{"id":221,"date":"2023-08-04T00:57:07","date_gmt":"2023-08-04T00:57:07","guid":{"rendered":"https:\/\/statorials.org\/cn\/snedecor-%e7%9a%84%e5%88%86%e5%b8%83-f\/"},"modified":"2023-08-04T00:57:07","modified_gmt":"2023-08-04T00:57:07","slug":"snedecor-%e7%9a%84%e5%88%86%e5%b8%83-f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/snedecor-%e7%9a%84%e5%88%86%e5%b8%83-f\/","title":{"rendered":"\u65af\u5185\u88c5\u9970 f \u5206\u9500"},"content":{"rendered":"<p>\u672c\u6587\u4ecb\u7ecd\u4e86 Snedecor F \u53d1\u884c\u7248\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230 Snedecor F \u5206\u5e03\u56fe\u53ca\u5176\u7edf\u8ba1\u7279\u6027\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-f-de-snedecor\"><\/span>\u4ec0\u4e48\u662f\u65af\u5185\u88c5\u9970 F \u5206\u5e03\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Snedecor F \u5206\u5e03<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>Fisher\u2013Snedecor F \u5206\u5e03<\/strong>\u6216\u7b80\u79f0<strong>F \u5206\u5e03<\/strong>\uff0c\u662f\u4e00\u79cd\u7528\u4e8e\u7edf\u8ba1\u63a8\u65ad\uff0c\u7279\u522b\u662f\u65b9\u5dee\u5206\u6790\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u3002<\/p>\n<p> Snedecor F \u5206\u5e03\u7684\u5c5e\u6027\u4e4b\u4e00\u662f\u5b83\u7531\u4e24\u4e2a\u5b9e\u6570\u53c2\u6570<em>m<\/em>\u548c<em>n<\/em>\u7684\u503c\u5b9a\u4e49\uff0c\u8fd9\u4e24\u4e2a\u5b9e\u6570\u53c2\u6570\u8868\u793a\u5b83\u4eec\u7684\u81ea\u7531\u5ea6\u3002\u56e0\u6b64\uff0cSnedecor \u5206\u5e03 F \u7684\u7b26\u53f7\u4e3a<em>F <sub>m,n<\/sub><\/em> \uff0c\u5176\u4e2d<em>m<\/em>\u548c<em>n<\/em>\u662f\u5b9a\u4e49\u5206\u5e03\u7684\u53c2\u6570\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>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0cSnedecor F \u5206\u5e03\u7b49\u4e8e\u4e00\u4e2a\u5361\u65b9\u5206\u5e03\u4e0e\u5176\u81ea\u7531\u5ea6\u4e4b\u95f4\u7684\u5546\u9664\u4ee5\u53e6\u4e00\u4e2a\u5361\u65b9\u5206\u5e03\u4e0e\u5176\u81ea\u7531\u5ea6\u4e4b\u95f4\u7684\u5546\u3002\u56e0\u6b64\uff0c\u5b9a\u4e49 Snedecor F \u5206\u5e03\u7684\u516c\u5f0f\u5982\u4e0b\uff1a <\/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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9\u5206\u5e03\/\">\u4ec0\u4e48\u662f\u5361\u65b9\u5206\u5e03\uff1f<\/a><\/div>\n<p> Fisher-Snedecor F \u5206\u5e03\u5f97\u540d\u4e8e\u82f1\u56fd\u7edf\u8ba1\u5b66\u5bb6 Ronald Fisher \u548c\u7f8e\u56fd\u7edf\u8ba1\u5b66\u5bb6 George Snedecor\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0cFisher-Snedecor F \u5206\u5e03\u6709\u4e0d\u540c\u7684\u5e94\u7528\u3002\u4f8b\u5982\uff0cFisher-Snedecor F \u5206\u5e03\u7528\u4e8e\u6bd4\u8f83\u4e0d\u540c\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u8be5\u6982\u7387\u5206\u5e03\u7528\u4e8e\u65b9\u5dee\u5206\u6790 (ANOVA)\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-f-de-snedecor\"><\/span> Snedecor F\u5206\u5e03\u56fe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86 Snedecor F \u5206\u5e03\u7684\u5b9a\u4e49\uff0c\u5176\u5bc6\u5ea6\u51fd\u6570\u56fe\u548c\u7d2f\u79ef\u6982\u7387\u56fe\u5982\u4e0b\u6240\u793a\u3002<\/p>\n<p>\u5728\u4e0b\u56fe\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u51e0\u4e2a\u5177\u6709\u4e0d\u540c\u81ea\u7531\u5ea6\u7684 Snedecor F \u5206\u5e03\u793a\u4f8b\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=\"Snedecor F\u5206\u5e03\u56fe\" class=\"wp-image-4375\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u4e0b\u56fe\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230 Snedecor F \u5206\u5e03\u7684\u7d2f\u79ef\u6982\u7387\u51fd\u6570\u56fe\u5982\u4f55\u6839\u636e\u5176\u7279\u5f81\u503c\u800c\u53d8\u5316\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\u7684\u7d2f\u79ef\u6982\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\u7684\u7279\u5f81<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u672c\u8282\u4ecb\u7ecd\u4e86 Snedecor F \u53d1\u884c\u7248\u6700\u91cd\u8981\u7684\u7279\u5f81\u3002<\/p>\n<ul>\n<li> Snedecor F \u5206\u5e03\u7684\u81ea\u7531\u5ea6<em>m<\/em>\u548c<em>n<\/em>\u662f\u5b9a\u4e49\u5206\u5e03\u5f62\u72b6\u7684\u4e24\u4e2a\u53c2\u6570\u3002 Snedecor F\u5206\u5e03\u7684\u8fd9\u4e9b\u7279\u5f81\u503c\u4e3a\u6b63\u6574\u6570\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\u7684\u57df\u7531\u6240\u6709\u5927\u4e8e\u6216\u7b49\u4e8e\u96f6\u7684\u5b9e\u6570\u7ec4\u6210\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>\u5bf9\u4e8e\u5927\u4e8e 2 \u7684<em>n<\/em>\u503c\uff0cSnedecor F \u5206\u5e03\u7684\u5e73\u5747\u503c\u7b49\u4e8e<em>n<\/em>\u51cf\u53bb<em>n<\/em>\u51cf 2\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>\u5f53\u53c2\u6570<em>n<\/em>\u5927\u4e8e2\u65f6\uff0cSnedecor\u5206\u5e03F\u7684\u65b9\u5dee\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/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>\u5982\u679c\u53c2\u6570<em>m<\/em>\u5927\u4e8e2\uff0c\u5219Snedecor\u5206\u5e03F\u7684\u4f17\u6570\u53ef\u4ee5\u7528\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u8ba1\u7b97\uff1a<\/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\u5e03F\u7684\u5bc6\u5ea6\u51fd\u6570\u516c\u5f0f\u5982\u4e0b\uff1a<\/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>\u5982\u679c\u53d8\u91cf\u9075\u5faa\u81ea\u7531\u5ea6\u4e3a<em>m<\/em>\u548c<em>n<\/em>\u7684 Snedecor F \u5206\u5e03\uff0c\u5219\u6240\u8ff0\u53d8\u91cf\u7684\u53cd\u51fd\u6570\u9075\u5faa\u5177\u6709\u76f8\u540c\u81ea\u7531\u5ea6\u4f46\u6539\u53d8\u5176\u503c\u987a\u5e8f\u7684 Snedecor F \u5206\u5e03\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\u4e0e Snedecor F \u5206\u5e03\u6709\u4ee5\u4e0b\u5173\u7cfb\uff1a <\/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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5b66\u751f\u5206\u5e03\/\">\u5b66\u751f t \u5206\u5e03\u662f\u4ec0\u4e48\uff1f<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u4ecb\u7ecd\u4e86 Snedecor F \u53d1\u884c\u7248\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230 Snedecor F \u5206\u5e03\u56fe\u53ca [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-221","post","type-post","status-publish","format-standard","hentry","category-12"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Snedecor \u7684 Distribution F<\/title>\n<meta name=\"description\" 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