{"id":2513,"date":"2023-07-21T23:01:41","date_gmt":"2023-07-21T23:01:41","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-wald-%e6%b5%8b%e8%af%95\/"},"modified":"2023-07-21T23:01:41","modified_gmt":"2023-07-21T23:01:41","slug":"r-%e4%b8%ad%e7%9a%84-wald-%e6%b5%8b%e8%af%95","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-wald-%e6%b5%8b%e8%af%95\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c wald \u6d4b\u8bd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Wald \u68c0\u9a8c<\/strong>\u53ef\u7528\u4e8e\u6d4b\u8bd5\u6a21\u578b\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u53c2\u6570\u662f\u5426\u7b49\u4e8e\u7279\u5b9a\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u68c0\u9a8c\u901a\u5e38\u7528\u4e8e\u786e\u5b9a<a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u56de\u5f52\u6a21\u578b<\/a>\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u662f\u5426\u7b49\u4e8e\u96f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5728\u6b64\u6d4b\u8bd5\u4e2d\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe<\/a>\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> \uff1a\u67d0\u4e9b\u9884\u6d4b\u53d8\u91cf\u96c6\u5168\u90e8\u7b49\u4e8e\u96f6\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> \uff1a\u5e76\u975e\u96c6\u5408\u4e2d\u7684\u6240\u6709\u9884\u6d4b\u53d8\u91cf\u90fd\u7b49\u4e8e 0\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u4ece\u6a21\u578b\u4e2d\u5220\u9664\u6307\u5b9a\u7684\u9884\u6d4b\u53d8\u91cf\u96c6\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e0d\u4f1a\u5728\u6a21\u578b\u62df\u5408\u65b9\u9762\u63d0\u4f9b\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u6539\u8fdb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u663e\u793a\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Wald \u6d4b\u8bd5\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aR \u4e2d\u7684 Wald \u6d4b\u8bd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u672c\u793a\u4f8b\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 R \u4e2d\u5185\u7f6e\u7684<a href=\"https:\/\/statorials.org\/cn\/mtcars-r-\u6570\u636e\u96c6\/\" target=\"_blank\" rel=\"noopener\">mtcars<\/a>\u6570\u636e\u96c6\u6765\u62df\u5408\u4ee5\u4e0b\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub>\u53ef\u7528 + \u03b2 <sub>2<\/sub>\u78b3\u6c34\u5316\u5408\u7269 + \u03b2 <sub>3<\/sub>\u9a6c\u529b + \u03b2 <sub>4<\/sub>\u6c7d\u7f38<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u62df\u5408\u6b64\u56de\u5f52\u6a21\u578b\u5e76\u663e\u793a\u6a21\u578b\u6458\u8981\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg ~ disp + carb + hp + cyl, data = mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ disp + carb + hp + cyl, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-5.0761 -1.5752 -0.2051 1.0745 6.3047 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 34.021595 2.523397 13.482 1.65e-13 ***\navailable -0.026906 0.011309 -2.379 0.0247 *  \ncarb -0.926863 0.578882 -1.601 0.1210    \nhp 0.009349 0.020701 0.452 0.6551    \ncyl -1.048523 0.783910 -1.338 0.1922    \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 2.973 on 27 degrees of freedom\nMultiple R-squared: 0.788, Adjusted R-squared: 0.7566 \nF-statistic: 25.09 on 4 and 27 DF, p-value: 9.354e-09<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>aod<\/strong>\u5305\u4e2d\u7684<strong>wald.test()<\/strong>\u51fd\u6570\u6765\u6d4b\u8bd5\u9884\u6d4b\u53d8\u91cf\u201chp\u201d\u548c\u201ccyl\u201d\u7684\u56de\u5f52\u7cfb\u6570\u662f\u5426\u90fd\u7b49\u4e8e 0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u57fa\u672c\u8bed\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Wald.test\uff08\u897f\u683c\u739b\uff0cb\uff0c\u672f\u8bed\uff09<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Sigma<\/strong> \uff1a\u56de\u5f52\u6a21\u578b\u7684\u65b9\u5dee-\u534f\u65b9\u5dee\u77e9\u9635<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b<\/strong> \uff1a\u6a21\u578b\u56de\u5f52\u7cfb\u6570\u5411\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u672f\u8bed<\/strong>\uff1a\u6307\u5b9a\u8981\u6d4b\u8bd5\u7684\u7cfb\u6570\u7684\u5411\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0b\u9762\u7684\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u9645\u4e2d\u4f7f\u7528\u8fd9\u4e2a\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">library<\/span> (aod)<\/span>\n\n#perform Wald Test to determine if 3rd and 4th predictor variables are both zero\n<\/span>wald. <span style=\"color: #3366ff;\">test<\/span> (Sigma = vcov(model), b = coef(model), Terms = 3:4)\n\nWald test:\n----------\n\nChi-squared test:\nX2 = 3.6, df = 2, P(&gt;X2) = 0.16\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u68c0\u9a8c\u7684<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u503c\u4e3a<\/a>0.16\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u4e0d\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd Wald \u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u9884\u6d4b\u53d8\u91cf\u201chp\u201d\u548c\u201ccyl\u201d\u7684\u56de\u5f52\u7cfb\u6570\u5747\u4e3a\u96f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4ece\u6a21\u578b\u4e2d\u5220\u9664\u8fd9\u4e9b\u9879\uff0c\u56e0\u4e3a\u5b83\u4eec\u5728\u7edf\u8ba1\u4e0a\u4e0d\u4f1a\u663e\u7740\u6539\u5584\u6574\u4f53\u6a21\u578b\u62df\u5408\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 R \u4e2d\u6267\u884c\u5176\u4ed6\u5e38\u89c1\u64cd\u4f5c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u89e3\u91ca-r-\u4e2d\u7684\u56de\u5f52\u8f93\u51fa\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u89e3\u91ca R \u4e2d\u7684\u56de\u5f52\u8f93\u51fa<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u81a8\u80c0\u56e0\u5b50-r\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97\u65b9\u5dee\u81a8\u80c0\u56e0\u5b50 (VIF)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wald \u68c0\u9a8c\u53ef\u7528\u4e8e\u6d4b\u8bd5\u6a21\u578b\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u53c2\u6570\u662f\u5426\u7b49\u4e8e\u7279\u5b9a\u503c\u3002 \u6b64\u68c0\u9a8c\u901a\u5e38\u7528\u4e8e\u786e\u5b9a\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf [&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-2513","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Wald \u68c0\u9a8c - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Wald \u6d4b\u8bd5\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684-wald-\u6d4b\u8bd5\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" 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