{"id":60472,"date":"2026-01-15T17:17:17","date_gmt":"2026-01-15T09:17:17","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/60472.html"},"modified":"2026-01-15T17:17:17","modified_gmt":"2026-01-15T09:17:17","slug":"ab%e5%ae%9e%e9%aa%8c%e7%bb%9f%e8%ae%a1%e5%ad%a6%e5%9f%ba%e7%a1%80%ef%bc%9a%e5%ae%b9%e6%98%93%e6%b7%b7%e6%b7%86%e7%9a%84%e5%90%84%e7%a7%8d%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/60472.html","title":{"rendered":"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d"},"content":{"rendered":"<p>\u505a AB \u5b9e\u9a8c\u5206\u6790\u65f6&#xff0c;\u6700\u529d\u9000\u65b0\u4eba\u7684\u5f80\u5f80\u4e0d\u662f\u590d\u6742\u7684\u7b97\u6cd5&#xff0c;\u800c\u662f\u90a3\u4e00\u5806\u957f\u5f97\u50cf\u5b6a\u751f\u5144\u5f1f\u7684\u57fa\u7840\u540d\u8bcd&#xff1a;\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u3001\u6807\u51c6\u8bef\u5dee\u3001\u5747\u65b9\u8bef\u5dee\u2026\u2026<\/p>\n<p>\u8fd9\u51e0\u4e2a\u8bcd\u5728\u516c\u5f0f\u91cc\u770b\u7740\u90fd\u5dee\u4e0d\u591a&#xff0c;\u4f46\u5728\u5b9e\u9645\u4e1a\u52a1\u4e2d&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u7528\u6237&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u5b9e\u9a8c&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u6a21\u578b\u3002\u641e\u6df7\u4e86\u5b83\u4eec&#xff0c;\u4f60\u7684\u7f6e\u4fe1\u533a\u95f4\u7b97\u4e0d\u5bf9&#xff0c;\u663e\u8457\u6027\u7ed3\u8bba\u4e5f\u662f\u9519\u7684\u3002<\/p>\n<p>\u672c\u6587\u628a\u8fd9\u4e9b\u6700\u57fa\u7840\u3001\u6700\u5bb9\u6613\u6df7\u6dc6\u7684\u7edf\u8ba1\u5b66\u6982\u5ff5\u62ce\u51fa\u6765&#xff0c;\u505a\u4e00\u4e2a\u5f7b\u5e95\u7684\u533a\u5206\u3002<\/p>\n<hr \/>\n<h3>1. \u65b9\u5dee (Variance)<\/h3>\n<p>\u5b9a\u4e49&#xff1a;<br \/>\n\u63cf\u8ff0\u6570\u636e\u5206\u5e03\u7684\u79bb\u6563\u7a0b\u5ea6\u3002\u5b83\u8861\u91cf\u7684\u662f\u6bcf\u4e00\u4e2a\u6570\u636e\u70b9&#xff0c;\u8ddd\u79bb\u6574\u4f53\u5e73\u5747\u503c\u7684\u201c\u8ddd\u79bb\u201d\u7684\u5e73\u65b9\u548c\u7684\u5e73\u5747\u503c\u3002<\/p>\n<p>\u6570\u5b66\u516c\u5f0f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c32&#061;\u2211(Xi\u2212\u03bc)2N \\\\sigma^2 &#061; \\\\frac{\\\\sum (X_i &#8211; \\\\mu)^2}{N} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8641em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.1771em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u901a\u4fd7\u7406\u89e3&#xff1a;<br \/>\n\u65b9\u5dee\u662f**\u201c\u6ce2\u52a8\u7684\u5e73\u65b9\u201d**\u3002<br \/>\n\u60f3\u8c61\u4f60\u5728\u6253\u9776\u3002\u5982\u679c\u4f60\u7684\u5f39\u5b54\u5bc6\u5bc6\u9ebb\u9ebb\u6324\u5728 10 \u73af\u5468\u56f4&#xff0c;\u65b9\u5dee\u5c31\u5f88\u5c0f\u3002\u5982\u679c\u5f39\u5b54\u6563\u5e03\u5728\u6574\u4e2a\u9776\u5b50\u4e0a&#xff0c;\u65b9\u5dee\u5c31\u5f88\u5927\u3002<br \/>\n\u6ce8\u610f&#xff1a;\u56e0\u4e3a\u662f\u5e73\u65b9\u503c&#xff0c;\u5355\u4f4d\u53d8\u4e86\u3002\u5982\u679c\u6570\u636e\u662f\u201c\u5143\u201d&#xff0c;\u65b9\u5dee\u7684\u5355\u4f4d\u662f\u201c\u5143\u7684\u5e73\u65b9\u201d\u3002\u8fd9\u5728\u7269\u7406\u610f\u4e49\u4e0a\u5f88\u96be\u89e3\u91ca&#xff0c;\u6240\u4ee5\u6211\u4eec\u901a\u5e38\u66f4\u559c\u6b22\u7528\u6807\u51c6\u5dee\u3002<\/p>\n<p>AB\u5b9e\u9a8c\u7528\u9014&#xff1a;<br \/>\n\u5b83\u662f\u6240\u6709\u8ba1\u7b97\u7684\u57fa\u77f3\u3002\u5728\u8ba1\u7b97 T \u68c0\u9a8c\u7684\u5206\u6bcd\u65f6&#xff0c;\u7b2c\u4e00\u6b65\u6c38\u8fdc\u662f\u5148\u7b97\u51fa\u4e24\u7ec4\u6570\u636e\u7684\u65b9\u5dee\u3002<\/p>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\n\u4e3a\u4ec0\u4e48\u8981\u7528\u201c\u5e73\u65b9\u548c\u201d&#xff0c;\u800c\u4e0d\u662f\u76f4\u63a5\u7528\u201c\u6b8b\u5dee\u548c\u201d&#xff1f;<br \/>\n\u5982\u679c\u4f60\u76f4\u63a5\u8ba1\u7b97 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(Xi\u2212\u03bc)(X_i &#8211; \\\\mu)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u7684\u603b\u548c&#xff0c;\u6b63\u5411\u504f\u5dee&#xff08;\u6bd4\u5747\u503c\u5927&#xff09;\u548c\u8d1f\u5411\u504f\u5dee&#xff08;\u6bd4\u5747\u503c\u5c0f&#xff09;\u4f1a\u4e92\u76f8\u62b5\u6d88&#xff0c;\u7ed3\u679c\u6c38\u8fdc\u662f 0\u3002\u8fd9\u65e0\u6cd5\u53cd\u6620\u79bb\u6563\u7a0b\u5ea6\u3002<br \/>\n\u4e3a\u4ec0\u4e48\u8981\u7528\u201c\u5e73\u65b9\u201d\u800c\u4e0d\u662f\u201c\u7edd\u5bf9\u503c\u201d&#xff1f;<br \/>\n\u867d\u7136\u7edd\u5bf9\u503c\u4e5f\u80fd\u9632\u6b62\u62b5\u6d88&#xff0c;\u4f46\u5e73\u65b9\u51fd\u6570\u662f\u5149\u6ed1\u53ef\u5bfc\u7684&#xff0c;\u8fd9\u5728\u6570\u5b66\u63a8\u5bfc&#xff08;\u5982\u6700\u5c0f\u4e8c\u4e58\u6cd5\u3001\u6c42\u6781\u503c&#xff09;\u4e0a\u6bd4\u7edd\u5bf9\u503c\u65b9\u4fbf\u5f97\u591a\u3002\u6b64\u5916&#xff0c;\u5e73\u65b9\u4f1a\u653e\u5927\u79bb\u7fa4\u503c\u7684\u5f71\u54cd&#xff0c;\u8ba9\u6a21\u578b\u5bf9\u6781\u7aef\u8bef\u5dee\u66f4\u654f\u611f\u3002<\/p>\n<hr \/>\n<h3>2. \u6807\u51c6\u5dee (Standard Deviation, SD)<\/h3>\n<p>\u5b9a\u4e49&#xff1a;<br \/>\n\u65b9\u5dee\u7684\u7b97\u672f\u5e73\u65b9\u6839\u3002<\/p>\n<p>\u6570\u5b66\u516c\u5f0f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c3&#061;Variance \\\\sigma &#061; \\\\sqrt{\\\\text{Variance}} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.04em;vertical-align: -0.0645em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9755em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord text\"><span class=\"mord\">Variance<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.9355em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0645em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u901a\u4fd7\u7406\u89e3&#xff1a;<br \/>\n\u6807\u51c6\u5dee\u5c31\u662f**\u201c\u5e73\u5747\u6ce2\u52a8\u5e45\u5ea6\u201d**\u3002<br \/>\n\u5b83\u7684\u5355\u4f4d\u548c\u539f\u59cb\u6570\u636e\u4e00\u81f4\u3002\u5982\u679c\u7528\u6237\u4eba\u5747\u6d88\u8d39\u662f 100 \u5143&#xff0c;\u6807\u51c6\u5dee\u662f 20 \u5143&#xff0c;\u610f\u5473\u7740\u5927\u90e8\u5206\u7528\u6237\u7684\u6d88\u8d39\u5728 80 \u5230 120 \u5143\u4e4b\u95f4\u3002<\/p>\n<p>AB\u5b9e\u9a8c\u7528\u9014&#xff1a;<br \/>\n\u4e3b\u8981\u7528\u4e8e\u6570\u636e\u63a2\u7d22 (EDA)\u3002<br \/>\n\u5728\u5b9e\u9a8c\u5f00\u59cb\u524d&#xff0c;\u6211\u4eec\u4f1a\u770b\u4e00\u773c\u6570\u636e\u7684\u6807\u51c6\u5dee&#xff0c;\u5224\u65ad\u8fd9\u7fa4\u7528\u6237\u7684\u884c\u4e3a\u662f\u4e0d\u662f\u592a\u79bb\u6563\u4e86\u3002\u5982\u679c\u6807\u51c6\u5dee\u6781\u5927&#xff08;\u6bd4\u5982\u957f\u5c3e\u5206\u5e03&#xff09;&#xff0c;\u53ef\u80fd\u9700\u8981\u5148\u505a\u622a\u65ad&#xff08;Capping&#xff09;\u5904\u7406&#xff0c;\u5426\u5219\u5b9e\u9a8c\u5f88\u96be\u663e\u8457\u3002<\/p>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\nZ \u5206\u6570 (Z-score) \u7684\u539f\u59cb\u542b\u4e49<br \/>\nZ \u5206\u6570\u539f\u672c\u662f\u7528\u6765\u8861\u91cf**\u201c\u4e00\u4e2a\u4e2a\u4f53\u201d**\u6709\u591a\u7279\u7acb\u72ec\u884c\u7684\u3002<br \/>\n\u516c\u5f0f&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Z&#061;X\u2212\u03bc\u03c3Z &#061; \\\\frac{X &#8211; \\\\mu}{\\\\sigma}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2694em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9244em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.4461em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">\u03bc<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span> &#xff08;\u9664\u4ee5\u6807\u51c6\u5dee&#xff09;<\/p>\n<ul>\n<li>\u5982\u679c Z &#061; 1.96&#xff0c;\u8bf4\u660e\u8fd9\u4e2a\u7528\u6237\u5904\u4e8e Top 2.5% \u7684\u6781\u7aef\u4f4d\u7f6e\u3002<\/li>\n<li>\u5728\u6b63\u6001\u5206\u5e03\u4e2d&#xff0c;\u5747\u503c \u00b1 1.96\u4e2a\u6807\u51c6\u5dee \u7684\u8303\u56f4&#xff0c;\u8986\u76d6\u4e86 95% \u7684\u7528\u6237\u4e2a\u4f53\u6570\u636e\u3002<\/li>\n<li>\u6ce8\u610f&#xff1a; \u8fd9\u63cf\u8ff0\u7684\u662f\u6570\u636e\u7684\u5206\u5e03\u8303\u56f4&#xff0c;\u800c\u4e0d\u662f\u5b9e\u9a8c\u7ed3\u679c\u7684\u53ef\u4fe1\u8303\u56f4\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>3. \u6807\u51c6\u8bef\u5dee (Standard Error, SE)<\/h3>\n<p>\u4e5f\u88ab\u7b80\u79f0\u4e3a\u6807\u51c6\u8bef&#xff0c;\u8fd9\u662f\u6700\u5bb9\u6613\u548c\u6807\u51c6\u5dee\u641e\u6df7\u7684\u6982\u5ff5&#xff0c;\u4e5f\u662f AB \u5b9e\u9a8c\u7684\u6838\u5fc3\u3002<\/p>\n<p>\u5b9a\u4e49&#xff1a;<br \/>\n\u6837\u672c\u5747\u503c\u7684\u62bd\u6837\u5206\u5e03\u7684\u6807\u51c6\u5dee\u3002<br \/>\n\u5b83\u8861\u91cf\u7684\u4e0d\u662f\u201c\u6570\u636e\u201d\u6709\u591a\u6563&#xff0c;\u800c\u662f**\u201c\u5982\u679c\u4f60\u91cd\u590d\u505a\u5b9e\u9a8c&#xff0c;\u7b97\u51fa\u6765\u7684\u5747\u503c\u201d**\u6709\u591a\u6563\u3002<\/p>\n<p>\u6570\u5b66\u516c\u5f0f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">SE&#061;\u03c3n SE &#061; \\\\frac{\\\\sigma}{\\\\sqrt{n}} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">SE<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0376em;vertical-align: -0.93em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.3097em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8003em\"><span class=\"svg-align\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\" style=\"padding-left: 0.833em\"><span class=\"mord mathnormal\">n<\/span><\/span><\/span><span class=\"\" style=\"top: -2.7603em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"hide-tail\" style=\"min-width: 0.853em;height: 1.08em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2397em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.93em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n&#xff08;\u6807\u51c6\u5dee\u9664\u4ee5\u6839\u53f7\u6837\u672c\u91cf&#xff09;<\/p>\n<p>\u901a\u4fd7\u7406\u89e3&#xff1a;<br \/>\n\u6807\u51c6\u5dee\u63cf\u8ff0\u7684\u662f\u4e2a\u4f53\u7684\u5dee\u5f02&#xff08;\u5c0f\u660e\u548c\u5c0f\u738b\u7684\u5dee\u8ddd&#xff09;\u3002<br \/>\n\u6807\u51c6\u8bef\u5dee\u63cf\u8ff0\u7684\u662f\u5b9e\u9a8c\u7684\u7cbe\u5ea6&#xff08;\u8fd9\u6b21\u5b9e\u9a8c\u7b97\u51fa\u7684\u5747\u503c&#xff0c;\u548c\u4e0a\u5e1d\u89c6\u89d2\u7684\u771f\u5b9e\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u8ddd&#xff09;\u3002<br \/>\n\u6807\u51c6\u8bef\u5dee&#xff0c;\u5c31\u662f\u6837\u672c\u5747\u503c\u7684\u6807\u51c6\u5dee\u3002<\/p>\n<ul>\n<li>\u6837\u672c\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8d8a\u5927&#xff0c;\u5206\u6bcd\u8d8a\u5927&#xff0c;SE \u5c31\u8d8a\u5c0f\u3002\u8fd9\u610f\u5473\u7740\u5b9e\u9a8c\u505a\u5f97\u8d8a\u51c6&#xff0c;\u6d4b\u51fa\u7684\u5747\u503c\u8d8a\u53ef\u4fe1\u3002<\/li>\n<\/ul>\n<p>AB\u5b9e\u9a8c\u7528\u9014&#xff1a;<br \/>\n\u8ba1\u7b97\u7f6e\u4fe1\u533a\u95f4\u548c P \u503c\u3002<br \/>\n\u6211\u4eec\u5e38\u8bf4\u7684\u201c95% \u7f6e\u4fe1\u533a\u95f4\u201d&#xff0c;\u5c31\u662f \u5747\u503c \u00b1 1.96 * SE\u3002<br \/>\n\u5224\u65ad\u5b9e\u9a8c\u663e\u4e0d\u663e\u8457&#xff0c;\u9760\u7684\u4e0d\u662f\u6807\u51c6\u5dee&#xff0c;\u800c\u662f\u6807\u51c6\u8bef\u5dee\u3002<\/p>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\n\u5b83\u6765\u81ea\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406 (CLT)<br \/>\n\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\u544a\u8bc9\u6211\u4eec&#xff1a;\u4e0d\u7ba1\u539f\u59cb\u6570\u636e\u957f\u4ec0\u4e48\u6837&#xff0c;\u53ea\u8981\u4e0d\u65ad\u62bd\u6837\u7b97\u5747\u503c&#xff0c;\u8fd9\u4e9b**\u201c\u5747\u503c\u201d**\u7ec4\u6210\u7684\u5206\u5e03\u4e00\u5b9a\u4f1a\u8d8b\u5411\u4e8e\u6b63\u6001\u5206\u5e03\u3002<br \/>\n\u800c\u8fd9\u4e2a\u201c\u5747\u503c\u5206\u5e03\u201d\u7684\u5bbd\u5ea6&#xff0c;\u5c31\u662f\u6807\u51c6\u8bef\u5dee\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\u5047\u8bbe\u68c0\u9a8c\u91cc\u7528\u7684\u662f SE\u800c\u4e0d\u662f\u6807\u51c6\u5dee(STD)&#xff1f;<br \/>\n\u5728\u5047\u8bbe\u68c0\u9a8c\u4e2d&#xff0c;\u6211\u4eec\u8ba1\u7b97\u7684 Z \u7edf\u8ba1\u91cf&#xff0c;\u516c\u5f0f\u53d8\u6210\u4e86&#xff1a;<br \/>\n<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Z&#061;X\u02c9\u2212\u03bcSEZ &#061; \\\\frac{\\\\bar{X} &#8211; \\\\mu}{SE}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3652em;vertical-align: -0.345em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0202em\"><span class=\"\" style=\"top: -2.655em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">SE<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.4461em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord accent mtight\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8201em\"><span class=\"\" style=\"top: -2.7em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0785em\">X<\/span><\/span><span class=\"\" style=\"top: -2.9523em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord mtight\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">\u03bc<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span> &#xff08;\u9664\u4ee5\u6807\u51c6\u8bef\u5dee&#xff09;<\/p>\n<ul>\n<li>\u8fd9\u91cc\u7684 Z&#xff0c;\u8861\u91cf\u7684\u662f**\u201c\u8fd9\u6b21\u5b9e\u9a8c\u7684\u5747\u503c\u201d\u6709\u591a\u7279\u7acb\u72ec\u884c\u3002\u6807\u51c6\u8bef\u5dee&#xff0c;\u5c31\u662f\u6837\u672c\u5747\u503c**\u7684\u6807\u51c6\u5dee\u3002<\/li>\n<li>\u6240\u4ee5&#xff0c;\u6211\u4eec\u5e38\u8bf4\u7684 95% \u7f6e\u4fe1\u533a\u95f4&#xff0c;\u516c\u5f0f\u662f \u5747\u503c \u00b1 1.96 * SE\u3002<\/li>\n<li>\u5173\u952e\u533a\u522b&#xff1a; \u6807\u51c6\u5dee (SD) \u51b3\u5b9a\u4e86\u7528\u6237\u957f\u4ec0\u4e48\u6837&#xff1b;\u6807\u51c6\u8bef\u5dee (SE) \u51b3\u5b9a\u4e86\u5b9e\u9a8c\u7ed3\u8bba\u51c6\u4e0d\u51c6\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>4. \u7efc\u5408\u65b9\u5dee (Pooled Variance)<\/h3>\n<p>\u5b9a\u4e49&#xff1a;<br \/>\n\u5f53\u6211\u4eec\u8981\u6bd4\u8f83\u4e24\u4e2a\u7ec4&#xff08;\u5b9e\u9a8c\u7ec4 B \u548c\u5bf9\u7167\u7ec4 A&#xff09;\u65f6&#xff0c;\u9700\u8981\u628a\u4e24\u7ec4\u7684\u65b9\u5dee\u201c\u62fc\u201d\u5728\u4e00\u8d77&#xff0c;\u4f30\u7b97\u4e00\u4e2a\u6574\u4f53\u7684\u6ce2\u52a8\u6c34\u5e73\u3002<\/p>\n<p>\u6570\u5b66\u516c\u5f0f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Sp2&#061;(nA\u22121)SA2&#043;(nB\u22121)SB2nA&#043;nB\u22122 S_p^2 &#061; \\\\frac{(n_A-1)S_A^2 &#043; (n_B-1)S_B^2}{n_A &#043; n_B &#8211; 2} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.2472em;vertical-align: -0.3831em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3271em;vertical-align: -0.836em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4911em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.4247em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2753em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.4247em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2753em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u901a\u4fd7\u7406\u89e3&#xff1a;<br \/>\n\u8fd9\u5c31\u662f\u4e00\u4e2a\u52a0\u6743\u5e73\u5747\u3002<br \/>\nA \u7ec4\u6709 A \u7ec4\u7684\u6ce2\u52a8&#xff0c;B \u7ec4\u6709 B \u7ec4\u7684\u6ce2\u52a8\u3002\u4e3a\u4e86\u505a T \u68c0\u9a8c&#xff0c;\u6211\u4eec\u9700\u8981\u4e00\u4e2a\u7edf\u4e00\u7684\u6807\u5c3a\u3002\u7efc\u5408\u65b9\u5dee\u5c31\u662f\u628a\u4e24\u7ec4\u7684\u6ce2\u52a8\u6309\u6837\u672c\u91cf\u52a0\u6743\u5e73\u5747&#xff0c;\u7b97\u51fa\u4e00\u4e2a\u201c\u516c\u7528\u201d\u7684\u65b9\u5dee\u3002<\/p>\n<p>AB\u5b9e\u9a8c\u7528\u9014&#xff1a;<\/p>\n<li>\u7528\u4e8e T \u68c0\u9a8c (Student\u2019s t-test) \u7684\u5206\u6bcd\u8ba1\u7b97\u3002<\/li>\n<li>\u7528\u4e8e \u6700\u5c0f\u6837\u672c\u91cf (Sample Size Calculation) \u7684\u4f30\u7b97&#xff08;Power Analysis&#xff09;\u3002\u5728\u5b9e\u9a8c\u5f00\u59cb\u524d&#xff0c;\u6211\u4eec\u9700\u8981\u9884\u4f30\u4e00\u4e2a\u603b\u4f53\u65b9\u5dee\u6765\u51b3\u5b9a\u8dd1\u591a\u5c11\u6d41\u91cf&#xff0c;\u8fd9\u65f6\u5019\u7528\u7684\u5c31\u662f\u7efc\u5408\u65b9\u5dee\u3002<\/li>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\n\u4ec0\u4e48\u65f6\u5019\u52a0\u6743&#xff1f;\u4ec0\u4e48\u65f6\u5019\u76f4\u63a5\u76f8\u52a0&#xff1f;<\/p>\n<ul>\n<li>\u7efc\u5408\u65b9\u5dee (Pooled Variance)&#xff1a; \u5047\u8bbe\u4e24\u7ec4\u6570\u636e\u7684\u603b\u4f53\u65b9\u5dee\u662f\u76f8\u7b49\u7684&#xff08;Homoscedasticity&#xff09;&#xff0c;\u6211\u4eec\u53ea\u662f\u4e3a\u4e86\u7b97\u5f97\u66f4\u51c6&#xff0c;\u624d\u628a\u5b83\u4eec\u62fc\u8d77\u6765\u52a0\u6743\u3002\u8fd9\u662f\u6559\u79d1\u4e66\u91cc\u6807\u51c6 T \u68c0\u9a8c\u7684\u505a\u6cd5\u3002<\/li>\n<li>Welch\u2019s T-test&#xff08;\u5de5\u4e1a\u754c\u66f4\u5e38\u7528&#xff09;&#xff1a; \u5728\u73b0\u5b9e\u4e1a\u52a1\u4e2d&#xff0c;\u5b9e\u9a8c\u7ec4\u548c\u5bf9\u7167\u7ec4\u7684\u65b9\u5dee\u5f80\u5f80\u660e\u663e\u4e0d\u7b49&#xff08;\u6bd4\u5982\u5b9e\u9a8c\u7ec4\u4e0a\u4e86\u4e2a\u6fc0\u8fdb\u7b56\u7565&#xff0c;\u5bfc\u81f4\u7528\u6237\u884c\u4e3a\u4e24\u6781\u5206\u5316&#xff0c;\u65b9\u5dee\u53d8\u5927&#xff09;\u3002\u6b64\u65f6\u5982\u679c\u5f3a\u884c\u52a0\u6743&#xff0c;P \u503c\u4f1a\u7b97\u9519\u3002<br \/>\n\u6240\u4ee5&#xff0c;\u5de5\u4e1a\u754c AB \u5b9e\u9a8c\u5de5\u5177&#xff08;\u5982 Python \u7684 ttest_ind(equal_var&#061;False)&#xff09;\u901a\u5e38\u9ed8\u8ba4\u4f7f\u7528 Welch \u516c\u5f0f\u3002\u5b83\u4e0d\u8ba1\u7b97\u7efc\u5408\u65b9\u5dee&#xff0c;\u800c\u662f\u76f4\u63a5\u628a\u4e24\u7ec4\u7684\u6807\u51c6\u8bef\u5e73\u65b9\u76f8\u52a0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">SE\u0394&#061;SA2nA&#043;SB2nB SE_{\\\\Delta} &#061; \\\\sqrt{\\\\frac{S_A^2}{n_A} &#043; \\\\frac{S_B^2}{n_B}} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u0394<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.04em;vertical-align: -1.0844em\"><\/span><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.9556em\"><span class=\"svg-align\" style=\"top: -5em\"><span class=\"pstrut\" style=\"height: 5em\"><\/span><span class=\"mord\" style=\"padding-left: 1em\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4794em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.6835em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7959em\"><span class=\"\" style=\"top: -2.4065em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><span class=\"\" style=\"top: -3.0448em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4794em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.6835em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7959em\"><span class=\"\" style=\"top: -2.4065em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><span class=\"\" style=\"top: -3.0448em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2935em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.836em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.9156em\"><span class=\"pstrut\" style=\"height: 5em\"><\/span><span class=\"hide-tail\" style=\"min-width: 1.02em;height: 3.08em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0844em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5450&#xff0c;\u5c31\u662f\u8fd9\u4e2a\u516c\u5f0f\u3002 \u5b83\u662f\u8ba1\u7b97 T \u5206\u6570\u5206\u6bcd\u6700\u7a33\u5065\u7684\u65b9\u6cd5&#xff0c;\u4e0d\u7ba1\u4e24\u7ec4\u65b9\u5dee\u662f\u5426\u76f8\u7b49&#xff0c;\u7528\u5b83\u90fd\u6ca1\u6bdb\u75c5\u3002 \u4e0d\u8fc7\u6ce8\u610f\u770b&#xff1a;<\/p>\n<ul>\n<li>\u5206\u5b50 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S2S^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5185\u90e8\u5df2\u7ecf\u9664\u8fc7 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">n\u22121n-1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u4e86\u3002<\/li>\n<li>\u5916\u9762\u7684\u5206\u6bcd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u662f\u6765\u81ea\u4e8e\u201c\u5747\u503c\u62bd\u6837\u5206\u5e03\u201d\u7684\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406&#xff08;\u6837\u672c\u91cf\u8d8a\u5927&#xff0c;\u5747\u503c\u8d8a\u7a33&#xff09;\u3002\u8fd9\u4e2a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4ee3\u8868\u7684\u662f\u6837\u672c\u6570\u91cf\u7684\u7f29\u653e\u6548\u5e94&#xff0c;\u4e0d\u9700\u8981\u51cf 1\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr \/>\n<h3>5. \u5747\u65b9\u8bef\u5dee (Mean Squared Error, MSE)<\/h3>\n<p>\u5b9a\u4e49&#xff1a;<br \/>\n\u9884\u6d4b\u503c\u4e0e\u771f\u5b9e\u503c\u4e4b\u5dee\u7684\u5e73\u65b9\u7684\u671f\u671b\u503c\u3002<\/p>\n<p>\u6570\u5b66\u516c\u5f0f&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">MSE&#061;1n\u2211(Yi\u2212Y^i)2 MSE &#061; \\\\frac{1}{n} \\\\sum (Y_i &#8211; \\\\hat{Y}_i)^2 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">MSE<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.0074em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">n<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-symbol large-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1968em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u901a\u4fd7\u7406\u89e3&#xff1a;<br \/>\n\u8fd9\u662f\u9884\u6d4b\u6a21\u578b\u7684\u8003\u5377\u5206\u6570\u3002<br \/>\n\u5982\u679c\u8bf4\u65b9\u5dee\u662f\u63cf\u8ff0\u6570\u636e\u81ea\u5df1\u4e71\u4e0d\u4e71&#xff0c;MSE \u5c31\u662f\u63cf\u8ff0\u4f60\u731c\u5f97\u51c6\u4e0d\u51c6\u3002<br \/>\n\u5982\u679c\u4f60\u7684\u9884\u6d4b\u6a21\u578b&#xff08;\u6bd4\u5982 CUPED \u91cc\u7684\u56de\u5f52\u6a21\u578b&#xff09;\u5b8c\u7f8e\u9884\u6d4b\u4e86\u6bcf\u4e00\u4e2a\u70b9&#xff0c;MSE \u5c31\u662f 0\u3002<\/p>\n<p>AB\u5b9e\u9a8c\u7528\u9014&#xff1a;<br \/>\n\u4e3b\u8981\u51fa\u73b0\u5728 CUPED (\u65b9\u5dee\u7f29\u51cf) \u6216 \u56de\u5f52\u5206\u6790 \u4e2d\u3002<br \/>\nCUPED \u7684\u6838\u5fc3\u76ee\u6807&#xff0c;\u5c31\u662f\u901a\u8fc7\u5f15\u5165\u5386\u53f2\u6570\u636e&#xff0c;\u8ba9\u4fee\u6b63\u540e\u6307\u6807\u7684 MSE&#xff08;\u6216\u8005\u8bf4\u6b8b\u5dee\u7684\u65b9\u5dee&#xff09;\u53d8\u5f97\u6700\u5c0f\u3002<\/p>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\nMSE vs \u65b9\u5dee<br \/>\n\u770b\u516c\u5f0f&#xff0c;MSE \u548c\u65b9\u5dee\u957f\u5f97\u975e\u5e38\u50cf&#xff0c;\u90fd\u662f\u201c\u5dee\u503c\u7684\u5e73\u65b9\u548c\u9664\u4ee5 N\u201d\u3002<\/p>\n<ul>\n<li>\u65b9\u5dee\u51cf\u53bb\u7684\u662f\u5747\u503c&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bc\\\\mu<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">\u03bc<\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u5b83\u8861\u91cf\u7684\u662f\u6570\u636e\u81ea\u8eab\u7684\u79bb\u6563\u5ea6\u3002<\/li>\n<li>MSE \u51cf\u53bb\u7684\u662f\u9884\u6d4b\u503c&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Y^\\\\hat{Y}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9468em\"><\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.25em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff09;&#xff0c;\u5b83\u8861\u91cf\u7684\u662f\u6a21\u578b\u62df\u5408\u7684\u597d\u574f\u3002<br \/>\n\u5728 AB \u5b9e\u9a8c\u4e2d&#xff0c;MSE \u66f4\u591a\u51fa\u73b0\u5728\u504f\u673a\u5668\u5b66\u4e60\u6216\u76f8\u5173\u6027\u5206\u6790\u7684\u573a\u666f\u4e0b&#xff08;\u5982 CUPED \u56de\u5f52\u3001\u56e0\u679c\u63a8\u65ad\u6a21\u578b&#xff09;&#xff0c;\u7528\u6765\u8bc4\u4f30\u6211\u4eec\u5f15\u5165\u534f\u53d8\u91cf\u540e&#xff0c;\u5230\u5e95\u6d88\u9664\u4e86\u591a\u5c11\u566a\u97f3\u3002<\/li>\n<\/ul>\n<hr \/>\n<h3>6. \u603b\u4f53\u65b9\u5dee VS \u6837\u672c\u65b9\u5dee<\/h3>\n<p>\u8fd9\u662f\u7edf\u8ba1\u63a8\u65ad\u4e2d\u6700\u57fa\u7840\u4f46\u4e5f\u6700\u5bb9\u6613\u88ab\u5ffd\u89c6\u7684\u533a\u522b\u3002<\/p>\n<p>\u5b9a\u4e49\u533a\u522b&#xff1a;<\/p>\n<ul>\n<li>\u603b\u4f53\u65b9\u5dee (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c32\\\\sigma^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)&#xff1a; \u4e0a\u5e1d\u89c6\u89d2\u3002\u5047\u8bbe\u4f60\u80fd\u83b7\u53d6\u5168\u4eba\u7c7b\u7684\u6570\u636e&#xff0c;\u7b97\u51fa\u6765\u7684\u90a3\u4e2a\u65b9\u5dee\u3002<\/li>\n<li>\u6837\u672c\u65b9\u5dee (<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S2S^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)&#xff1a; \u51e1\u4eba\u89c6\u89d2\u3002\u4f60\u53ea\u6293\u53d6\u4e86 10 \u4e07\u4e2a\u7528\u6237&#xff08;\u6837\u672c&#xff09;&#xff0c;\u7b97\u51fa\u6765\u7684\u8fd9\u7fa4\u4eba\u7684\u65b9\u5dee\u3002<\/li>\n<\/ul>\n<p>AB\u5b9e\u9a8c\u4e2d\u7684\u73b0\u5b9e&#xff1a;<br \/>\n\u5728\u505a AB \u5b9e\u9a8c\u65f6&#xff0c;\u6211\u4eec\u60f3\u63a8\u65ad\u7684\u662f\u201c\u603b\u4f53\u201d&#xff08;\u6240\u6709\u6f5c\u5728\u7528\u6237&#xff09;\u7684\u53cd\u5e94\u3002\u4f46\u6211\u4eec\u6c38\u8fdc\u65e0\u6cd5\u77e5\u9053\u201c\u603b\u4f53\u201d\u7684\u771f\u5b9e\u65b9\u5dee\u3002<br \/>\n\u6211\u4eec\u624b\u91cc\u6709\u7684&#xff0c;\u6c38\u8fdc\u53ea\u6709\u201c\u6837\u672c\u65b9\u5dee\u201d\u3002<br \/>\n\u6240\u4ee5&#xff0c;\u6211\u4eec\u5728\u505a\u5047\u8bbe\u68c0\u9a8c&#xff08;T-test&#xff09;\u65f6&#xff0c;\u5b9e\u9645\u4e0a\u662f\u7528\u6837\u672c\u65b9\u5dee\u53bb\u4ee3\u66ff\/\u4f30\u8ba1\u603b\u4f53\u65b9\u5dee\u3002<\/p>\n<p>\u6df1\u523b\u89e3\u8bfb&#xff1a;<br \/>\n\u4e3a\u4ec0\u4e48\u6837\u672c\u65b9\u5dee\u5206\u6bcd\u662f N-1&#xff1f;&#xff08;\u65e0\u504f\u4f30\u8ba1\u4e0e\u81ea\u7531\u5ea6&#xff09;<br \/>\n\u5f53\u4f60\u7528\u6837\u672c\u5747\u503c\u53bb\u4f30\u7b97\u603b\u4f53\u5747\u503c\u65f6&#xff0c;\u4f60\u5df2\u7ecf\u7528\u6389\u4e86\u4e00\u4e2a\u4fe1\u606f\u91cf&#xff08;\u81ea\u7531\u5ea6&#xff09;\u3002<br \/>\n\u5982\u679c\u4f60\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\u65f6\u5206\u6bcd\u8fd8\u7528 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">NN<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u7b97\u51fa\u6765\u7684\u7ed3\u679c\u4f1a\u6bd4\u771f\u5b9e\u603b\u4f53\u65b9\u5dee\u504f\u5c0f&#xff08;\u6709\u504f\u4f30\u8ba1&#xff09;\u3002<br \/>\n\u4e3a\u4e86\u7ea0\u6b63\u8fd9\u4e2a\u504f\u5dee&#xff0c;\u7edf\u8ba1\u5b66\u5bb6\u628a\u5206\u6bcd\u6539\u6210\u4e86 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">N\u22121N-1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u3002\u8fd9\u88ab\u79f0\u4e3a\u8d1d\u585e\u5c14\u6821\u6b63 (Bessel\u2019s Correction)\u3002<br \/>\n\u8fd9\u5c31\u597d\u6bd4\u4f60\u7528\u4e00\u628a\u5c3a\u5b50\u53bb\u91cf\u4e1c\u897f&#xff0c;\u56e0\u4e3a\u5c3a\u5b50\u672c\u8eab\u53ef\u80fd\u6709\u8bef\u5dee&#xff0c;\u6240\u4ee5\u6211\u4eec\u6545\u610f\u628a\u8bfb\u6570\u653e\u5927\u4e00\u70b9\u70b9&#xff0c;\u4ee5\u786e\u4fdd\u4e0d\u4f1a\u4f4e\u4f30\u771f\u5b9e\u7684\u6ce2\u52a8\u3002<\/p>\n<hr \/>\n<h3>\u603b\u7ed3&#xff1a;\u4e00\u5f20\u8868\u770b\u61c2<\/h3>\n<table>\n<tr>\u540d\u8bcd\u7b26\u53f7\u6838\u5fc3\u542b\u4e49\u8c01\u53d8\u5927\u5b83\u53d8\u5c0f&#xff1f;\u5178\u578b\u573a\u666f<\/tr>\n<tbody>\n<tr>\n<td align=\"left\">\u65b9\u5dee<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c32\\\\sigma^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u6570\u636e\u7684\u6ce2\u52a8&#xff08;\u5e73\u65b9\u7ea7&#xff09;<\/td>\n<td align=\"left\">\u6570\u636e\u8d8a\u96c6\u4e2d<\/td>\n<td align=\"left\">\u4e2d\u95f4\u8ba1\u7b97\u8fc7\u7a0b<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u6807\u51c6\u5dee<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c3\\\\sigma<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c3<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u6570\u636e\u7684\u6ce2\u52a8&#xff08;\u539f\u59cb\u91cf\u7ea7&#xff09;<\/td>\n<td align=\"left\">\u6570\u636e\u8d8a\u96c6\u4e2d<\/td>\n<td align=\"left\">\u770b\u7528\u6237\u753b\u50cf\u5206\u5e03<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u6807\u51c6\u8bef\u5dee<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">SESE<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">SE<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u5747\u503c\u7684\u6d4b\u7b97\u7cbe\u5ea6<\/td>\n<td align=\"left\">\u6837\u672c\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u8d8a\u5927<\/td>\n<td align=\"left\">\u7b97 P \u503c\u3001\u7f6e\u4fe1\u533a\u95f4<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u7efc\u5408\u65b9\u5dee<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Sp2S_p^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1972em;vertical-align: -0.3831em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">p<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u4e24\u7ec4\u6570\u636e\u7684\u52a0\u6743\u6ce2\u52a8<\/td>\n<td align=\"left\">\/<\/td>\n<td align=\"left\">T \u68c0\u9a8c\u516c\u5f0f\u5206\u6bcd\u3001\u7b97\u6700\u5c0f\u6837\u672c\u91cf<\/td>\n<\/tr>\n<tr>\n<td align=\"left\">\u5747\u65b9\u8bef\u5dee<\/td>\n<td align=\"left\"><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MSEMSE<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">MSE<\/span><\/span><\/span><\/span><\/span><\/td>\n<td align=\"left\">\u9884\u6d4b\u51c6\u4e0d\u51c6<\/td>\n<td align=\"left\">\u6a21\u578b\u8d8a\u597d<\/td>\n<td align=\"left\">CUPED\u3001\u56de\u5f52\u5206\u6790<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u907f\u5751\u6307\u5357&#xff1a;<\/p>\n<ul>\n<li>\u8001\u677f\u95ee\u201c\u7528\u6237\u5dee\u5f02\u5927\u4e0d\u5927\u201d&#xff0c;\u770b\u6807\u51c6\u5dee\u3002<\/li>\n<li>\u8001\u677f\u95ee\u201c\u5b9e\u9a8c\u7ed3\u679c\u51c6\u4e0d\u51c6\u201d\u3001\u201c\u663e\u4e0d\u663e\u8457\u201d&#xff0c;\u770b\u6807\u51c6\u8bef\u5dee\u3002<\/li>\n<li>\u505a CUPED \u964d\u566a\u65f6&#xff0c;\u5173\u6ce8 MSE\u3002<\/li>\n<li>\u516c\u5f0f\u91cc\u5206\u6bcd\u662f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">N\u22121N-1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span> \u65f6&#xff0c;\u8bf4\u660e\u6211\u4eec\u5728\u7528\u6837\u672c\u4f30\u7b97\u603b\u4f53\u3002<\/li>\n<\/ul>\n<p>\u641e\u6e05\u695a\u8fd9\u51e0\u4e2a\u201c\u5dee\u201d&#xff0c;AB \u5b9e\u9a8c\u7684\u7edf\u8ba1\u5b66\u95e8\u69db\u4f60\u5c31\u8de8\u8fc7\u53bb\u4e86\u4e00\u534a\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u505a AB \u5b9e\u9a8c\u5206\u6790\u65f6&#xff0c;\u6700\u529d\u9000\u65b0\u4eba\u7684\u5f80\u5f80\u4e0d\u662f\u590d\u6742\u7684\u7b97\u6cd5&#xff0c;\u800c\u662f\u90a3\u4e00\u5806\u957f\u5f97\u50cf\u5b6a\u751f\u5144\u5f1f\u7684\u57fa\u7840\u540d\u8bcd&#xff1a;\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u3001\u6807\u51c6\u8bef\u5dee\u3001\u5747\u65b9\u8bef\u5dee\u2026\u2026<br \/>\n\u8fd9\u51e0\u4e2a\u8bcd\u5728\u516c\u5f0f\u91cc\u770b\u7740\u90fd\u5dee\u4e0d\u591a&#xff0c;\u4f46\u5728\u5b9e\u9645\u4e1a\u52a1\u4e2d&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u7528\u6237&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u5b9e\u9a8c&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u6a21\u578b\u3002\u641e\u6df7\u4e86\u5b83\u4eec&#xff0c;\u4f60\u7684\u7f6e\u4fe1\u533a\u95f4\u7b97\u4e0d\u5bf9&#xff0c;\u663e\u8457\u6027\u7ed3\u8bba\u4e5f\u662f\u9519\u7684\u3002<br \/>\n\u672c\u6587\u628a\u8fd9\u4e9b\u6700\u57fa\u7840\u3001\u6700\u5bb9\u6613\u6df7\u6dc6\u7684\u7edf\u8ba1\u5b66\u6982\u5ff5\u62ce\u51fa\u6765&#xff0c;\u505a\u4e00\u4e2a\u5f7b\u5e95<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[6376,3591],"topic":[],"class_list":["post-60472","post","type-post","status-publish","format-standard","hentry","category-server","tag-abtest","tag-3591"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/60472.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u505a AB \u5b9e\u9a8c\u5206\u6790\u65f6&#xff0c;\u6700\u529d\u9000\u65b0\u4eba\u7684\u5f80\u5f80\u4e0d\u662f\u590d\u6742\u7684\u7b97\u6cd5&#xff0c;\u800c\u662f\u90a3\u4e00\u5806\u957f\u5f97\u50cf\u5b6a\u751f\u5144\u5f1f\u7684\u57fa\u7840\u540d\u8bcd&#xff1a;\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u3001\u6807\u51c6\u8bef\u5dee\u3001\u5747\u65b9\u8bef\u5dee\u2026\u2026 \u8fd9\u51e0\u4e2a\u8bcd\u5728\u516c\u5f0f\u91cc\u770b\u7740\u90fd\u5dee\u4e0d\u591a&#xff0c;\u4f46\u5728\u5b9e\u9645\u4e1a\u52a1\u4e2d&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u7528\u6237&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u5b9e\u9a8c&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u6a21\u578b\u3002\u641e\u6df7\u4e86\u5b83\u4eec&#xff0c;\u4f60\u7684\u7f6e\u4fe1\u533a\u95f4\u7b97\u4e0d\u5bf9&#xff0c;\u663e\u8457\u6027\u7ed3\u8bba\u4e5f\u662f\u9519\u7684\u3002 \u672c\u6587\u628a\u8fd9\u4e9b\u6700\u57fa\u7840\u3001\u6700\u5bb9\u6613\u6df7\u6dc6\u7684\u7edf\u8ba1\u5b66\u6982\u5ff5\u62ce\u51fa\u6765&#xff0c;\u505a\u4e00\u4e2a\u5f7b\u5e95\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/60472.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-01-15T09:17:17+00:00\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/60472.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/60472.html\",\"name\":\"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2026-01-15T09:17:17+00:00\",\"dateModified\":\"2026-01-15T09:17:17+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/60472.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/60472.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/60472.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/60472.html","og_locale":"zh_CN","og_type":"article","og_title":"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u505a AB \u5b9e\u9a8c\u5206\u6790\u65f6&#xff0c;\u6700\u529d\u9000\u65b0\u4eba\u7684\u5f80\u5f80\u4e0d\u662f\u590d\u6742\u7684\u7b97\u6cd5&#xff0c;\u800c\u662f\u90a3\u4e00\u5806\u957f\u5f97\u50cf\u5b6a\u751f\u5144\u5f1f\u7684\u57fa\u7840\u540d\u8bcd&#xff1a;\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u3001\u6807\u51c6\u8bef\u5dee\u3001\u5747\u65b9\u8bef\u5dee\u2026\u2026 \u8fd9\u51e0\u4e2a\u8bcd\u5728\u516c\u5f0f\u91cc\u770b\u7740\u90fd\u5dee\u4e0d\u591a&#xff0c;\u4f46\u5728\u5b9e\u9645\u4e1a\u52a1\u4e2d&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u7528\u6237&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u5b9e\u9a8c&#xff0c;\u6709\u7684\u7528\u6765\u63cf\u8ff0\u6a21\u578b\u3002\u641e\u6df7\u4e86\u5b83\u4eec&#xff0c;\u4f60\u7684\u7f6e\u4fe1\u533a\u95f4\u7b97\u4e0d\u5bf9&#xff0c;\u663e\u8457\u6027\u7ed3\u8bba\u4e5f\u662f\u9519\u7684\u3002 \u672c\u6587\u628a\u8fd9\u4e9b\u6700\u57fa\u7840\u3001\u6700\u5bb9\u6613\u6df7\u6dc6\u7684\u7edf\u8ba1\u5b66\u6982\u5ff5\u62ce\u51fa\u6765&#xff0c;\u505a\u4e00\u4e2a\u5f7b\u5e95","og_url":"https:\/\/www.wsisp.com\/helps\/60472.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2026-01-15T09:17:17+00:00","author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"3 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/60472.html","url":"https:\/\/www.wsisp.com\/helps\/60472.html","name":"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2026-01-15T09:17:17+00:00","dateModified":"2026-01-15T09:17:17+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/60472.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/60472.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/60472.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"AB\u5b9e\u9a8c\u7edf\u8ba1\u5b66\u57fa\u7840\uff1a\u5bb9\u6613\u6df7\u6dc6\u7684\u5404\u79cd\u201c\u5dee\u201d"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/60472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=60472"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/60472\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=60472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=60472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=60472"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=60472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}