{"id":2236,"date":"2023-07-23T03:32:17","date_gmt":"2023-07-23T03:32:17","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%88%86%e7%b1%bb%e5%8f%98%e9%87%8f%e4%b9%8b%e9%97%b4%e7%9a%84%e7%9b%b8%e5%85%b3%e6%80%a7\/"},"modified":"2023-07-23T03:32:17","modified_gmt":"2023-07-23T03:32:17","slug":"%e5%88%86%e7%b1%bb%e5%8f%98%e9%87%8f%e4%b9%8b%e9%97%b4%e7%9a%84%e7%9b%b8%e5%85%b3%e6%80%a7","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%88%86%e7%b1%bb%e5%8f%98%e9%87%8f%e4%b9%8b%e9%97%b4%e7%9a%84%e7%9b%b8%e5%85%b3%e6%80%a7\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u7ecf\u5e38\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570-1\/\" target=\"_blank\" rel=\"noopener\">\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570<\/a>\u6765\u8ba1\u7b97\u8fde\u7eed\u6570\u503c\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f46\u662f\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4e0d\u540c\u7684\u5ea6\u91cf\u6765\u8ba1\u7b97\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\uff0c\u5373\u91c7\u7528\u540d\u79f0\u6216\u6807\u7b7e\u7684\u53d8\u91cf\uff0c\u4f8b\u5982\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5a5a\u59fb\u72b6\u51b5\uff08\u5355\u8eab\u3001\u5df2\u5a5a\u3001\u79bb\u5a5a\uff09<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5438\u70df\u72b6\u51b5\uff08\u5438\u70df\u8005\u3001\u975e\u5438\u70df\u8005\uff09<\/span><\/li>\n<li><span style=\"color: #000000;\">\u773c\u775b\u989c\u8272\uff08\u84dd\u8272\u3001\u68d5\u8272\u3001\u7eff\u8272\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u6709\u4e09\u79cd\u5e38\u7528\u7684\u5ea6\u91cf\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.\u56db\u76f8\u5173\u6027\uff1a<\/strong>\u7528\u4e8e\u8ba1\u7b97\u4e8c\u5143\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u591a\u76f8\u5173\u6027\uff1a<\/strong>\u7528\u4e8e\u8ba1\u7b97\u5e8f\u6570\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Cramer&#8217;s V\uff1a<\/strong>\u7528\u4e8e\u8ba1\u7b97\u540d\u4e49\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u90e8\u5206\u63d0\u4f9b\u4e86\u5982\u4f55\u8ba1\u7b97\u8fd9\u4e09\u4e2a\u6d4b\u91cf\u503c\u4e2d\u6bcf\u4e00\u4e2a\u7684\u793a\u4f8b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6307\u6807 1\uff1a\u56db\u9762\u76f8\u5173\u6027<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u56db\u76f8\u5173\u6027<\/strong>\u7528\u4e8e\u8ba1\u7b97\u4e8c\u5143\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002\u8bf7\u8bb0\u4f4f\uff0c\u4e8c\u5143\u53d8\u91cf\u662f\u53ea\u80fd\u91c7\u7528\u4e24\u4e2a\u53ef\u80fd\u503c\u4e4b\u4e00\u7684\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56db\u5411\u76f8\u5173\u6027\u53d6\u503c\u8303\u56f4\u4e3a-1~1\uff0c\u5176\u4e2d-1\u8868\u793a\u5f3a\u8d1f\u76f8\u5173\uff0c0\u8868\u793a\u65e0\u76f8\u5173\uff0c1\u8868\u793a\u5f3a\u6b63\u76f8\u5173\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u6027\u522b\u662f\u5426\u4e0e\u5bf9\u653f\u515a\u7684\u504f\u597d\u76f8\u5173\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5bf9 100 \u540d\u9009\u6c11\u8fdb\u884c\u4e86\u7b80\u5355\u7684\u968f\u673a\u62bd\u6837\uff0c\u5e76\u8be2\u95ee\u4ed6\u4eec\u5bf9\u67d0\u4e2a\u653f\u515a\u7684\u504f\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u8868\u5217\u51fa\u4e86\u8c03\u67e5\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12679 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tetra2.png\" alt=\"\u56db\u9762\u76f8\u5173\" width=\"325\" height=\"140\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u56db\u76f8\u5173\u6027\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u5206\u7c7b\u53d8\u91cf\u90fd\u662f\u4e8c\u5143\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6bcf\u4e2a\u53d8\u91cf\u53ea\u80fd\u91c7\u7528\u4e24\u4e2a\u53ef\u80fd\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728R\u4e2d\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u8ba1\u7b97\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u56db\u5411\u76f8\u5173\u6027\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (psych)\n\n<span style=\"color: #008080;\">#create 2x2 table\n<\/span>data = matrix(c(19, 12, 30, 39), nrow= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view table\n<\/span>data\n\n<span style=\"color: #008080;\">#calculate tetrachoric correlation\n<\/span>tetrachoric(data)\n\ntetrachoric correlation \n[1] 0.27<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u56db\u9762\u76f8\u5173\u6027\u7ed3\u679c\u4e3a<strong>0.27<\/strong> \u3002\u8fd9\u4e2a\u503c\u76f8\u5f53\u4f4e\uff0c\u8868\u660e\u6027\u522b\u548c\u653f\u515a\u504f\u597d\u4e4b\u95f4\u7684\u5173\u8054\u5f88\u5f31\uff08\u5982\u679c\u6709\u7684\u8bdd\uff09\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6307\u6807 2\uff1a\u591a\u5143\u76f8\u5173\u6027<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u591a\u76f8\u5173\u6027<\/strong>\u7528\u4e8e\u8ba1\u7b97\u5e8f\u6570\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002\u56de\u60f3\u4e00\u4e0b\uff0c\u5e8f\u6570\u53d8\u91cf\u662f\u5176\u53ef\u80fd\u503c\u5177\u6709\u81ea\u7136\u987a\u5e8f\u7684\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u591a\u5411\u76f8\u5173\u6027\u53d6\u503c\u8303\u56f4\u4e3a-1\u52301\uff0c\u5176\u4e2d-1\u8868\u793a\u5f3a\u8d1f\u76f8\u5173\uff0c0\u8868\u793a\u65e0\u76f8\u5173\uff0c1\u8868\u793a\u5f3a\u6b63\u76f8\u5173\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u60a8\u60f3\u77e5\u9053\u4e24\u4e2a\u4e0d\u540c\u7684\u7535\u5f71\u8bc4\u7ea7\u673a\u6784\u7684\u7535\u5f71\u8bc4\u7ea7\u4e4b\u95f4\u662f\u5426\u5177\u6709\u9ad8\u5ea6\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8981\u6c42\u6bcf\u4e2a\u673a\u6784\u6309\u7167 1 \u5230 3 \u7684\u7b49\u7ea7\u5bf9 20 \u90e8\u4e0d\u540c\u7684\u7535\u5f71\u8fdb\u884c\u8bc4\u5206\uff0c\u5176\u4e2d 1 \u8868\u793a\u201c\u5dee\u201d\uff0c2 \u8868\u793a\u201c\u5dee\u201d\uff0c3 \u8868\u793a\u201c\u597d\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u8868\u663e\u793a\u4e86\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20462 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poly11.png\" alt=\"\" width=\"283\" height=\"525\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728 R \u4e2d\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u8ba1\u7b97\u4e24\u4e2a\u673a\u6784\u8bc4\u7ea7\u4e4b\u95f4\u7684\u591a\u5411\u76f8\u5173\u6027\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (polycor)\n\n<span style=\"color: #008080;\">#define movie ratings\n<\/span>x &lt;- c(1, 1, 2, 2, 3, 2, 2, 3, 2, 3, 3, 2, 1, 2, 2, 1, 1, 1, 2, 2)\ny &lt;- c(1, 1, 2, 1, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 1, 3, 3)\n\n<span style=\"color: #008080;\">#calculate polychoric correlation between ratings\n<\/span>polychor(x, y)\n\n[1] 0.7828328\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u591a\u5411\u76f8\u5173\u6027\u7ed3\u679c\u4e3a<strong>0.78<\/strong> \u3002\u8fd9\u4e2a\u503c\u76f8\u5f53\u9ad8\uff0c\u8868\u660e\u6bcf\u4e2a\u673a\u6784\u7684\u8bc4\u7ea7\u4e4b\u95f4\u5b58\u5728\u5f88\u5f3a\u7684\u6b63\u76f8\u5173\u5173\u7cfb\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6307\u6807 3\uff1a\u514b\u83b1\u9ed8 V<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Cramer&#8217;s V<\/strong>\u7528\u4e8e\u8ba1\u7b97\u540d\u4e49\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002<\/span><span style=\"color: #000000;\">\u8bf7\u8bb0\u4f4f\uff0c\u540d\u4e49\u53d8\u91cf\u662f\u5e26\u6709\u7c7b\u522b\u6807\u7b7e\u4f46\u6ca1\u6709\u81ea\u7136\u987a\u5e8f\u7684\u53d8\u91cf\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cramer&#8217;s V \u7684\u53d6\u503c\u8303\u56f4\u4e3a 0 \u5230 1\uff0c\u5176\u4e2d 0 \u8868\u793a\u53d8\u91cf\u4e4b\u95f4\u6ca1\u6709\u5173\u8054\uff0c1 \u8868\u793a\u53d8\u91cf\u4e4b\u95f4\u6709\u5f3a\u5173\u8054\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u773c\u775b\u989c\u8272\u548c\u6027\u522b\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u76f8\u5173\u6027\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u8be2\u95ee\u4e86 50 \u4e2a\u4eba\u5e76\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20463 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poly12.png\" alt=\"\" width=\"370\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728 R \u4e2d\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u53d8\u91cf\u7684 Cramer&#8217;s V\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (rcompanion)\n\n<span style=\"color: #008080;\">#create table\n<\/span>data = matrix(c(6, 9, 8, 5, 12, 10), nrow= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view table\n<\/span>data\n\n     [,1] [,2] [,3]\n[1,] 6 8 12\n[2,] 9 5 10\n\n<span style=\"color: #008080;\">#calculate Cramer's V\n<\/span>cramerV(data)\n\nCramer V \n  0.1671<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cramer \u7684 V \u7ed3\u679c\u4e3a<strong>0.1671<\/strong> \u3002\u8be5\u503c\u76f8\u5f53\u4f4e\uff0c\u8868\u660e\u6027\u522b\u548c\u773c\u775b\u989c\u8272\u4e4b\u95f4\u7684\u5173\u8054\u8f83\u5f31\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\/\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570-1\/\" target=\"_blank\" rel=\"noopener\">\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u7b80\u4ecb<\/a><br \/>\u56db\u9762\u76f8\u5173\u7b80\u4ecb<br \/><a href=\"https:\/\/statorials.org\/cn\/\u5206\u7c7b\u4e0e\u5b9a\u91cf\/\" target=\"_blank\" rel=\"noopener\">\u5206\u7c7b\u53d8\u91cf\u6216\u5b9a\u91cf\u53d8\u91cf\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/a><br \/>\u6d4b\u91cf\u7ea7\u522b\uff1a\u540d\u4e49\u3001\u5e8f\u6570\u3001\u95f4\u9694\u548c\u6bd4\u7387<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u4eec\u7ecf\u5e38\u4f7f\u7528\u76ae\u5c14\u900a\u76f8\u5173\u7cfb\u6570\u6765\u8ba1\u7b97\u8fde\u7eed\u6570\u503c\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002 \u4f46\u662f\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4e0d\u540c\u7684\u5ea6\u91cf\u6765\u8ba1\u7b97\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8 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