<meta name=\"description\" content=\"\u3053\u3053\u3067\u306f\u3001Snedecor F \u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u305d\u306e\u7528\u9014\u3001\u305d\u306e\u7279\u6027\u3001\u304a\u3088\u3073 Snedecor F \u5206\u5e03\u30b0\u30e9\u30d5\u304c\u308f\u304b\u308a\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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