{"id":289,"date":"2017-02-03T01:01:54","date_gmt":"2017-02-02T17:01:54","guid":{"rendered":"https:\/\/www.beneplot.com\/?p=289"},"modified":"2020-07-23T15:04:54","modified_gmt":"2020-07-23T07:04:54","slug":"%e4%bf%a1%e6%81%af%e9%87%8f-i-%e3%80%81%e6%a0%87%e5%87%86%e8%af%af-se-%e5%92%8c-%e6%b5%8b%e8%af%95%e6%a0%87%e5%87%86%e8%af%af-sem","status":"publish","type":"post","link":"https:\/\/www.beneplot.com\/?p=289","title":{"rendered":"\u4fe1\u606f\u91cf (I) \u3001\u6807\u51c6\u8bef (SE) \u548c \u6d4b\u8bd5\u6807\u51c6\u8bef (SEM)"},"content":{"rendered":"<p><strong>\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)<\/strong>\u662f\u6d4b\u8bd5\u7cbe\u5ea6\u7684\u91cf\u5316\u6307\u6807\u4e4b\u4e00\uff0c\u4e0e\u6d4b\u8bd5\u4fe1\u5ea6(test reliability)\u5bc6\u5207\u76f8\u5173\uff0c\u4e24\u8005\u5173\u7cfb\u7684\u8ba1\u7b97\u516c\u5f0f\u6709\uff1a<strong>SEM = sqrt(( 1 &#8211; test reliability ))<\/strong>\u3002<\/p>\n<p>\u901a\u5e38\uff0c\u5728\u4e00\u4e2a\u6d4b\u8bd5\u4e2d\uff0c<strong>\u6807\u51c6\u8bef(SE)\u7528\u4e8e\u8861\u91cf\u5355\u4e2a\u9898\u76ee\u7684\u7cbe\u5ea6\uff0c\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u5219\u88ab\u7528\u4e8e\u8861\u91cf\u6574\u4e2a\u6d4b\u8bd5\u7684\u7cbe\u5ea6\u3002\u82e5\u4e00\u4e2a\u6d4b\u8bd5\u4e2d\u53ea\u6709\u4e00\u9053\u9898\uff0c\u5219\u6807\u51c6\u8bef(SE)\u7b49\u4e8e\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u3002<\/strong><\/p>\n<p>\u7531\u4e8e<strong>\u6807\u51c6\u8bef(SE)\u662f\u4e0d\u53ef\u7d2f\u52a0\u7684\uff0c<\/strong><span style=\"font-size: 1rem;\">\u4e3a\u4e86\u5f25\u8865\u6b64\u7f3a\u70b9\u548c\u66f4\u597d\u53d1\u6325<strong>\u6807\u51c6\u8bef(SE)<\/strong>\u7684\u4f5c\u7528\uff0cFisher\u63d0\u51fa\u4e86<\/span><strong style=\"font-size: 1rem;\">\u4fe1\u606f\u91cf(Information)<\/strong>\u7684\u6982\u5ff5<strong style=\"font-size: 1rem;\">\u3002<\/strong>\u53ef\u4ee5\u8bf4\uff0c<strong style=\"font-size: 1rem;\">\u4fe1\u606f\u91cf(Information)\u662f<strong>\u6807\u51c6\u8bef(SE)\u7684\u53e6\u4e00\u79cd\u8868\u73b0\u5f62\u5f0f\u3002<\/strong><\/strong><\/p>\n<p><strong>\u5728IRT\u4e2d<\/strong>\uff0c<strong>\u4fe1\u606f\u91cf(Information\uff0cI)\u3001\u6807\u51c6\u8bef(Standard error, SE)\u3001\u6d4b\u8bd5\u6807\u51c6\u8bef(The standard error of the estimated measure, SEM)<\/strong>\u6709\u5982\u4e0b\u6570\u5b66\u5173\u7cfb\uff1a<\/p>\n<p><strong>Item Information(<\/strong><strong>\u9898\u76ee\u4fe1\u606f\u91cf) = 1 \/ SE^2 = P * (1-P)\uff0c\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\uff08\u516c\u5f0f\u4e00\uff09<\/strong><\/p>\n<p><strong>Test Information(<\/strong><strong>\u6d4b\u8bd5\u4fe1\u606f\u91cf) = sum(1 \/ SE^2) = 1 \/ SEM^2 = sum [P * (1-P)] \uff0c\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\uff08\u516c\u5f0f\u4e8c\uff09<\/strong><\/p>\n<p><strong>SEM(<\/strong><strong>\u6d4b\u8bd5\u6807\u51c6\u8bef) = 1 \/ sqrt(sum( P * (1-P))) = 1 \/ sqrt(( N * P * (1-P)))\uff0c\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\uff08\u516c\u5f0f\u4e09\uff09<\/strong><\/p>\n<p><strong>N = 1 \/ ( SEM^2 * P * (1-P)))\uff0c\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\uff08\u516c\u5f0f\u56db\uff09<\/strong><\/p>\n<p>\u5176\u4e2d<strong>N<\/strong>\u4e3a\u8003\u8bd5\u7684<strong>\u9898\u76ee\u6570\u91cf<\/strong>\uff1b<strong>P<\/strong>\u4e3a\u6d4b\u8bd5\u8005\u5728\u67d0\u9053\u9898\u76ee\u7684<strong>\u7b54\u5bf9\u6982\u7387<\/strong>\u3002<\/p>\n<p>\u4ee5\u4e00\u4e2a\u5171\u6709<strong>40\u9898<\/strong>\u7684<strong>\u4e24\u5206\u8003\u8bd5(dichotomous test)<\/strong>\u4e3a\u4f8b\uff1a<\/p>\n<p><strong>*<\/strong><strong>\u4e24\u5206\u8003\u8bd5<\/strong>\u6307\u8be5\u8003\u8bd5\u4e2d\u7684\u6240\u6709\u9898\u76ee\u90fd\u662f0,1\u8ba1\u5206\u7684\u9898\uff0c\u5373\u5728\u4e24\u5206\u8003\u8bd5\u4e2d\uff0c\u4efb\u610f\u4e00\u9053\u9898\uff0c\u7b54\u5bf9\u8ba11\u5206\uff0c\u7b54\u9519\u8ba10\u5206\u3002<\/p>\n<p>\u5047\u5982\u5176\u4e2d\u67d0\u4e2a\u9898\u76ee\u7684\u7b54\u5bf9\u6982\u7387P\u662f0.5\uff0c\u90a3\u4e48\u8be5<strong>\u9898\u76ee\u7684\u4fe1\u606f\u91cf<\/strong>\u4e3a0.25(\u6839\u636e\u4e0a\u8ff0\u516c\u5f0f\u4e00\u8ba1\u7b97\u6240\u5f97\uff0c0.5 * (1-0.5) =0.25)\uff0c\u8be5<strong>\u9898\u76ee\u7684\u6807\u51c6\u8bef<\/strong>\u4e3a2(\u6ce8\u610f\uff01\u6b64\u4e3aIRT\u4e0b\u7684\u8ba1\u7b97\u7ed3\u679c\uff0c\u9879\u76ee\u53cd\u5e94\u7406\u8bba\u4e2d\u7684\u6807\u51c6\u8bef\u4e0e\u7ecf\u5178\u6d4b\u91cf\u7406\u8bba\u4e2d\u7684\u6807\u51c6\u8bef\u6210\u53cd\u6bd4\uff0c\u5373\u5728CTT\u4e2d\uff0c\u8be5\u9898\u7684\u6807\u51c6\u8bef\u662f0.5 = 1\/2)\u3002<\/p>\n<p>\u5047\u5982\u8be5\u8003\u8bd5\u6240\u6709\u9898\u76ee\u7684\u7b54\u5bf9\u6982\u7387\u90fd\u662f0.5\uff0c\u90a3\u4e48\u8be5\u8003\u8bd5\u7684<strong>\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u4e3a<\/strong>\uff1a<\/p>\n<p><strong>SEM = 1 \/ sqrt(sum(P*(1-P))) = 1\/sqrt(40*(0.5*(1-0.5)) = 1\/ sqrt(40*0.25) \u2248 0.316<\/strong><strong>\u3002<\/strong><\/p>\n<p>\u6574\u4e2a<strong>\u8003\u8bd5\u7684\u4fe1\u606f\u91cf(<\/strong><strong>Test Information<\/strong><strong>)<\/strong>\u4e3a\uff1a<\/p>\n<p><strong>Test Information = 1 \/ square(SEM) \u2248 10 \u2248 sum(P*(1-P)) = 40*(0.5*(1-0.5) = 10<\/strong><strong>\u3002<\/strong><\/p>\n<p>\u5373\uff1a\u4e00\u4efd40\u9053\u9898\u7684\u4e24\u5206\u8003\u8bd5\uff0c\u5728IRT\u5206\u6790\u4e2d\uff0c<strong>\u7406\u8bba\u4e0a(P=0.5)\u7684\u6d4b\u8bd5\u6807\u51c6\u8bef<\/strong>\u5927\u6982\u662f0.316 (\u6ce8\u610f\uff01\u82e5\u5728CTT\u4e2d\uff0c\u8be5\u8003\u8bd5\u7684\u6807\u51c6\u8bef\u662f3.165 \u2248 1\/0.316)\u3002<\/p>\n<p>\u7531\u4e8e\u8fd9\u6837\u7684\u7279\u6027\uff0c\u5728<strong>\u81ea\u9002\u5e94\u6d4b\u9a8c<\/strong>\u4e2d\uff0c\u5e38\u5e38<strong>\u4ee5\u6d4b\u8bd5\u6807\u51c6\u8bef\u6216\u6d4b\u8bd5\u4fe1\u606f\u91cf\u6765\u4f5c\u4e3a\u786e\u5b9a\u6216\u63a7\u5236\u81ea\u9002\u5e94\u8003\u8bd5\u4e2d\u9898\u91cf\u7684\u76ee\u7684<\/strong>\u3002\u4f8b\u5982\uff1a\u5728\u8bbe\u5b9a\u8003\u8bd5\u7684\u5e73\u5747\u7b54\u5bf9\u6982\u7387\u662f0.5\uff0c\u6d4b\u8bd5\u6807\u51c6\u8bef\u63a7\u5236\u57280.5\uff0c<strong>\u6839\u636e\u516c\u5f0f\u56db<\/strong>\u8ba1\u7b97\u5f97\uff0c\u5171\u9700\u898116\u9053\u9898\u76ee\u3002\u4e0b\u8868\u4e3a\u6839\u636e\u516c\u5f0f\u56db\u8ba1\u7b97\u5f97\u51fa\u7684<strong>\u9898\u76ee\u6570\u91cf\u3001\u6d4b\u8bd5\u6807\u51c6\u8bef\u3001\u8003\u8bd5\u5e73\u5747\u7b54\u5bf9\u6982\u7387<\/strong>\u5bf9\u5e94\u8868\uff08*<strong>\u6d4b\u8bd5\u6807\u51c6\u8bef\u53ef\u7528SEM\u8868\u793a\uff0c\u4e5f\u53ef\u7528S.E.\u8868\u793a<\/strong>\uff09\u3002<\/p>\n<p><a href=\"https:\/\/www.rasch.org\/\"><img loading=\"lazy\" class=\"\" src=\" https:\/\/www.beneplot.com\/?attachment_id=314\" alt=\"\" width=\"372\" height=\"304\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u662f\u6d4b\u8bd5\u7cbe\u5ea6\u7684\u91cf\u5316\u6307\u6807\u4e4b\u4e00\uff0c\u4e0e\u6d4b\u8bd5\u4fe1\u5ea6(test reliability)\u5bc6\u5207\u76f8\u5173\uff0c\u4e24\u8005\u5173\u7cfb [&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, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.beneplot.com\/?p=289\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4fe1\u606f\u91cf (I) \u3001\u6807\u51c6\u8bef (SE) \u548c \u6d4b\u8bd5\u6807\u51c6\u8bef (SEM) - Beneplot\" \/>\n<meta property=\"og:description\" content=\"\u6d4b\u8bd5\u6807\u51c6\u8bef(SEM)\u662f\u6d4b\u8bd5\u7cbe\u5ea6\u7684\u91cf\u5316\u6307\u6807\u4e4b\u4e00\uff0c\u4e0e\u6d4b\u8bd5\u4fe1\u5ea6(test reliability)\u5bc6\u5207\u76f8\u5173\uff0c\u4e24\u8005\u5173\u7cfb [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.beneplot.com\/?p=289\" \/>\n<meta property=\"og:site_name\" content=\"Beneplot\" \/>\n<meta property=\"article:published_time\" content=\"2017-02-02T17:01:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-07-23T07:04:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.beneplot.com\/?attachment_id=314\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.beneplot.com\/#website\",\"url\":\"https:\/\/www.beneplot.com\/\",\"name\":\"Beneplot\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/www.beneplot.com\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-CN\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.beneplot.com\/?p=289#primaryimage\",\"inLanguage\":\"zh-CN\",\"url\":\" https:\/\/www.beneplot.com\/?attachment_id=314\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.beneplot.com\/?p=289#webpage\",\"url\":\"https:\/\/www.beneplot.com\/?p=289\",\"name\":\"\\u4fe1\\u606f\\u91cf (I) \\u3001\\u6807\\u51c6\\u8bef (SE) \\u548c \\u6d4b\\u8bd5\\u6807\\u51c6\\u8bef (SEM) - Beneplot\",\"isPartOf\":{\"@id\":\"https:\/\/www.beneplot.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.beneplot.com\/?p=289#primaryimage\"},\"datePublished\":\"2017-02-02T17:01:54+00:00\",\"dateModified\":\"2020-07-23T07:04:54+00:00\",\"author\":{\"@id\":\"https:\/\/www.beneplot.com\/#\/schema\/person\/ea14f85ae789ceaaa712ceee1dd1f95b\"},\"inLanguage\":\"zh-CN\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.beneplot.com\/?p=289\"]}]},{\"@type\":[\"Person\"],\"@id\":\"https:\/\/www.beneplot.com\/#\/schema\/person\/ea14f85ae789ceaaa712ceee1dd1f95b\",\"name\":\"beneplot\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.beneplot.com\/#personlogo\",\"inLanguage\":\"zh-CN\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/15d96ce801cfddbd59ef2b0d986cd9b1?s=96&r=g\",\"caption\":\"beneplot\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/posts\/289"}],"collection":[{"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=289"}],"version-history":[{"count":28,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/posts\/289\/revisions"}],"predecessor-version":[{"id":754,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=\/wp\/v2\/posts\/289\/revisions\/754"}],"wp:attachment":[{"href":"https:\/\/www.beneplot.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.beneplot.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}