{"id":3880,"date":"2013-09-29T20:45:53","date_gmt":"2013-09-29T12:45:53","guid":{"rendered":"http:\/\/lttt.blog.ustc.edu.cn\/?p=3880"},"modified":"2013-09-29T20:45:53","modified_gmt":"2013-09-29T12:45:53","slug":"%e5%ae%9e%e9%aa%8c%e6%95%b0%e6%8d%ae%e7%8b%ac%e7%ab%8b%e6%80%a7%e6%a3%80%e9%aa%8c%e5%b0%8f%e8%ae%b0","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=3880","title":{"rendered":"\u5b9e\u9a8c\u6570\u636e\u72ec\u7acb\u6027\u68c0\u9a8c\u5c0f\u8bb0"},"content":{"rendered":"<p>\u68c0\u9a8cA,B\u4e24\u7ec4\u6570\u636e\u7684\u76f8\u5173\u6027\u662f\u5b9e\u9a8c\u4e2d\u7ecf\u5e38\u78b0\u5230\u7684\u95ee\u9898. \u5728\u672c\u6587\u4e2d\u6211\u5c06\u4ee5\u5177\u4f53\u4f8b\u5b50\u6765\u8bf4\u660e\u5982\u4f55\u5728Excel\u4e2d\u505a\u72ec\u7acb\u6027\u6d4b\u8bd5, \u8fd9\u91cc\u6211\u7528\u7684\u662f<strong>\u5361\u65b9\u68c0\u9a8c<\/strong>.<\/p>\n<h3 class=\"wmd-title\" id=\"\u5361\u65b9\u505a\u72ec\u7acb\u6027\u68c0\u9a8c\u4e3e\u4f8b\">\u5361\u65b9\u505a\u72ec\u7acb\u6027\u68c0\u9a8c\u4e3e\u4f8b<\/h3>\n<div class=\"latex_examp\">\n<p><strong>Example . <\/strong>\u5047\u8bbeA,B\u4e24\u7ec4\u6570\u636e\u5982\u4e0b(\u5b8c\u6574\u7684\u6570\u636e\u53ef\u4ee5\u770b\u6587\u672b\u7684xls\u9644\u4ef6), \u6559\u7a0b\u4e2d\u53ea\u4ee5\u56fe\u5f62\u7684\u65b9\u5f0f\u52a0\u4ee5\u8bf4\u660e:<!--more--><\/p>\n<p><img decoding=\"async\" title=\"\u68c0\u9a8c\u6570\u636e\" alt=\"\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8cdata\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/data.png\" \/><\/p>\n<p>\u8bd5\u7528\u5361\u65b9\u68c0\u9a8c\u6765\u8bf4\u660e$A\\geq1$\u4e0e$B\\geq1$\u662f\u5426\u662f\u76f8\u5173\u7684.<\/p>\n<\/div>\n<p>\u5f53\u7136, \u8fd9\u91cc$1$\u7684\u9009\u53d6\u662f\u6709\u76f8\u5e94\u7684\u5b9e\u9645\u610f\u4e49\u7684, \u9700\u8981\u6839\u636e\u4f60\u7684\u5b9e\u9a8c\u505a\u76f8\u5e94\u7684\u8c03\u6574. \u4f46\u662f\u4e00\u822c\u90fd\u662f\u5bf9\u7167\u5b9e\u9a8c, \u56e0\u6b64\u8fd9\u91cc$A\\geq a$\u4e0e$B\\geq b$\u4e2d$a$\u5e94\u8be5\u7b49\u4e8e$b$, \u5426\u5219\u4e0d\u80fd\u4f5c\u4e3a\u5bf9\u7167.<\/p>\n<h4 class=\"wmd-title\" id=\"\u7edf\u8ba1\u5c0f\u77e5\u8bc6\">\u7edf\u8ba1\u5c0f\u77e5\u8bc6<\/h4>\n<p>\u5173\u4e8e\u5361\u65b9\u68c0\u9a8c\u7684\u4e00\u70b9\u5c0f\u77e5\u8bc6.<\/p>\n<div class=\"latex_rem\">\n<p><strong>Remark .<\/strong>\u6211\u4eec\u5fc5\u987b\u6ce8\u610f, \u7edf\u8ba1\u68c0\u9a8c\u76f8\u5bf9\u4e8e\u53cd\u8bc1\u6cd5. \u6211\u4eec\u60f3\u8981\u8bf4\u660e\u6570\u636e\u662f\u76f8\u5173\u7684, \u4ece\u800c\u5728\u7528\u7edf\u8ba1\u89c4\u5f8b\u4f5c\u4e3a\u5de5\u5177\u65f6, \u6211\u4eec\u53cd\u8bbe\u6570\u636e\u662f\u72ec\u7acb\u7684(\u4f5c\u4e3a$H_0$\u5047\u8bbe).<\/p>\n<p>\u6211\u4eec\u5c06\u5229\u7528Excel\u8ba1\u7b97\u5361\u65b9\u7edf\u8ba1\u503c$\\chi^2$, \u5e76\u6bd4\u8f83\u5b83\u4e0e\u5728\u7ed9\u5b9a\u7684\u663e\u8457\u6c34\u5e73$\\alpha$($\\alpha$\u4e00\u822c\u53d6\u4e3a0.05,0.01, \u4e5f\u53ef\u53c2\u8003\u4e13\u4e1a\u7684\u6570\u636e\u5e93, \u6bd5\u7adf\u5404\u884c\u5404\u4e1a\u4e0d\u4e00\u6837)\u4e0b\u7684\u4e34\u754c\u503c$\\chi^2_\\alpha$\u7684\u5927\u5c0f. \u5982\u679c$\\chi^2&lt;\\chi_\\alpha^2$, \u5219\u63a5\u53d7$H_0$\u5047\u8bbe(\u6b64\u65f6\u7edf\u8ba1\u63a8\u65ad\u7684\u7ed3\u8bba\u662f\u6570\u636e\u662f\u72ec\u7acb\u7684), \u5426\u5219\u62d2\u7edd$H_0$\u5047\u8bbe(\u6b64\u65f6\u7edf\u8ba1\u63a8\u65ad\u7684\u7ed3\u8bba\u662f\u6570\u636e\u662f\u76f8\u5173\u7684).<\/p>\n<\/div>\n<h4 class=\"wmd-title\" id=\"\u8ba1\u7b97\u5b9e\u9645\u9891\u6570\u4e0e\u7406\u8bba\u9891\u6570\">\u8ba1\u7b97\u5b9e\u9645\u9891\u6570\u4e0e\u7406\u8bba\u9891\u6570<\/h4>\n<p>\u6839\u636e\u5361\u65b9\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\u516c\u5f0f:<\/p>\n<p>$$\\begin{equation}\\label{eq:1}<br \/>\n\\chi^2=\\sum_{i=1}^r\\sum_{j=1}^c\\frac{(A_{ij}-E_{ij})^2}{E_{ij}},<br \/>\n\\end{equation}$$<br \/>\n\u8fd9\u91cc, $r$\u4e3a\u884c\u6570, $c$\u4e3a\u5217\u6570, \u800c$A_{ij}$\u4e3a\u7b2c$i$\u884c$j$\u5217\u7684\u5b9e\u9645\u9891\u6570, $E_{ij}$\u4e3a\u5176\u7406\u8bba\u9891\u6570.<\/p>\n<p>\u4ece\u516c\u5f0f$\\eqref{eq:1}$, \u6211\u4eec\u77e5\u9053\u9700\u8981\u8ba1\u7b97\u4e0a\u9762\u4e24\u7ec4\u6570\u636e\u7684\u5b9e\u9645\u9891\u6570\u4e0e\u7406\u8bba\u9891\u6570.<\/p>\n<h5 class=\"wmd-title\" id=\"\u5b9e\u9645\u9891\u6570\u7684\u7edf\u8ba1\">\u5b9e\u9645\u9891\u6570\u7684\u7edf\u8ba1<\/h5>\n<p>\u5229\u7528Excel\u7684<code>COUNTIFS<\/code>\u51fd\u6570\u53ef\u4ee5\u975e\u5e38\u65b9\u4fbf\u7684\u7edf\u8ba1\u5b9e\u9645\u9891\u6570.<\/p>\n<ul>\n<li>\u5728Excel\u4e2d\u6309\u7167\u4e0b\u56fe\u505a\u597d\u8868\u683c, \u6700\u597d\u4fdd\u6301\u5355\u5143\u683c\u4e00\u81f4, \u5373\u4ece<code>H2<\/code>\u5230<code>K6<\/code>\u7684\u8303\u56f4, \u8fd9\u5728\u540e\u9762\u516c\u5f0f\u7684\u5f15\u7528\u65f6, \u53ef\u4ee5\u65b9\u4fbf\u5730\u548c\u6587\u4e2d\u5bf9\u7167.<br \/>\n<a href=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file.png\"><img decoding=\"async\" title=\"\u5b9e\u9645\u9891\u6570\u8868\" alt=\"\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8c\u5b9e\u9645\u9891\u6570\u8868\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file.png\" width=\"95%\" \/><\/a><\/li>\n<li>\u5728<code>I4<\/code>\u4e2d\u5f55\u5165<code>=COUNTIFS($A$1:$A$50,\"&gt;=1\",$B$1:$B$50,\"&gt;=1\")<\/code>\u5b83\u8868\u793a\u7edf\u8ba1$$A\u5217\u6570\u636e(\u4ece<code>A1<\/code>\u5230<code>A50<\/code>\u4e2d\u6ee1\u8db3$\\geq1$\u4e14$B$\u5217\u6570\u636e\u4e2d\u6ee1\u8db3$\\geq1$\u7684\u6570\u636e\u7684\u4e2a\u6570).<\/li>\n<li>\u540c\u6837\u7684\u9053\u7406, \u5728<code>J4<\/code>\u4e2d\u5f55\u5165<code>=COUNTIFS($A$1:$A$50,\"&lt;1\",$B$1:$B$50,\"&gt;=1\")<\/code>;\u5728<code>I5<\/code>\u4e2d\u5f55\u5165<code>=COUNTIFS($A$1:$A$50,\"&gt;1\",$B$1:$B$50,\"&lt;1\")<\/code>;\u5728<code>J5<\/code>\u4e2d\u5f55\u5165<code>=COUNTIFS($A$1:$A$50,\"&lt;1\",$B$1:$B$50,\"&lt;1\")<\/code>.<\/li>\n<li>\u4e3a\u4e86\u8ba1\u7b97<strong>\u7406\u8bba\u9891\u6570<\/strong>, \u6211\u4eec\u9996\u5148\u9700\u8981\u5bf9\u5b9e\u9645\u9891\u6570\u7684\u5404\u884c\u4ee5\u53ca\u5404\u5217\u6c42\u548c: \u5728<code>K4<\/code>\u4e2d\u5f55\u5165<code>=SUM(I4:J4)<\/code>\u8ba1\u7b97\u7b2c\u4e00\u884c\u7684\u548c; \u5728<code>K5<\/code>\u4e2d\u5f55\u5165<code>=SUM(I5:J5)<\/code>\u8ba1\u7b97\u7b2c\u4e8c\u884c\u7684\u548c;\u5728<code>I6<\/code>\u4e2d\u5f55\u5165<code>=SUM(I4:I5)<\/code>\u4ee5\u8ba1\u7b97\u7b2c\u4e00\u5217\u7684\u548c, \u5728<code>J6<\/code>\u4e2d\u5f55\u5165<code>=SUM(J4:J5)<\/code>\u8ba1\u7b97\u7b2c\u4e8c\u5217\u7684\u548c.<\/li>\n<li>\u5728<code>K6<\/code>\u4e2d\u5f55\u5165<code>=SUM(J4:J5)<\/code>\u6765\u8ba1\u7b97\u5404\u884c\u5404\u5217\u6570\u636e\u7684\u548c.<\/li>\n<li>\u8ba1\u7b97\u7ed3\u679c\u53c2\u8003\u4e0b\u56fe, \u79f0\u4e3a\u5b9e\u9645\u9891\u6570\u8868\u6216\u8005\u5217\u8054\u8868<br \/>\n<a href=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file-1.png\"><img decoding=\"async\" title=\"\u5b9e\u9645\u9891\u6570\" alt=\"\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8c\u5b9e\u9645\u9891\u6570\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file-1.png\" width=\"95%\" \/><\/a><\/li>\n<\/ul>\n<h5 class=\"wmd-title\" id=\"\u7406\u8bba\u9891\u6570\u7684\u8ba1\u7b97\">\u7406\u8bba\u9891\u6570\u7684\u8ba1\u7b97<\/h5>\n<p>\u5404\u4e2a\u6b65\u9aa4\u53ef\u4ee5\u53c2\u8003\u4e0b\u8868(\u6700\u7ec8\u6548\u679c\u56fe)\u6267\u884c:<br \/>\n<a href=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file-2.png\"><img decoding=\"async\" title=\"\u5361\u65b9\u68c0\u9a8c\u7ed3\u679c\" alt=\"\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8c\u7ed3\u679c\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/unnamed-file-2.png\" width=\"95%\" \/><\/a><\/p>\n<ul>\n<li>\u5728<code>I11<\/code>\u4e2d\u5f55\u5165<code>=I6*K4\/$K$6<\/code>\u4ee5\u8ba1\u7b97\u7b2c\u4e00\u884c\u7b2c\u4e00\u5217\u8fd9\u4e2a\u5355\u5143\u683c\u7684\u7406\u8bba\u9891\u6570, \u8fd9\u91cc\u89c4\u5f8b(or\u516c\u5f0f)\u5c31\u662f\u8ba1\u7b97$(i,j)$(\u8868\u793a$i$\u884c$j$\u5217)\u4f4d\u7f6e\u7684\u7406\u8bba\u9891\u6570, \u6211\u4eec\u662f\u5c06$i$\u6240\u5728\u884c\u7684\u548c\u4e58\u4ee5$j$\u6240\u5728\u5217\u7684\u548c\u518d\u9664\u4ee5\u5404\u884c\u5404\u5217\u7684\u603b\u548c.<\/li>\n<li>\u540c\u6837\u7684\u9053\u7406, \u5728<code>J11<\/code>\u4e2d\u5f55\u5165<code>=J6*K4\/$K$6<\/code>; \u5728<code>I12<\/code>\u4e2d\u5f55\u5165<code>=I6*K5\/$K$6<\/code>; \u5728<code>J12<\/code>\u4e2d\u5f55\u5165<code>=J6*K5\/$K$6<\/code>. \u8fd9\u6837\u5c31\u8ba1\u7b97\u597d\u4e86\u7406\u8bba\u9891\u6570.<\/li>\n<\/ul>\n<h4 class=\"wmd-title\" id=\"\u5361\u65b9\u7edf\u8ba1\u503c\u7684\u8ba1\u7b97\">\u5361\u65b9\u7edf\u8ba1\u503c\u7684\u8ba1\u7b97<\/h4>\n<p>\u7531\u4e8eExcel\u76f4\u63a5\u8ba1\u7b97\u7684\u662f\u5361\u65b9\u7edf\u8ba1\u91cf\u6240\u5bf9\u5e94\u7684\u6982\u7387\u503c, \u56e0\u6b64\u6211\u4eec\u9700\u8981\u5148\u5229\u7528<code>CHISQ.TEST<\/code>\u8ba1\u7b97\u6982\u7387\u503c, \u518d\u5229\u7528<code>CHISQ.INV<\/code>\u8ba1\u7b97\u5361\u65b9\u7edf\u8ba1\u503c.<\/p>\n<ul>\n<li>\u5728<code>J13<\/code>\u4e2d\u5f55\u5165<code>=CHISQ.TEST(I4:J5,I11:J12)<\/code>, \u5b9e\u9645\u4e0a<code>I4:J5<\/code>\u5c31\u662f\u5b9e\u9645\u9891\u6570\u7684\u6570\u636e\u5757, \u800c<code>I11:J12<\/code>\u5c31\u662f\u7406\u8bba\u9891\u6570\u7684\u6570\u636e\u5757, \u516c\u5f0f\u5f55\u5165\u8fc7\u7a0b\u4e2d\u90fd\u53ef\u4ee5\u76f4\u63a5\u7528\u9f20\u6807\u9009\u62e9\u6570\u636e\u5757\u7684\u54c8.\u7ed3\u679c\u81ea\u7136\u662f\u7ed9\u51fa\u5361\u65b9\u7edf\u8ba1\u91cf\u7684\u6982\u7387\u503c\u4e86. (\u8fd9\u91cc\u7a0d\u5fae\u6709\u70b9\u5947\u602a(\u5982\u679c\u4f60\u4e0d\u89c9\u5f97, \u5b8c\u5168\u53ef\u4ee5\u4e0d\u770b\u6211\u89c9\u5f97\u5947\u602a\u7684\u5730\u65b9, \u8fd9\u6beb\u65e0\u5f71\u54cd), \u5c31\u662fExcel\u53ef\u4ee5\u6839\u636e\u4f60\u6240\u9009\u533a\u57df\u800c\u77e5\u9053<strong>\u81ea\u7531\u5ea6<\/strong>, \u800c\u516c\u5f0f$\\eqref{eq:1}$\u786e\u4e0d\u9700\u8981\u81ea\u7531\u5ea6\u5c31\u53ef\u4ee5\u8ba1\u7b97, \u81f3\u4e8e\u4e3a\u4ec0\u4e48Excel\u8981\u76f4\u63a5\u8ba1\u7b97\u6982\u7387\u800c\u4e0d\u76f4\u63a5\u8ba1\u7b97\u7edf\u8ba1\u91cf\u4f3c\u4e4e\u4e0d\u597d\u7406\u89e3, \u56e0\u4e3a\u4ece\u7edf\u8ba1\u91cf\u8ba1\u7b97\u76f8\u5e94\u7684\u6982\u7387\u8fd8\u9700\u8981\u77e5\u9053\u81ea\u7531\u5ea6, \u8fd9\u5c31\u662f\u6211\u5947\u602a\u4e4b\u5904. )<\/li>\n<li>\u8ba1\u7b97\u81ea\u7531\u5ea6$\\mathrm{df}=(r-1)(c-1)$, \u8fd9\u91cc\u884c\u6570$r=2$, \u5217\u6570$c=2$, \u6545$\\mathrm{df}=1$.<\/li>\n<li>\u5229\u7528<code>CHISQ.INV<\/code>\u8ba1\u7b97\u76f8\u5e94\u7684\u7edf\u5361\u65b9\u8ba1\u503c:\u5728<code>J14<\/code>\u4e2d\u5f55\u5165<code>=CHISQ.INV(1-J13,1)<\/code>. \u8fd9\u91cc<code>J13<\/code>\u662f\u6982\u7387\u503c, \u800c<code>1<\/code>\u662f\u81ea\u7531\u5ea6<code>df<\/code>. \u4e4b\u6240\u4ee5\u8981\u7528<code>1-J13<\/code>\u662f\u56e0\u4e3a<code>CHISQ.INV<\/code>\u7ed9\u51fa\u7684\u662f\u7d2f\u8ba1\u5bc6\u5ea6\u4e0b\u7684\u5361\u65b9\u503c.<\/li>\n<li>\u5728<code>J15<\/code>\u4e2d\u8bbe\u7f6e\u4e34\u754c\u6c34\u5e73\u4e3a$0.05$.<\/li>\n<li>\u5728<code>J16<\/code>\u4e2d\u8ba1\u7b97\u5728\u7ed9\u5b9a\u7684\u4e34\u754c\u6c34\u5e73\u4e0b\u76f8\u5e94\u7684\u4e34\u754c\u503c:<code>=CHISQ.INV(1-J15,1)<\/code><\/li>\n<li>\u6bd4\u8f83\u7edf\u8ba1\u503c\u4e0e\u4e34\u754c\u503c\u7684\u5927\u5c0f, \u5f97\u5230\u662f\u5426\u63a5\u53d7$H_0$\u5047\u8bbe. \u5728<code>J16<\/code>\u4e2d\u5f55\u5165<code>=IF(J14&lt;J16,\"\u662f\",\u5426)<\/code>, \u5373\u82e5\u7edf\u8ba1\u503c\u5c0f\u4e8e\u4e34\u754c\u503c, \u5219\u8868\u660e\u5728\u7ed9\u5b9a\u7684\u663e\u8457\u6c34\u5e73\u4e0b, \u6570\u636e\u7684\u5dee\u5f02\u4e0d\u663e\u8457, \u4ece\u800c\u63a5\u53d7$H_0$; \u5426\u5219\u62d2\u7edd$H_0$<\/li>\n<li>\u5728<code>J17<\/code>z\u4e2d\u5f55\u5165<code>=IF(J17=\"\u662f\",\"\u5426\",\"\u662f\")<\/code>\u4ee5\u6839\u636e\u662f\u5426\u63a5\u53d7$H_0$\u6765\u5224\u65ad\u6570\u636e\u662f\u5426\u76f8\u5173. \u5373\u5728\u63a5\u53d7$H_0$\u65f6\u8868\u660e\u6570\u636e\u5728\u7ed9\u5b9a\u663e\u8457\u6c34\u5e73\u4e0b\u4e0d\u76f8\u5173, \u800c\u5728\u62d2\u7edd$H_0$\u65f6\u8868\u660e\u6570\u636e\u5728\u7ed9\u5b9a\u663e\u8457\u6c34\u5e73\u4e0b\u76f8\u5173.<\/li>\n<\/ul>\n<div class=\"latex_rem\">\n<p><strong>Remark .<\/strong><\/p>\n<ul>\n<li>\u4e0a\u9762\u7684\u8fc7\u7a0b\u5b9e\u9645\u4e0a\u53ef\u4ee5\u63a8\u5e7f\u5230\u591a\u4e8e$2$\u884c$2$\u5217\u7684\u60c5\u5f62, \u6ca1\u6709\u5b9e\u8d28\u5dee\u5f02.<\/li>\n<li>\u5728\u5177\u4f53\u5e94\u7528\u65f6, \u82e5\u8fd8\u662f\u4e24\u884c\u4e24\u5217\u7684\u60c5\u5f62, \u5219\u53ea\u9700\u5229\u7528<code>COUNTIFS<\/code>\u91cd\u65b0\u8ba1\u7b97\u5b9e\u9645\u9891\u6570, \u5176\u4ed6\u5730\u65b9\u4f1a\u81ea\u52a8\u8ba1\u7b97, \u4e0d\u7528\u66f4\u6539.<\/li>\n<li>\u9700\u8981\u8ba1\u7b97\u4e0d\u540c\u663e\u8457\u6c34\u5e73, \u53ea\u9700\u628a$0.05$\u6362\u6210\u5176\u5b83\u663e\u8457\u6c34\u5e73\u5373\u53ef, \u540e\u9762\u7684\u7ed3\u679c\u4f1a\u81ea\u52a8\u6539\u53d8.<\/li>\n<\/ul>\n<\/div>\n<p>\u82e5\u4f60\u8fd8\u6709\u4efb\u4f55\u7591\u95ee, \u6b22\u8fce\u7559\u8a00\u8ba8\u8bba.<\/p>\n<p>\u6700\u7ec8\u7684Excel(2013)\u6587\u4ef6:<a href=\"http:\/\/lttt.blog.ustc.edu.cn\/wp-content\/uploads\/2013\/09\/%E5%88%97%E8%81%94%E8%A1%A8%E7%9B%B8%E5%85%B3%E6%80%A7%E6%A3%80%E9%AA%8C.xlsx\">\u4e0b\u8f7d<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u68c0\u9a8cA,B\u4e24\u7ec4\u6570\u636e\u7684\u76f8\u5173\u6027\u662f\u5b9e\u9a8c\u4e2d\u7ecf\u5e38\u78b0\u5230\u7684\u95ee\u9898. \u5728\u672c\u6587\u4e2d\u6211\u5c06\u4ee5\u5177\u4f53\u4f8b\u5b50\u6765\u8bf4\u660e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/lttt.vanabel.cn\/?p=3880\"> <span class=\"screen-reader-text\">\u5b9e\u9a8c\u6570\u636e\u72ec\u7acb\u6027\u68c0\u9a8c\u5c0f\u8bb0<\/span> \u9605\u8bfb\u66f4\u591a &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[251,252,376,49,346],"class_list":["post-3880","post","type-post","status-publish","format-standard","hentry","category-mathnotes","tag-chisq-inv","tag-chisq-test","tag-excel","tag-49","tag-346"],"_links":{"self":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/3880","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3880"}],"version-history":[{"count":0,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/3880\/revisions"}],"wp:attachment":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3880"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3880"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3880"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}