{"id":1716,"date":"2023-07-25T06:45:39","date_gmt":"2023-07-25T06:45:39","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9c%a8-r-%e4%b8%ad%e8%a7%a3%e9%87%8a-lanova-%e7%bb%93%e6%9e%9c\/"},"modified":"2023-07-25T06:45:39","modified_gmt":"2023-07-25T06:45:39","slug":"%e5%9c%a8-r-%e4%b8%ad%e8%a7%a3%e9%87%8a-lanova-%e7%bb%93%e6%9e%9c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9c%a8-r-%e4%b8%ad%e8%a7%a3%e9%87%8a-lanova-%e7%bb%93%e6%9e%9c\/","title":{"rendered":"\u5b8c\u6574\u6307\u5357\uff1a\u5982\u4f55\u89e3\u91ca r \u4e2d\u7684\u65b9\u5dee\u5206\u6790\u7ed3\u679c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u5982\u4f55\u89e3\u91ca R \u4e2d\u5355\u5411\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u7684\u5b8c\u6574\u6307\u5357\u3002<\/span><\/p>\n<h3><strong>\u7b2c 1 \u6b65\uff1a\u521b\u5efa\u6570\u636e<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u786e\u5b9a\u4e09\u79cd\u4e0d\u540c\u7684\u8bad\u7ec3\u8ba1\u5212\u662f\u5426\u4f1a\u5bfc\u81f4\u4e2a\u4f53\u7684\u5e73\u5747\u4f53\u91cd\u51cf\u8f7b\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec<\/span><span style=\"color: #000000;\">\u62db\u52df\u4e86 90 \u4eba\u53c2\u52a0\u4e00\u9879\u5b9e\u9a8c\uff0c\u5176\u4e2d\u6211\u4eec\u968f\u673a\u5206\u914d 30 \u4eba\u9075\u5faa\u8ba1\u5212 A\u3001\u8ba1\u5212 B \u6216\u8ba1\u5212 C \u4e00\u4e2a\u6708\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u521b\u5efa\u6211\u4eec\u5c06\u4f7f\u7528\u7684\u6570\u636e\u6846\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n<\/span>\n#create data frame\n<span style=\"color: #000000;\">data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(' <span style=\"color: #008000;\">A<\/span> ', ' <span style=\"color: #008000;\">B<\/span> ', ' <span style=\"color: #008000;\">C<\/span> '), each = 30),\n                   weight_loss = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))<\/span>\n\n#view first six rows of data frame\n<span style=\"color: #000000;\">head(data)\n<\/span>\n<span style=\"color: #000000;\">program weight_loss\n1 A 2.6900916\n2 A 0.7965260\n3 A 1.1163717\n4 A 1.7185601\n5 A 2.7246234\n6 A 0.6050458<\/span>\n<\/span><\/strong><\/pre>\n<h3><strong>\u7b2c 2 \u6b65\uff1a\u6267\u884c\u65b9\u5dee\u5206\u6790<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528<strong>aov()<\/strong>\u547d\u4ee4\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit one-way ANOVA model\n<span style=\"color: #000000;\">model &lt;- aov(weight_loss ~ program, data = data)<\/span>\n<\/span><\/strong><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u7b2c 3 \u6b65\uff1a\u89e3\u91ca\u65b9\u5dee\u5206\u6790\u7ed3\u679c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528<strong>summary()<\/strong>\u547d\u4ee4\u6765\u663e\u793a\u5355\u5411\u65b9\u5dee\u5206\u6790\u7ed3\u679c\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view summary of one-way ANOVA model\n<span style=\"color: #000000;\">summary(model)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \nprogram 2 98.93 49.46 30.83 7.55e-11 ***\nResiduals 87 139.57 1.60                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u6bcf\u4e2a\u7ed3\u679c\u503c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7a0b\u5e8fDf\uff1a<\/strong>\u53ef\u53d8<em>\u7a0b\u5e8f<\/em>\u7684\u81ea\u7531\u5ea6\u3002\u5176\u8ba1\u7b97\u65b9\u5f0f\u4e3a#groups -1\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6709 3 \u4e2a\u4e0d\u540c\u7684\u8bad\u7ec3\u8ba1\u5212\uff0c\u56e0\u6b64\u8be5\u503c\u4e3a\uff1a 3-1 = <strong>2<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Df Residuals\uff1a<\/strong>\u6b8b\u5dee\u7684\u81ea\u7531\u5ea6\u3002\u8ba1\u7b97\u65b9\u5f0f\u4e3a#total Observations \u2013 #groups\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6709 90 \u4e2a\u89c2\u6d4b\u503c\u548c 3 \u4e2a\u7ec4\uff0c\u56e0\u6b64\u8be5\u503c\u4e3a\uff1a90 -3 = <strong>87<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7a0b\u5e8f\u548c\u5e73\u65b9\uff1a<\/strong>\u4e0e\u53d8\u91cf<em>\u7a0b\u5e8f<\/em>\u5173\u8054\u7684\u5e73\u65b9\u548c\u3002\u8be5\u503c\u4e3a<strong>98.93<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u5e73\u65b9\u548c\uff1a<\/strong>\u4e0e\u6b8b\u5dee\u6216\u201c\u8bef\u5dee\u201d\u76f8\u5173\u7684\u5e73\u65b9\u548c\u3002\u8be5\u503c\u4e3a<strong>139.57<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e2d\u65b9\u5f62\u3002\u7a0b\u5e8f\uff1a<\/strong>\u4e0e\u7a0b\u5e8f\u76f8\u5173\u7684\u5e73\u5747\u5e73\u65b9\u548c\u3002\u8fd9\u662f\u6309\u5e73\u65b9\u548c\u8ba1\u7b97\u7684\u3002\u7a0b\u5e8f\/\u7a0b\u5e8fDf\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a 98.93 \/ 2 = <strong>49.46<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e2d\u65b9\u5f62\u3002\u6b8b\u5dee\uff1a<\/strong>\u4e0e\u6b8b\u5dee\u76f8\u5173\u7684\u5e73\u5747\u5e73\u65b9\u548c\u3002\u8fd9\u662f\u6309\u5e73\u65b9\u548c\u8ba1\u7b97\u7684\u3002\u6b8b\u57fa\/\u6b8b\u57faDf\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8ba1\u7b97\u5982\u4e0b\uff1a 139.57 \/ 87 = <strong>1.60<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F\u503c\uff1a<\/strong> ANOVA\u6a21\u578b\u7684\u603b\u4f53F\u7edf\u8ba1\u91cf\u3002\u8fd9\u88ab\u8ba1\u7b97\u4e3a\u5747\u65b9\u3002\u7a0b\u5e8f\/\u5747\u65b9\u3002\u6b8b\u7559\u7269\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8ba1\u7b97\u5982\u4e0b\uff1a 49.46 \/ 1.60 = <strong>30.83<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pr(&gt;F)\uff1a<\/strong>\u4e0e\u5206\u5b50 df = 2 \u4e14\u5206\u6bcd df = 87 \u7684 F \u7edf\u8ba1\u91cf\u76f8\u5173\u7684 p \u503c\u3002\u5728\u672c\u4f8b\u4e2d\uff0cp \u503c\u4e3a<strong>7.552e-11<\/strong> \uff0c\u8fd9\u662f\u4e00\u4e2a\u6781\u5c0f\u7684\u6570\u5b57\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u7ec4\u7ed3\u679c\u4e2d\u6700\u91cd\u8981\u7684\u503c\u662f p \u503c\uff0c\u56e0\u4e3a\u5b83\u544a\u8bc9\u6211\u4eec\u4e09\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u503c\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u60f3\u4e00\u4e0b\uff0c\u5355\u5411\u65b9\u5dee\u5206\u6790\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> \uff08\u96f6\u5047\u8bbe\uff09\uff1a<\/strong>\u6240\u6709\u7ec4\u5747\u503c\u76f8\u7b49\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> \uff08\u66ff\u4ee3\u5047\u8bbe\uff09\uff1a<\/strong>\u81f3\u5c11\u6709\u4e00\u7ec4\u5e73\u5747\u503c\u4e0e\u5176\u4ed6\u7ec4\u4e0d\u540c\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u65b9\u5dee\u5206\u6790\u8868 (.7552e-11) \u4e2d\u7684 p \u503c\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u6765\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\uff0c\u4e09\u4e2a\u8bad\u7ec3\u8ba1\u5212\u4e4b\u95f4\u4e2a\u4eba\u7ecf\u5386\u7684\u5e73\u5747\u4f53\u91cd\u51cf\u8f7b\u5e76\u4e0d\u76f8\u7b49\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7b2c 4 \u6b65\uff1a\u6267\u884c\u4e8b\u540e\u6d4b\u8bd5\uff08\u5982\u6709\u5fc5\u8981\uff09<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5982\u679c\u65b9\u5dee\u5206\u6790\u8f93\u51fa\u4e2d\u7684 p \u503c\u5c0f\u4e8e 0.05\uff0c\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u544a\u8bc9\u6211\u4eec\u6bcf\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u503c\u4e0d\u76f8\u7b49\u3002\u7136\u800c\uff0c\u8fd9\u5e76\u6ca1\u6709\u544a\u8bc9\u6211\u4eec<em>\u54ea\u4e9b<\/em>\u7fa4\u4f53\u5f7c\u6b64\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u627e\u5230\u7b54\u6848\uff0c\u6211\u4eec\u9700\u8981\u8fdb\u884c<a href=\"https:\/\/statorials.org\/cn\/\u4e8b\u540e\u65b9\u5dee\u5206\u6790\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u4e8b\u540e\u6d4b\u8bd5<\/a>\u3002\u5728 R \u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>TukeyHSD()<\/strong>\u51fd\u6570\u6765\u6267\u884c\u6b64\u64cd\u4f5c\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Tukey post-hoc test\n<span style=\"color: #000000;\">TukeyHSD(model)\n\n$program\n         diff lwr upr p adj\nBA 0.9777414 0.1979466 1.757536 0.0100545\nCA 2.5454024 1.7656076 3.325197 0.0000000\nCB 1.5676610 0.7878662 2.347456 0.0000199\n<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A \u7ec4\u548c B \u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u7684\u8c03\u6574 p \u503c\u4e3a<strong>0.0100545<\/strong> \u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">A \u7ec4\u548c C \u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u7684\u8c03\u6574 p \u503c\u4e3a<strong>0.0000000<\/strong> \u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">B \u7ec4\u548c C \u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u7684\u8c03\u6574 p \u503c\u4e3a<strong>0.0000199<\/strong> \u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6bcf\u4e2a\u8c03\u6574\u540e\u7684 p \u503c\u90fd\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\uff0c<em>\u6bcf\u7ec4<\/em>\u4e4b\u95f4\u7684\u5e73\u5747\u4f53\u91cd\u51cf\u8f7b\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u8fbe\u8bfa\u74e6\u5047\u8bbe\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u68c0\u67e5\u65b9\u5dee\u5206\u6790\u5047\u8bbe<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790-1\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u624b\u52a8\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u8fbe\u8bfa\u74e6\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u8ba1\u7b97\u5668<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u5411\u65b9\u5dee\u5206\u6790\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002 \u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u5982\u4f55\u89e3\u91ca R \u4e2d\u5355\u5411\u65b9 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