{"id":510,"date":"2023-07-29T16:22:24","date_gmt":"2023-07-29T16:22:24","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%8e%b1%e6%96%87%e6%96%af%e8%af%95%e9%aa%8c\/"},"modified":"2023-07-29T16:22:24","modified_gmt":"2023-07-29T16:22:24","slug":"%e8%8e%b1%e6%96%87%e6%96%af%e8%af%95%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%8e%b1%e6%96%87%e6%96%af%e8%af%95%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c levene \u65b9\u5dee\u9f50\u6027\u68c0\u9a8c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u8bb8\u591a\u7edf\u8ba1\u68c0\u9a8c\uff08\u4f8b\u5982<a href=\"https:\/\/statorials.org\/cn\/\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\u6216<a href=\"https:\/\/statorials.org\/cn\/\u4e24\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a>\uff09\u5047\u8bbe\u591a\u4e2a\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b63\u5f0f\u68c0\u9a8c\u8fd9\u4e00\u5047\u8bbe\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528<strong>Levene \u68c0\u9a8c<\/strong>\uff0c\u8be5\u68c0\u9a8c\u68c0\u9a8c\u4e24\u4e2a\u6216\u591a\u4e2a\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u662f\u5426\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u6d4b\u8bd5\u57fa\u4e8e\u4ee5\u4e0b\u5047\u8bbe\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u539f\u5047\u8bbe (H <sub>0<\/sub> )<\/strong> \uff1a\u7ec4\u95f4\u65b9\u5dee\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5907\u62e9\u5047\u8bbe ( <sub>HA<\/sub> )<\/strong> \uff1a\u7ec4\u95f4\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u68c0\u9a8c\u7684 p \u503c\u5c0f\u4e8e\u6240\u9009\u7684\u663e\u7740\u6027\u6c34\u5e73\uff0c\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u4e0d\u76f8\u7b49\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Levene \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u8981\u5728 R \u4e2d\u6267\u884c Levene \u6d4b\u8bd5\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>car<\/strong>\u5e93\u4e2d\u7684<strong>leveneTest()<\/strong>\u51fd\u6570\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">leveneTest\uff08\u54cd\u5e94\u53d8\u91cf~\u7ec4\u53d8\u91cf\uff0c\u6570\u636e=\u6570\u636e\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f5c\u4e3a\u793a\u4f8b\uff0c\u8bf7\u8003\u8651\u4ee5\u4e0b\u6570\u636e\u6846\uff0c\u8be5\u6570\u636e\u6846\u663e\u793a\u4e86\u4eba\u4eec\u901a\u8fc7\u4e09\u79cd\u4e0d\u540c\u7684\u51cf\u80a5\u8ba1\u5212\u51cf\u6389\u4e86\u591a\u5c11\u4f53\u91cd\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each = <span style=\"color: #008000;\">30<\/span> ),\n                   weight_loss = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(data)\n\n# program weight_loss\n#1 A 2.6900916\n#2 A 0.7965260\n#3 A 1.1163717\n#4 A 1.7185601\n#5 A 2.7246234\n#6 A 0.6050458<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8981\u68c0\u67e5\u8fd9\u4e09\u4e2a\u7a0b\u5e8f\u4e4b\u95f4\u7684\u51cf\u80a5\u65b9\u5dee\u662f\u5426\u76f8\u7b49\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>leveneTest()<\/strong>\u51fd\u6570\u5e76\u4f7f\u7528 0.05 \u4f5c\u4e3a\u663e\u7740\u6027\u6c34\u5e73\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load car package\n<\/span><span style=\"color: #008000;\">library<\/span> (car)\n\n<span style=\"color: #008080;\">#conduct Levene's Test for equality of variances\n<\/span>leveneTest(weight_loss ~ program, data = data)\n\n#Levene's Test for Homogeneity of Variance (center = median)\n# Df F value Pr(&gt;F)  \n#group 2 4.1716 0.01862 *\n#87                  \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u68c0\u9a8c\u7684 p \u503c\u4e3a<strong>0.01862<\/strong> \uff0c\u4f4e\u4e8e\u6211\u4eec\u7684\u663e\u7740\u6027\u6c34\u5e73 0.05\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u4e09\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u53ef\u89c6\u5316\u65b9\u5dee\u7684\u5dee\u5f02<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u901a\u8fc7\u6267\u884c Levene \u68c0\u9a8c\uff0c\u6211\u4eec\u77e5\u9053\u4e09\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u4e0d\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9664\u4e86\u6267\u884c\u6b64\u68c0\u9a8c\u4e4b\u5916\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u521b\u5efa\u7bb1\u5f62\u56fe\u6765\u663e\u793a\u4e09\u7ec4\u4e2d\u6bcf\u7ec4\u7684\u4f53\u91cd\u51cf\u8f7b\u5206\u5e03\uff0c\u4ee5\u4fbf\u6211\u4eec\u53ef\u4ee5\u76f4\u89c2\u5730\u7406\u89e3\u4e3a\u4ec0\u4e48 Levene \u7684\u68c0\u9a8c\u62d2\u7edd\u65b9\u5dee\u9f50\u6027\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>boxplot(weight_loss ~ program,\n  data = data,\n  main = \"Weight Loss Distribution by Program\",\n  xlab = \"Program\",\n  ylab = \"Weight Loss\",\n  col = \"steelblue\",\n  border = \"black\")<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u9879\u76ee C \u7684\u53c2\u4e0e\u8005\u7684\u4f53\u91cd\u51cf\u8f7b\u5dee\u5f02\u660e\u663e\u9ad8\u4e8e\u5176\u4ed6\u4e24\u4e2a\u9879\u76ee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0cLevene \u68c0\u9a8c\u62d2\u7edd\u4e09\u7ec4\u4e4b\u95f4\u65b9\u5dee\u76f8\u7b49\u7684\u539f\u5047\u8bbe\u662f\u5408\u4e4e\u903b\u8f91\u7684\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728\u4e0d\u540c\u7684\u7edf\u8ba1\u8f6f\u4ef6\u4e2d\u6267\u884c Levene \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u83b1\u6587\u65afexcel\u6d4b\u8bd5\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c Levene \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u83b1\u6587\u65af\u6d4b\u8bd5python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c Levene \u6d4b\u8bd5<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/levenes-spss\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SPSS \u4e2d\u6267\u884c Levene \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u83b1\u6587\u65af\u72b6\u6001\u6d4b\u8bd5\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Stata \u4e2d\u8fdb\u884c Levene \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bb8\u591a\u7edf\u8ba1\u68c0\u9a8c\uff08\u4f8b\u5982\u5355\u5411\u65b9\u5dee\u5206\u6790\u6216\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff09\u5047\u8bbe\u591a\u4e2a\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u76f8\u7b49\u3002 \u6b63\u5f0f\u68c0\u9a8c\u8fd9\u4e00\u5047\u8bbe\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528Le [&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-510","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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