{"id":1626,"date":"2023-07-25T14:55:46","date_gmt":"2023-07-25T14:55:46","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4-r\/"},"modified":"2023-07-25T14:55:46","modified_gmt":"2023-07-25T14:55:46","slug":"%e4%ba%8c%e9%a1%b9%e5%bc%8f%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e9%a1%b9%e5%bc%8f%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4-r\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97 r \u4e2d\u7684\u4e8c\u9879\u5f0f\u7f6e\u4fe1\u533a\u95f4"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4e8c\u9879\u5f0f\u6982\u7387\u7684\u7f6e\u4fe1\u533a\u95f4<\/strong>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4 = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\uff1a<\/strong> \u201c\u6210\u529f\u201d\u7684\u6bd4\u4f8b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z\uff1a<\/strong>\u9009\u62e9\u7684z\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u60a8\u4f7f\u7528\u7684 z \u503c\u53d6\u51b3\u4e8e\u60a8\u9009\u62e9\u7684\u7f6e\u4fe1\u6c34\u5e73\u3002\u4e0b\u8868\u663e\u793a\u4e86\u4e0e\u6700\u5e38\u89c1\u7684\u7f6e\u4fe1\u6c34\u5e73\u9009\u62e9\u76f8\u5bf9\u5e94\u7684 z \u503c\uff1a<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u4e00\u5b9a\u7a0b\u5ea6\u7684\u4fe1\u5fc3<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>z\u503c<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">0.90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1,645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u4f30\u8ba1\u4e00\u4e2a\u53bf\u4e2d\u652f\u6301\u67d0\u9879\u6cd5\u5f8b\u7684\u5c45\u6c11\u6bd4\u4f8b\u3002\u6211\u4eec\u968f\u673a\u62bd\u53d6\u4e86 100 \u540d\u5c45\u6c11\uff0c\u53d1\u73b0\u5176\u4e2d 56 \u4eba\u652f\u6301\u8fd9\u9879\u6cd5\u5f8b\u3002<\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u8ba1\u7b97\u652f\u6301\u8be5\u6cd5\u5f8b\u7684\u5168\u53bf\u5c45\u6c11\u771f\u5b9e\u6bd4\u4f8b\u7f6e\u4fe1\u533a\u95f4\u7684\u4e09\u79cd\u4e0d\u540c\u65b9\u6cd5\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5\u4e00\uff1a\u4f7f\u7528prop.test()\u51fd\u6570<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u4e8c\u9879\u5f0f 95% \u7f6e\u4fe1\u533a\u95f4\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528\u57fa R \u4e2d\u7684<strong>prop.test()<\/strong>\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>prop. <span style=\"color: #3366ff;\">test<\/span> (x=56, n=100, conf. <span style=\"color: #3366ff;\">level<\/span> =.95, correct= <span style=\"color: #008000;\">FALSE<\/span> )\n\n\n\t1-sample proportions test without continuity correction\n\ndata: 56 out of 100, null probability 0.5\nX-squared = 1.44, df = 1, p-value = 0.2301\nalternative hypothesis: true p is not equal to 0.5\n95 percent confidence interval:\n 0.4622810 0.6532797\nsample estimates:\n   p \n0.56 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u652f\u6301\u8be5\u6cd5\u5f8b\u7684\u53bf\u5c45\u6c11\u771f\u5b9e\u6bd4\u4f8b\u7684 95% CI \u4e3a<strong>[.46228, .65328]<\/strong> \u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd52\uff1a\u4f7f\u7528binconf()\u51fd\u6570<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u7f6e\u4fe1\u533a\u95f4\u7684\u53e6\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528<strong>Hmisc<\/strong>\u5305\u4e2d\u7684<strong>binconf()<\/strong>\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: #993300;\">library<\/span> (Hmisc)<\/span>\n\n#calculate 95% confidence interval\n<\/span>binconf(x=56, n=100, alpha=.05)\n\n PointEast Lower Upper\n     0.56 0.462281 0.6532797\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u6b64\u7f6e\u4fe1\u533a\u95f4\u5bf9\u5e94\u4e8e\u4e0a\u4e00\u793a\u4f8b\u4e2d\u8ba1\u7b97\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd5\u4e09\uff1a\u624b\u52a8\u8ba1\u7b97\u7f6e\u4fe1\u533a\u95f4<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728 R \u4e2d\u8ba1\u7b97\u4e8c\u9879\u5f0f 95% \u7f6e\u4fe1\u533a\u95f4\u7684\u53e6\u4e00\u79cd\u65b9\u6cd5\u662f\u624b\u52a8\u6267\u884c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define proportion\n<\/span>p &lt;- 56\/100\n\n<span style=\"color: #008080;\">#define significance level\n<\/span>a &lt;- .05\n\n<span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>p + c(- <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2), <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2))* <span style=\"color: #3366ff;\">sqrt<\/span> ((1\/100)*p*(1-p))\n\n[1] 0.4627099 0.6572901<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u5904\u4e86\u89e3\u6709\u5173<strong>qnorm()<\/strong>\u51fd\u6570\u7684\u66f4\u591a\u4fe1\u606f\uff1a <a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684-dnorm-pnorm-rnorm-qnorm\/\">R \u4e2d\u7684 dnorm\u3001pnorm\u3001qnorm \u548c rnorm \u6307\u5357<\/a><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5f0f\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u4e8c\u9879\u5f0f\u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u7ed8\u5236\u4e8c\u9879\u5f0f\u5206\u5e03-r\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u7ed8\u5236\u4e8c\u9879\u5f0f\u5206\u5e03<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u9879\u5f0f\u6982\u7387\u7684\u7f6e\u4fe1\u533a\u95f4\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a \u7f6e\u4fe1\u533a\u95f4 = p +\/- z*(\u221a p(1-p) \/ n ) \u91d1\u5b50\uff1a  [&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-1626","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\u8ba1\u7b97 R \u4e2d\u7684\u4e8c\u9879\u5f0f\u7f6e\u4fe1\u533a\u95f4<\/title>\n<meta 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