{"id":1565,"date":"2023-07-25T21:00:34","date_gmt":"2023-07-25T21:00:34","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%be%9b%e6%99%ae%e6%a3%ae%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0\/"},"modified":"2023-07-25T21:00:34","modified_gmt":"2023-07-25T21:00:34","slug":"%e8%be%9b%e6%99%ae%e6%a3%ae%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%be%9b%e6%99%ae%e6%a3%ae%e5%a4%9a%e6%a0%b7%e6%80%a7%e6%8c%87%e6%95%b0\/","title":{"rendered":"\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570\uff1a\u5b9a\u4e49\u4e0e\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570<\/strong>\u662f\u8861\u91cf\u793e\u533a\u7269\u79cd\u591a\u6837\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bb0\u4e0b<em>D<\/em> \uff0c\u8be5\u6307\u6570\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>D<\/em> = \u03a3n <sub>i<\/sub> (n <sub>i<\/sub> -1) \/ N(N-1)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong>\u5c5e\u4e8e\u7269\u79cd<em>i<\/em>\u7684\u751f\u7269\u4f53\u6570\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u751f\u7269\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570\u7684\u503c\u57280\u52301\u4e4b\u95f4\u3002\u503c\u8d8a\u9ad8\uff0c\u591a\u6837\u6027\u8d8a\u4f4e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8fd9\u79cd\u89e3\u91ca\u6709\u4e9b\u8fdd\u53cd\u76f4\u89c9\uff0c\u6211\u4eec\u7ecf\u5e38\u8ba1\u7b97<strong>\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570<\/strong>\uff08\u6709\u65f6\u79f0\u4e3a\u4f18\u52bf\u6307\u6570\uff09\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a1 \u2013 D\u3002\u8be5\u6307\u6570\u7684\u503c\u8d8a\u9ad8\uff0c\u7269\u79cd\u7684\u591a\u6837\u6027\u8d8a\u9ad8\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u8ba1\u7b97<strong>\u8f9b\u666e\u68ee\u6307\u6570\u7684\u5012\u6570<\/strong>\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a 1\/D\u3002\u8be5\u6307\u6570\u7684\u6700\u4f4e\u503c\u4e3a1\uff0c\u6700\u9ad8\u503c\u4e3a\u7269\u79cd\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u67097\u4e2a\u4e0d\u540c\u7684\u7269\u79cd\uff0c\u5219\u8be5\u6307\u6570\u7684\u6700\u5927\u503c\u5c06\u4e3a7\u3002\u8be5\u6307\u6570\u7684\u503c\u8d8a\u9ad8\uff0c\u7269\u79cd\u591a\u6837\u6027\u8d8a\u5927\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u5206\u6b65\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u8ba1\u7b97\u7ed9\u5b9a\u793e\u533a\u7684\u8fd9\u4e9b\u4e0d\u540c\u6307\u6570\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u7b2c 1 \u6b65\uff1a\u6536\u96c6\u6570\u636e<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u751f\u7269\u5b66\u5bb6\u60f3\u8981\u6d4b\u91cf\u5f53\u5730\u68ee\u6797\u7684\u7269\u79cd\u591a\u6837\u6027\u3002\u5b83\u6536\u96c6\u4ee5\u4e0b\u6570\u636e\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15477 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shannon1.png\" alt=\"\" width=\"159\" height=\"188\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b65\u9aa42\uff1a\u8ba1\u7b97N<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7136\u540e\u5979\u5c31\u53ef\u4ee5\u8ba1\u7b97\u51fa\u751f\u7269\u4f53\u7684\u603b\u6570\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15509 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpson1.png\" alt=\"\" width=\"169\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5171\u6709<strong>105\u4e2a<\/strong>\u7ec4\u7ec7\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b65\u9aa43\uff1a\u8ba1\u7b97n <sub>i<\/sub> (n <sub>i<\/sub> -1)<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7136\u540e\u5c31\u53ef\u4ee5\u8ba1\u7b97\u51fan <sub>i<\/sub> (n <sub>i<\/sub> -1)\u3002\u4f8b\u5982\uff0c\u7b2c\u4e00\u4e2a\u7269\u79cd\u7684\u8ba1\u7b97\u5982\u4e0b\uff1a40*(40-1) = 1560\u3002\u5979\u53ef\u4ee5\u5bf9\u6bcf\u4e2a\u7269\u79cd\u91cd\u590d\u6b64\u8ba1\u7b97\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15510 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/simpson2.png\" alt=\"\" width=\"233\" height=\"237\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u8ba1\u7b97\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6700\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u8f9b\u666e\u68ee\u6307\u6570\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>D<\/em> = \u03a3n <sub>i<\/sub> (n <sub>i<\/sub> -1) \/ N(N-1)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u6211\u4eec\u4e4b\u524d\u627e\u5230\u7684\u503c\uff0c<strong>\u8f9b\u666e\u68ee\u6307\u6570<\/strong>\u53ef\u4ee5\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>D<\/em> = 2.668 \/ (105*(105-1)) = <strong>0.244<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u8ba1\u7b97<strong>\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570<\/strong>\u5982\u4e0b\uff1a 1 \u2013 <em>D<\/em> = 1 \u2013 0.244 = <strong>0.756<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u8ba1\u7b97<strong>\u8f9b\u666e\u68ee\u6307\u6570\u7684\u5012\u6570<\/strong>\u4e3a 1\/ <em>D<\/em> = 1\/.244 = <strong>4.09<\/strong> \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\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570\u8ba1\u7b97\u5668\u6765\u81ea\u52a8\u8ba1\u7b97\u4efb\u4f55\u6570\u636e\u96c6\u7684\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8f9b\u666e\u68ee\u591a\u6837\u6027\u6307\u6570\u662f\u8861\u91cf\u793e\u533a\u7269\u79cd\u591a\u6837\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u8bb0\u4e0bD \uff0c\u8be5\u6307\u6570\u8ba1\u7b97\u5982\u4e0b\uff1a D = \u03a3n i (n i -1 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