{"id":326,"date":"2017-02-04T01:01:51","date_gmt":"2017-02-03T17:01:51","guid":{"rendered":"https:\/\/www.beneplot.com\/?p=326"},"modified":"2021-06-21T12:28:38","modified_gmt":"2021-06-21T04:28:38","slug":"326","status":"publish","type":"post","link":"https:\/\/www.beneplot.com\/?p=326","title":{"rendered":"\u6d4b\u8bd5\u6807\u51c6\u8bef (SEM)\u3001\u7f6e\u4fe1\u533a\u95f4 (CI) \u4e0e\u6837\u672c\u91cf"},"content":{"rendered":"<p>\u65e0\u8bba\u4f7f\u7528\u4ec0\u4e48\u65b9\u6cd5\uff0c\u5728\u4efb\u4f55\u6d4b\u8bd5\u4e2d\uff0c<strong>\u5c0f\u6837\u672c<\/strong>\uff08\u9898\u91cf\u5c11\u6216\u662f\u4eba\u6570\u5c11\uff09\u90fd\u4f1a\u5bfc\u81f4\u4e09\u4e2a\u95ee\u9898\uff1a<strong>\u6d4b\u8bd5\u7cbe\u5ea6\u66f4\u4f4e\u3001\u5076\u7136\u8bef\u5dee\u5f71\u54cd\u66f4\u5927\u3001\u8ba1\u7b97\u6a21\u578b\u62df\u5408\u5ea6\u66f4\u4f4e<\/strong>\u3002<\/p>\n<p><strong>\u5728IRT\u6a21\u578b\u4e2d\uff0c\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u662f\u8861\u91cf\u6d4b\u9a8c\u7cbe\u5ea6\u7684\u4e3b\u8981\u6307\u6807\u4e4b\u4e00<\/strong>\uff0c\u5982\u679c\u4e00\u4e2a\u6d4b\u8bd5\u7684SEM\u57280.3\u5de6\u53f3\uff0c\u8bf4\u660e\u8be5\u6d4b\u8bd5\u5177\u6709\u4f18\u79c0\u7684\u7cbe\u5ea6\u3002SEM\u57280.5\u5de6\u53f3\u65f6\uff0c\u8bf4\u660e\u8be5\u6d4b\u8bd5\u5177\u6709\u826f\u597d\u7684\u7cbe\u5ea6\u3002\u6709\u65f6\uff0c\u6d4b\u8bd5\u8bbe\u8ba1\u8005\u9700\u8981\u9884\u5148\u8bbe\u5b9aSEM\uff0c\u7136\u540e\u6839\u636e\u8bbe\u5b9a\u7684SEM\u6765\u6c42\u53d6\u6240\u9700\u7684\u6837\u672c\u91cf\uff08\u6d4b\u8bd5\u9898\u91cf\u548c\u6d4b\u8bd5\u4eba\u6570\uff09\u3002<\/p>\n<p>SEM\u7684\u8ba1\u7b97\u65b9\u5f0f\u53ef\u89c1\u6587\u7ae0\u300a<strong><a style=\"color: #000000;\" href=\"https:\/\/www.beneplot.com\/?p=289\">\u4fe1\u606f\u91cf (I) \u3001\u6807\u51c6\u8bef (SE) \u548c \u6d4b\u8bd5\u6807\u51c6\u8bef (SEM)<\/a><\/strong>\u300b\u4e2d\u7684\u516c\u5f0f\u4e09\uff0c\u5373\uff1a<\/p>\n<p><strong>SEM(<\/strong><strong>\u6d4b\u8bd5\u6807<\/strong><strong>\u51c6<\/strong><strong>\u8bef<\/strong><strong>) = 1 \/ sqrt(sum( P * (1-P))) = 1 \/ sqrt(( N * P * (1-P)))<\/strong><\/p>\n<p>\u5728\u4e00\u4e2a\u8003\u8bd5\u4e2d\uff0c\u4e00\u822c\u4f1a\u5c06\u9898\u76ee\u7684\u7b54\u5bf9\u6982\u7387\uff08\u53c8\u79f0\u4e3a\u96be\u5ea6\uff09<strong>P\u503c\u63a7\u5236\u57280.1-0.9\u4e4b\u95f4<\/strong>\uff0c\u5c06P\u503c\u4ee3\u5165\u4e0a\u8ff0\u516c\u5f0f\u53ef\u5f97\uff1a<\/p>\n<p><strong>2\/sqrt(N) &lt; SEM &lt; 3\/sqrt(N) <\/strong><strong>\uff0c<\/strong><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>\uff08\u516c\u5f0f\u4e00\uff09<\/strong><\/p>\n<p><strong>4\/SEM^2 &lt; N &lt; 9\/SEM^2 <\/strong><strong>\uff0c<\/strong><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>\uff08\u516c\u5f0f\u4e8c\uff09<\/strong><\/p>\n<p>\u4e3a\u4e86\u8861\u91cf\u6570\u503c\u7684\u7cbe\u5ea6\uff0c\u901a\u5e38\u4f1a\u7528\u5230<strong>\u7f6e\u4fe1\u533a\u95f4<\/strong><strong>(<\/strong><strong>Confidence interval<\/strong><strong>)<\/strong>\u7684\u6982\u5ff5\uff0c\u987e\u540d\u601d\u4e49\uff0c\u7f6e\u4fe1\u533a\u95f4\u662f\u4e00\u4e2a\u6570\u503c\u533a\u95f4\uff0c\u7531\u4e8e\u6570\u503c\u7684\u8ba1\u7b97\u4f1a\u53d7\u5230\u5404\u79cd\u5404\u6837\u7684\u56e0\u7d20\u5f71\u54cd\uff0c\u51e1\u662f\u843d\u5728\u89c4\u5b9a\u5185\u7684<strong>\u7f6e\u4fe1\u533a\u95f4<\/strong>\u7684\u6570\u503c\u88ab\u79f0\u4e3a<strong>\u53ef\u4ee5\u5fcd\u53d7\u8bef\u5dee\u7684\u6570\u503c<\/strong>\u3002<\/p>\n<p><strong>\u7f6e\u4fe1\u533a\u95f4\u7684\u516c\u5f0f\u4e3a\uff1a<\/strong><\/p>\n<p><strong>X-mean(sum(X)) = \u00b1Z * SEM <\/strong><strong>\uff0c<\/strong><strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>\uff08\u516c\u5f0f<\/strong><strong>\u4e09<\/strong><strong>\uff09<\/strong><\/p>\n<p>\u5176\u4e2d\uff0c<strong>X<\/strong>\u8868\u793a\u4e00\u7ec4\u6570\u503c\u4e2d\u7684\u4efb\u610f\u4e00\u4e2a\u6570\u503c\uff0c<strong>mean(sum(X))<\/strong>\u8868\u793a\u8be5\u7ec4\u6570\u503c\u7684<strong>\u5e73\u5747\u503c<\/strong>\uff0c<strong>Z<\/strong>\u4e3a\u7279\u5b9a\u5206\u5e03\u4e0b\u7684\u7279\u5b9a\u503c\uff0c\u901a\u5e38<strong>\u53c2\u7167\u6b63\u6001\u5206\u5e03<\/strong>\uff0c<strong>\u5f53\u7f6e\u4fe1\u6c34\u5e73(\u5373\u4fe1\u4efb\u7684\u6982\u7387)\u4e3a95%\u65f6\uff0cZ\u22482\uff0c<\/strong><strong style=\"font-size: 1rem;\">\u5f53<\/strong><strong style=\"font-size: 1rem;\">\u7f6e\u4fe1\u6c34\u5e73\u4e3a99%<\/strong><strong style=\"font-size: 1rem;\">\u65f6<\/strong><strong style=\"font-size: 1rem;\">\uff0cZ\u22482.6\u3002<\/strong><\/p>\n<p><strong>\u5728IRT\u4e2d\uff0c<\/strong>\u5047\u5982\u6d4b\u8bd5\u8bbe\u8ba1\u8005\u5e0c\u671b\u6700\u7ec8<strong>\u5f97\u5230\u7684\u503c\u7684\u504f\u79bb\u670995%\u7684\u6982\u7387\u5728 \u00b11 logit\u5185<\/strong>\uff0c\u6839\u636e\u516c\u5f0f\u4e09\u53ef\u5f97\uff1a<\/p>\n<p>\u00b1SEM = 1 \/ 2 = \u00b1 0.5,<\/p>\n<p>\u5047\u5982\u662f\u6709<strong>99%\u7684\u6982\u7387\u5728\u00b11 logit<\/strong>\u5185\uff0c\u53ef\u5f97\uff1a<\/p>\n<p>\u00b1SEM = 1 \/ 2.6 \u2248 \u00b1 0.385,<\/p>\n<p>\u5047\u5982\u662f\u6709<strong>95%\u7684\u6982\u7387\u5728\u00b10.5 logit<\/strong>\u5185\uff0c\u53ef\u5f97\uff1a<\/p>\n<p>\u00b1SEM = 1 \/ 4 = \u00b1 0.25,<\/p>\n<p>\u5047\u5982\u662f\u6709<strong>99%\u7684\u6982\u7387\u5728\u00b10.5 logit<\/strong>\u5185\uff0c\u53ef\u5f97\uff1a<\/p>\n<p>\u00b1SEM = 1 \/ 5.2 \u2248 \u00b1 0.192,<\/p>\n<p>\u7531\u6b64\u53ef\u89c1\uff0c<strong>\u7f6e\u4fe1\u6c34\u5e73\u8d8a\u9ad8\uff0c\u504f\u79bb\u503c\u533a\u95f4\u8d8a\u5c0f\uff0c\u6d4b\u8bd5\u6807\u51c6\u8bef\u4f1a\u8d8a\u4f4e\uff0c\u6d4b\u8bd5\u8d8a\u53ef\u4fe1\u3002<\/strong><\/p>\n<p><strong>\u57fa\u4e8e\u6b64\u539f\u56e0\uff0c\u5728IRT\u4e2d\uff0c\u5e38\u5e38\u4f1a\u6839\u636e\u7f6e\u4fe1\u6c34\u5e73\u548c\u504f\u79bb\u503c\u533a\u95f4\u6765\u6c42\u53d6\u6837\u672c\u91cf\u3002<\/strong><\/p>\n<p>\u901a\u8fc7\u516c\u5f0f\u4e09\u8ba1\u7b97\u53ef\u5f97\u4e0b\u5bf9\u5e94\u8868\uff1a<\/p>\n<p><a href=\"https:\/\/www.rasch.org\/\"><img loading=\"lazy\" class=\"\" src=\" https:\/\/www.beneplot.com\/?attachment_id=344\" alt=\"\" width=\"558\" height=\"285\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65e0\u8bba\u4f7f\u7528\u4ec0\u4e48\u65b9\u6cd5\uff0c\u5728\u4efb\u4f55\u6d4b\u8bd5\u4e2d\uff0c\u5c0f\u6837\u672c\uff08\u9898\u91cf\u5c11\u6216\u662f\u4eba\u6570\u5c11\uff09\u90fd\u4f1a\u5bfc\u81f4\u4e09\u4e2a\u95ee\u9898\uff1a\u6d4b\u8bd5\u7cbe\u5ea6\u66f4\u4f4e\u3001\u5076\u7136\u8bef\u5dee\u5f71\u54cd\u66f4\u5927\u3001\u8ba1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v14.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<meta name=\"robots\" content=\"index, follow\" \/>\n<meta name=\"googlebot\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta name=\"bingbot\" content=\"index, follow, max-snippet:-1, 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