{"id":1526,"date":"2023-07-26T00:50:41","date_gmt":"2023-07-26T00:50:41","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%b5%8b%e8%af%95g\/"},"modified":"2023-07-26T00:50:41","modified_gmt":"2023-07-26T00:50:41","slug":"%e6%b5%8b%e8%af%95g","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%b5%8b%e8%af%95g\/","title":{"rendered":"\u62df\u5408\u4f18\u5ea6\u7684 g \u68c0\u9a8c\uff1a\u5b9a\u4e49 + \u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c<\/strong>\u7528\u4e8e\u786e\u5b9a\u5206\u7c7b\u53d8\u91cf\u662f\u5426\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u68c0\u9a8c\u662f<a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u7684<\/a>\u66ff\u4ee3\u65b9\u6cd5\uff0c\u901a\u5e38\u5728\u6570\u636e\u4e2d\u5b58\u5728\u5f02\u5e38\u503c\u6216\u60a8\u6b63\u5728\u5904\u7406\u7684\u6570\u636e\u975e\u5e38\u5927\u65f6\u4f7f\u7528\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c\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> \uff1a<\/strong>\u53d8\u91cf\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> \uff1a<\/strong>\u53d8\u91cf<em>\u4e0d\u9075\u5faa<\/em>\u5047\u8bbe\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u68c0\u9a8c\u7edf\u8ba1\u91cf\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">G=2 * \u03a3[O * ln(O\/E)]<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>O\uff1a<\/strong>\u5728\u7ec6\u80de\u4e2d\u89c2\u5bdf\u5230\u7684\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>E\uff1a<\/strong>\u5355\u5143\u683c\u4e2d\u7684\u9884\u671f\u6570\u5b57<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u4e0e\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684 p \u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">\u663e\u7740\u6027\u6c34\u5e73<\/a>\uff0c\u5219\u60a8\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6240\u7814\u7a76\u7684\u53d8\u91cf\u4e0d\u9075\u5faa\u5047\u8bbe\u7684\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u6267\u884c\u62df\u5408\u4f18\u5ea6 G \u68c0\u9a8c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e00\u4f4d\u751f\u7269\u5b66\u5bb6\u58f0\u79f0\uff0c\u67d0\u4e2a\u5730\u533a\u5b58\u5728\u540c\u7b49\u6bd4\u4f8b\u7684\u4e09\u79cd\u6d77\u9f9f\u3002\u4e3a\u4e86\u9a8c\u8bc1\u8fd9\u4e00\u8bf4\u6cd5\uff0c\u4e00\u4f4d\u72ec\u7acb\u7814\u7a76\u4eba\u5458\u8ba1\u7b97\u4e86\u6bcf\u79cd\u7269\u79cd\u7684\u6570\u91cf\uff0c\u5e76\u5f97\u51fa\u4ee5\u4e0b\u7ed3\u8bba\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7269\u79cdA\uff1a <strong>80<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u7269\u79cd B\uff1a <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">C \u79cd\uff1a <strong>95<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u72ec\u7acb\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u8fdb\u884c\u62df\u5408\u4f18\u5ea6 G \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u5979\u6536\u96c6\u7684\u6570\u636e\u662f\u5426\u4e0e\u751f\u7269\u5b66\u5bb6\u7684\u8bf4\u6cd5\u4e00\u81f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u9648\u8ff0\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7814\u7a76\u4eba\u5458\u5c06\u4f7f\u7528\u4ee5\u4e0b\u5047\u8bbe\u8fdb\u884c\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> \uff1a<\/strong>\u8be5\u533a\u57df\u5b58\u5728\u540c\u7b49\u6bd4\u4f8b\u7684\u4e09\u79cd\u6d77\u9f9f\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u8be5\u5730\u533a<em>\u4e0d\u5b58\u5728<\/em>\u540c\u7b49\u6bd4\u4f8b\u7684\u4e09\u79cd\u6d77\u9f9f\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa42\uff1a\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G=2 * \u03a3[O * ln(O\/E)]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u603b\u5171\u89c2\u5bdf\u5230 300 \u53ea\u6d77\u9f9f\u3002\u5982\u679c\u6bcf\u4e2a\u7269\u79cd\u7684\u6bd4\u4f8b\u76f8\u7b49\uff0c\u6211\u4eec\u9884\u8ba1\u6bcf\u4e2a\u7269\u79cd\u90fd\u4f1a\u89c2\u5bdf\u5230 100 \u53ea\u6d77\u9f9f\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">G = 2 * [80*ln(80\/100) + 125*ln(125\/100) + 95*ln(95\/100)] = <strong>10.337<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684 p \u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e<a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9-p-\u503c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5361\u65b9\u5230 P \u503c\u8ba1\u7b97\u5668<\/a>\uff0c\u4e0e\u68c0\u9a8c\u7edf\u8ba1\u91cf 10.337 \u548c #categories-1 = 3-1 = 2 \u81ea\u7531\u5ea6\u76f8\u5173\u7684 p \u503c\u4e3a<strong>0.005693<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u5c0f\u4e8e 0.05\uff0c\u7814\u7a76\u4eba\u5458\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u5979\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u8be5\u7279\u5b9a\u533a\u57df\u4e2d\u6bcf\u79cd\u6d77\u9f9f\u7269\u79cd\u7684\u6bd4\u4f8b<em>\u5e76\u4e0d<\/em>\u76f8\u540c\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5956\u52b1\uff1aR \u4e2d\u62df\u5408\u4f18\u5ea6\u7684 G \u6d4b\u8bd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528 DescTools \u5305\u4e2d\u7684<strong>Gtest()<\/strong>\u51fd\u6570\u5728 R \u4e2d\u5feb\u901f\u6267\u884c\u62df\u5408\u4f18\u5ea6 G \u68c0\u9a8c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u5bf9\u524d\u9762\u7684\u793a\u4f8b\u6267\u884c G \u6d4b\u8bd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the DescTools library<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#perform the G-test \n<\/span>GTest(x = c(80, 125, 95), <span style=\"color: #008080;\">#observed values<\/span>\n      p = c(1\/3, 1\/3, 1\/3), <span style=\"color: #008080;\">#expected proportions<\/span>\n      correct=\" <span style=\"color: #008000;\">none<\/span> \")\n\n\tLog likelihood ratio (G-test) goodness of fit test\n\ndata: c(80, 125, 95)\nG = 10.337, X-squared df = 2, p-value = 0.005693\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cG \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<b>10.337<\/b> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.005693<\/strong> \u3002\u7531\u4e8e\u8be5 p \u503c\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\u4e0e\u6211\u4eec\u624b\u52a8\u8ba1\u7b97\u7684\u7ed3\u679c\u76f8\u7b26\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8bf7\u968f\u610f\u4f7f\u7528\u6b64\u62df\u5408\u4f18\u5ea6 G \u68c0\u9a8c\u8ba1\u7b97\u5668\u6765\u81ea\u52a8\u5bf9\u4efb\u4f55\u6570\u636e\u96c6\u6267\u884c G \u68c0\u9a8c\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c\u7528\u4e8e\u786e\u5b9a\u5206\u7c7b\u53d8\u91cf\u662f\u5426\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u3002 \u6b64\u68c0\u9a8c\u662f\u5361\u65b9\u62df\u5408\u4f18\u5ea6\u68c0\u9a8c\u7684\u66ff\u4ee3\u65b9\u6cd5\uff0c\u901a\u5e38\u5728 [&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-1526","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>\u62df\u5408\u4f18\u5ea6\u7684 G \u68c0\u9a8c\uff1a\u5b9a\u4e49 + \u793a\u4f8b<\/title>\n<meta name=\"description\" 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