{"id":1095,"date":"2023-07-27T16:45:42","date_gmt":"2023-07-27T16:45:42","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-f-%e6%b5%8b%e8%af%95\/"},"modified":"2023-07-27T16:45:42","modified_gmt":"2023-07-27T16:45:42","slug":"r-%e4%b8%ad%e7%9a%84-f-%e6%b5%8b%e8%af%95","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-f-%e6%b5%8b%e8%af%95\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c f \u6d4b\u8bd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>F \u68c0\u9a8c<\/strong>\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u662f\u5426\u76f8\u7b49\u3002\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03c3 <sub>1<\/sub> <sup>2<\/sup> = \u03c3 <sub>2<\/sub> <sup>2<\/sup> \uff08\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\uff09<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03c3 <sub>1<\/sub> <sup>2<\/sup> \u2260 \u03c3 <sub>2<\/sub> <sup>2<\/sup> \uff08\u603b\u4f53\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u5728 R \u4e2d\u6267\u884c F \u6d4b\u8bd5\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528<strong>var.test()<\/strong>\u51fd\u6570\u548c\u4ee5\u4e0b\u8bed\u6cd5\u4e4b\u4e00\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u65b9\u6cd51\uff1a<\/strong> var.test(x,y,alternative =\u201c\u4e24\u4fa7\u201d)<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u65b9\u6cd5\u4e8c\uff1a<\/strong> var.test(values~groups, data, Alternative = \u201c\u53cc\u65b9\u201d)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c<em>\u66ff\u4ee3<\/em>\u8868\u793a\u8981\u4f7f\u7528\u7684\u66ff\u4ee3\u5047\u8bbe\u3002\u9ed8\u8ba4\u4e3a\u201c\u53cc\u9762\u201d\uff0c\u4f46\u60a8\u53ef\u4ee5\u5c06\u5176\u6307\u5b9a\u4e3a\u201c\u5de6\u201d\u6216\u201c\u53f3\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u4f7f\u7528\u8fd9\u4e24\u79cd\u65b9\u6cd5\u5728 R \u4e2d\u6267\u884c F \u6d4b\u8bd5\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd51\uff1aR\u4e2d\u7684F\u6d4b\u8bd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u7b2c\u4e00\u79cd\u65b9\u6cd5\u6267\u884c F \u6d4b\u8bd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define the two groups<\/span>\nx &lt;- c(18, 19, 22, 25, 27, 28, 41, 45, 51, 55)\ny &lt;- c(14, 15, 15, 17, 18, 22, 25, 25, 27, 34)\n\n<span style=\"color: #008080;\">#perform an F-test to determine in the variances are equal\n<\/span>var.test(x, y)\n\n\tF test to compare two variances\n\ndata: x and y\nF = 4.3871, num df = 9, denom df = 9, p-value = 0.03825\nalternative hypothesis: true ratio of variances is not equal to 1\n95 percent confidence interval:\n  1.089699 17.662528\nsample estimates:\nratio of variances \n          4.387122 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">F \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>4.3871<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.03825<\/strong> \u3002\u7531\u4e8e\u8be5 p \u503c\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd52\uff1aR\u4e2d\u7684F\u6d4b\u8bd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u7b2c\u4e00\u79cd\u65b9\u6cd5\u6267\u884c F \u6d4b\u8bd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define the two groups<\/span>\ndata &lt;- data.frame(values=c(18, 19, 22, 25, 27, 28, 41, 45, 51, 55,\n                            14, 15, 15, 17, 18, 22, 25, 25, 27, 34),\n                   group= <span style=\"color: #3366ff;\">rep<\/span> (c('A', 'B'), <span style=\"color: #3366ff;\">each<\/span> = <span style=\"color: #008000;\">10<\/span> ))\n\n<span style=\"color: #008080;\">#perform an F-test to determine in the variances are equal\n<\/span>var.test(values~group, data=data)\n\n\tF test to compare two variances\n\ndata: x and y\nF = 4.3871, num df = 9, denom df = 9, p-value = 0.03825\nalternative hypothesis: true ratio of variances is not equal to 1\n95 percent confidence interval:\n  1.089699 17.662528\nsample estimates:\nratio of variances \n          4.387122 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u540c\u6837\uff0cF \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>4.3871<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.03825<\/strong> \u3002\u7531\u4e8e\u8be5<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u503c<\/a>\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u76f8\u5173<\/strong>\uff1a\u4f7f\u7528\u6b64\u514d\u8d39\u7684\u7b49\u65b9\u5dee F \u68c0\u9a8c\u8ba1\u7b97\u5668\u6267\u884c F \u68c0\u9a8c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f55\u65f6\u4f7f\u7528 F \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">F \u68c0\u9a8c\u901a\u5e38\u7528\u4e8e\u56de\u7b54\u4ee5\u4e0b\u95ee\u9898\u4e4b\u4e00\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u4e24\u4e2a\u6837\u672c\u662f\u5426\u6765\u81ea\u65b9\u5dee\u76f8\u7b49\u7684\u603b\u4f53\uff1f<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u65b0\u7684\u5904\u7406\u6216\u5de5\u827a\u662f\u5426\u4f1a<\/strong>\u51cf\u5c11\u5f53\u524d\u5904\u7406\u6216\u5de5\u827a\u7684\u53ef\u53d8\u6027\uff1f<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/f-\u6d4b\u8bd5-python\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c F \u6d4b\u8bd5<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e86\u89e3\u56de\u5f52\u4e2d\u603b\u4f53\u663e\u7740\u6027\u7684-f-\u68c0\u9a8c\u7684\u7b80\u5355\u6307\u5357\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u4e2d\u603b\u4f53\u663e\u7740\u6027\u7684 F \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>F \u68c0\u9a8c\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u662f\u5426\u76f8\u7b49\u3002\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\u5982\u4e0b\uff1a H 0 : \u03c3 1 2 = \u03c3 2 2 \uff08 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1095","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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