{"id":895,"date":"2017-02-10T10:59:11","date_gmt":"2017-02-10T02:59:11","guid":{"rendered":"https:\/\/www.beneplot.com\/?p=895"},"modified":"2021-04-14T08:12:47","modified_gmt":"2021-04-14T00:12:47","slug":"%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%92%e7%9a%84%e5%85%ad%e5%a4%a7%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.beneplot.com\/?p=895","title":{"rendered":"\u7ebf\u6027\u56de\u5f52\u7684\u516d\u5927\u95ee\u9898"},"content":{"rendered":"<p><span style=\"font-size: 20px;\">\u5f53\u5728\u4f7f\u7528\u7ebf\u6027\u56de\u5f52\u8fdb\u884c\u5206\u6790\u65f6\uff0c\u5e38\u5e38\u4f1a\u78b0\u5230\u4ee5\u4e0b\u8fd9\u51e0\u4e2a\u95ee\u9898\uff0c\u8bc6\u522b\u548c\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u662f\u4fdd\u8bc1\u7ebf\u6027\u56de\u5f52\u5206\u6790\u7ed3\u679c\u51c6\u786e\u53ef\u4fe1\u7684\u91cd\u8981\u524d\u63d0\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<h1><strong>\u6570\u636e\u975e\u7ebf\u6027(Non-linearity)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u5373\u9884\u6d4b\u53d8\u91cfX\u4e0e\u54cd\u5e94\u53d8\u91cfY\u4e4b\u95f4\u7684\u5173\u7cfb\u4e3a<strong>\u975e\u7ebf\u6027<\/strong>\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a<\/strong>\u5982\u679cX\u4e0eY\u7684\u5173\u7cfb\u4e3a\u975e\u7ebf\u6027\uff0c\u90a3\u901a\u8fc7\u7ebf\u6027\u56de\u5f52\u5f97\u51fa\u7684\u7ed3\u679c\u5c06\u662f\u4e0d\u53ef\u4fe1\u7684\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a<\/strong>\u5728\u4e00\u5143\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u53ef\u7ed8\u5236\u6b8b\u5deeE\u4e0e\u9884\u6d4b\u53d8\u91cfX\u7684\u6563\u70b9\u56fe\uff0c\u5728\u591a\u5143\u7ebf\u6027\u56de\u5f52\u4e2d\uff0c\u53ef\u7ed8\u5236\u6b8b\u5deeE\u4e0e\u9884\u6d4b\u503cpredict(Y)\u7684\u6563\u70b9\u56fe\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u6b8b\u5deeE = \u54cd\u5e94\u53d8\u91cfY &#8211; \u9884\u6d4b\u503cpredict\uff08Y\uff09<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\">\u6b8b\u5dee\u56fe\u82e5\u5b58\u5728\u660e\u663e\u89c4\u5f8b\uff0c\u5219\u8868\u793a\u7ebf\u6027\u6a21\u578b\u7684\u67d0\u4e9b\u65b9\u9762\u53ef\u80fd\u6709\u95ee\u9898\u3002\u5373<strong>\u6709\u89c4\u5f8b\u7684\u6b8b\u5dee\u56fe\u53ef\u80fd\u6307\u793a\u6570\u636e\u4e3a\u975e\u7ebf\u6027\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a<\/strong>\u5982\u679c\u6570\u636e\u4e2d\u5b58\u5728\u975e\u7ebf\u6027\u5173\u7cfb\uff0c\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u5bf9\u9884\u6d4b\u53d8\u91cfX\u8fdb\u884c<strong>\u975e\u7ebf\u6027\u53d8\u6362<\/strong>\uff0c\u5982\uff1a\u8fdb\u884c<strong>\u5bf9\u6570\u8f6c\u6362ln(X)<\/strong> , <strong>\u5e73\u65b9\u8f6c\u6362X<sup>2<\/sup><\/strong> , <strong>\u5e73\u65b9\u6839\u8f6c\u6362\u00a0<\/strong>\u3002<\/span><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h1><strong>\u8bef\u5dee\u5b58\u5728\u76f8\u5173(Correlation of Error)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u5728\u4e00\u5143\u7ebf\u6027\u56de\u5f52\u4e2d\uff0cY = aX + b\uff0c\u5176\u4e2d<strong>b\u65e2\u53eb\u622a\u8ddd\uff0c\u4e5f\u53eb\u8bef\u5dee\u9879<\/strong>\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u8bef\u5dee\u76f8\u5173<\/strong>\u6307b<sub>n<\/sub>\u503c\u4e0eb<sub>n+1<\/sub>\u503c\u5b58\u5728\u5173\u7cfb\uff0c\u6216\u8005\u8bf4\u901a\u8fc7b<sub>n<\/sub>\u503c\u53ef\u4ee5\u63a8\u65ad\u51fab<sub>n+1<\/sub>\u503c\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a\u8bef\u5dee\u9879\u4e4b\u95f4\u5b58\u5728\u76f8\u5173\u4f1a\u5bfc\u81f4\u4f4e\u4f30\u771f\u5b9e\u7684\u6807\u51c6\u8bef\uff0c\u4ece\u800c\u4f7f\u5f97\u7f6e\u4fe1\u533a\u95f4\u66f4\u7a84\u3002<\/strong>\u6bd4\u5982\uff1a\u5728\u6b63\u6001\u5206\u5e03\u4e0b\uff0c95%\u7f6e\u4fe1\u533a\u95f4\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p><span style=\"font-size: 16px;\">Mean(X)+1.96*SE \u2265 X \u2265 Mean(X)-1.96*SE<\/span><\/p>\n<p><span style=\"font-size: 16px;\">\u5047\u5982\u4e0a\u5f0f\u4e2d\uff0cX\u7684\u5747\u503cMean(X)=5\uff0c\u6807\u51c6\u8befSE=2\uff0c\u8ba1\u7b97\u5f97X\u7684\u503c\u670995%\u7684\u53ef\u80fd\u6027\u57281~9\u4e4b\u95f4\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\">\u5982\u679c<strong>\u8bef\u5dee\u9879\u4e4b\u95f4\u5b58\u5728\u76f8\u5173\uff0c\u4f7f\u5f97\u6807\u51c6\u8befSE\u53d8\u5c0f<\/strong>\uff0cSE=1\uff0c\u5219\u7ed3\u679c\u662fX\u7684\u503c\u670995%\u7684\u53ef\u80fd\u6027\u57283~7\u4e4b\u95f4\u3002<strong>\u6700\u540e\u5982\u679cX\u7b49\u4e8e2\u62168\uff0c\u5c06\u4f1a\u505a\u51fa\u9519\u8bef\u7684\u7ed3\u679c\u63a8\u8bba<\/strong>\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a\u8bef\u5dee\u9879\u4e4b\u95f4\u5b58\u5728\u76f8\u5173\u7ecf\u5e38\u51fa\u73b0\u4e8e\u65f6\u95f4\u5e8f\u5217(time series)\u6570\u636e\uff0c<\/strong>\u5373\u5728\u4e0d\u540c\u7684\u65f6\u95f4\u70b9\u6d4b\u91cf\u5f97\u5230\u7684\u89c2\u6d4b\u6570\u636e\u4e2d<strong>\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\">\u53ef\u7ed8\u5236\u6bcf\u4e2a\u89c2\u6d4b\u6570\u636e\u7684<strong>\u6b8b\u5dee\u56fe<\/strong>\uff0c\u5982\u679c\u76f8\u90bb\u7684\u6b8b\u5dee\u6709\u7c7b\u4f3c\u6216\u8d8b\u52bf\u76f8\u8fd1\u7684\u503c\uff0c\u5219<strong>\u53ef\u80fd\u6307\u793a\u8bef\u5dee\u9879\u4e4b\u95f4\u5b58\u5728\u76f8\u5173\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a\u524d\u671f\u826f\u597d\u7684\u5b9e\u9a8c\u8bbe\u8ba1\u548c\u6570\u636e\u6536\u96c6\u65b9\u6848\u81f3\u5173\u91cd\u8981\uff01<\/strong><\/span><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h1><strong>\u8bef\u5dee\u65b9\u5dee\u4e0d\u6052\u5b9a(Non-constant Variance of Error)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u901a\u5e38\u60c5\u51b5\u4e0b\uff0c<strong>\u8bef\u5dee\u9879\u7684\u65b9\u5dee\u4e0d\u662f\u6052\u5b9a\u7684<\/strong>\uff0c\u4f46\u8bef\u5dee\u9879\u7684\u65b9\u5dee\u6052\u5b9a\u662f\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u4e00\u4e2a\u91cd\u8981\u5047\u8bbe\u3002\u56e0\u6b64\uff0c\u8be5\u5047\u8bbe\u53ef\u53d8\u4e3a\uff1a<strong>\u9700\u8981\u8bef\u5dee\u9879\u7684\u65b9\u5dee\u7a33\u5b9a\u5728\u4e00\u4e2a\u8303\u56f4\u533a\u95f4\u5185\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a\u8bef\u5dee\u65b9\u5dee\u4e0d\u6052\u5b9a\u5c06\u5bfc\u81f4\u6807\u51c6\u8bef\u5dee\u3001\u7f6e\u4fe1\u533a\u95f4\u7b49\u7684\u8ba1\u7b97\u7ed3\u679c\u51fa\u73b0\u95ee\u9898\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a<\/strong>\u53ef\u7ed8\u5236\u6b8b\u5deeE\u4e0e\u9884\u6d4b\u503cpredict(Y)\u7684\u6563\u70b9\u56fe\u3002<strong>\u6b8b\u5dee\u5982\u679c\u7a33\u5b9a\u7684\u5728\u4e00\u4e2a\u8303\u56f4\u533a\u95f4\u5185\u6ce2\u52a8\uff0c\u8bf4\u660e\u8bef\u5dee\u65b9\u5dee\u6052\u5b9a\uff0c\u5426\u5219\u5373\u4e3a\u4e0d\u6052\u5b9a\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a\u5f53\u8bef\u5dee\u65b9\u5dee\u4e0d\u6052\u5b9a\u65f6\uff0c<\/strong>\u4e00\u79cd\u7b80\u5355\u7684\u65b9\u6cd5\u662f<strong>\u5bf9\u54cd\u5e94\u53d8\u91cfY\u8fdb\u884c\u53d8\u6362<\/strong>\uff0c\u5982\uff1a\u8fdb\u884c<strong>\u5bf9\u6570\u8f6c\u6362ln(Y)<\/strong> ,<strong>\u5e73\u65b9\u6839\u8f6c\u6362\u00a0<\/strong>\u3002\u8fd9\u79cd\u53d8\u6362<strong>\u4f7f\u5f97Y\u503c\u6574\u4f53\u6027\u7684\u51cf\u5c0f<\/strong>\uff0c\u4ece\u800c\u8d77\u5230\u964d\u4f4e<strong>\u8bef\u5dee\u65b9\u5dee\u4e0d\u6052\u5b9a\u7684\u4f5c\u7528\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h1><strong>\u54cd\u5e94\u53d8\u91cfY\u5f02\u5e38(Outliers)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u6307\u67d0\u4e2a\u6216\u67d0\u4e9b\u9884\u6d4b\u503cpredict(Y)\u4e0e\u5b9e\u9645Y\u503c\u76f8\u5dee\u5f88\u5927\u7684\u73b0\u8c61\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a\u5f02\u5e38\u7684Y\u503c\u5c06\u4f7f\u5f97\u56de\u5f52\u6a21\u578b\u7684\u89e3\u91ca\u529b\u5ea6(R<sup>2<\/sup>)\u964d\u4f4e\u3001\u6b8b\u5dee\u6807\u51c6\u8bef(Residual standard error, RSE) \u589e\u52a0\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>RSE = sqrt( RSS \/ (n-2) )<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>RSS = SUM( (<\/strong><strong>\u54cd\u5e94\u53d8\u91cfY &#8211; \u9884\u6d4b\u503cpredict(Y))<sup>2<\/sup> )<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\">RSS\u610f\u4e3a\u6b8b\u5dee\u5e73\u65b9\u548c(Residual sum of squares)\uff0cn\u4e3a\u54cd\u5e94\u53d8\u91cfY\u7684\u6570\u91cf\uff0csqrt()\u610f\u4e3a\u5f00\u5e73\u65b9\u6839\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a<\/strong>\u53ef\u7ed8\u5236<strong>\u5b66\u751f\u5316\u6b8b\u5dee(studentized residuals\uff0cSR)<\/strong>\u4e0e\u9884\u6d4b\u503cpredict(Y)\u7684\u6563\u70b9\u56fe\u3002<strong>SR\u8d85\u51fa\u00b12.5\u533a\u95f4\u7684Y\u503c\u4e3a\u5f02\u5e38\u503c\u3002SR\u7b49\u4e8e\u6b8b\u5dee\u9664\u4ee5\u6b8b\u5dee\u7684\u6807\u51c6\u5dee<\/strong>\uff0c\u5176\u610f\u4e49\u8fd1\u4f3c\u4e8e\u5728t\u68c0\u9a8c\u4e2d\u6c42t\u503c\uff0c\u6545\u4e5f\u79f0\u4f5c<strong>\u6807\u51c6\u5316\u6b8b\u5dee<\/strong>\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a\u5982\u679c\u6570\u636e\u91cf\u7279\u522b\u5927\uff0c\u53ef\u76f4\u63a5\u5220\u9664\u5f02\u5e38Y\u503c\u3002<\/strong>\u4f46\u662f\uff0c<strong>\u5f02\u5e38\u7684Y\u503c\u4e5f\u53ef\u80fd\u6697\u793a\u6a21\u578b\u5b58\u5728\u7f3a\u9677\uff0c\u5373\u7f3a\u5c11\u91cd\u8981\u7684\u9884\u6d4b\u53d8\u91cfX\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h1><strong>\u9884\u6d4b\u53d8\u91cfX\u5f02\u5e38(High Leverage Points)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u6307\u5b9e\u9645\u7684\u89c2\u6d4b\u503cX\u6bd4\u5176\u4ed6X\u503c\u5f02\u5e38\u8fc7\u5927\u6216\u8fc7\u5c0f\u7684\u73b0\u8c61\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a\u5f02\u5e38X\u503c\u5c06\u5bfc\u81f4\u56de\u5f52\u6a21\u578b\u7684\u89e3\u91ca\u6027\u9519\u8bef\u589e\u5927\uff0c\u6a21\u578b\u62df\u5408\u51fa\u73b0\u95ee\u9898\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a<\/strong>\u5728R\u8bed\u8a00\u4e2d\uff0c\u8bed\u53e5cooks.distance()\u3001hatvalues()\u3001rstudent()\u662f\u6c42\u53d6\u5f02\u5e38\u503c\u7684\u4e09\u4e2a\u8bed\u53e5(\u4e00\u822c\u5404\u7c7b\u7edf\u8ba1\u8f6f\u4ef6\u4e2d\u90fd\u6709\u7c7b\u4f3c\u7684\u8ba1\u7b97)\u3002\u5176\u4e2d\uff0c<strong>rstudent()<\/strong>\u5373\u4e0a\u9762\u6240\u8bf4\u7684\u6807\u51c6\u5316\u6b8b\u5dee\uff0c\u7528\u4e8e\u5224\u65ad\u5f02\u5e38\u7684Y\u503c\uff1b<strong>hatvalues()\u88ab\u7528\u4e8e\u5224\u65ad\u5f02\u5e38\u7684X\u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>cooks.distance()<\/strong><strong>\u88ab\u7528\u4e8e\u5224\u65ad\u5bf9\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u6709\u5f02\u5e38\u5f71\u54cd\u529b\u7684\u4e00\u7ec4\u6570\u636e\uff08X\u548cY\uff09\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a\u5982\u679c\u6570\u636e\u91cf\u7279\u522b\u5927\uff0c\u53ef\u76f4\u63a5\u5220\u9664(hat\u503c)\u5f02\u5e38\u7684X\u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"font-size: 16px;\">\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c<strong>\u5bf9cook\u503c\u8f83\u5927\u7684\u6570\u636e\u9700\u8981\u8c28\u614e\u5904\u7406\uff0c\u5b83\u7efc\u5408\u8003\u8651\u4e86\u6a21\u578b\u7684\u89e3\u91ca\u6027\u548c\u62df\u5408\u6027\uff0c\u5f53\u503c\u8f83\u5927\u65f6\uff0c\u8bf4\u660e\u5b58\u5728\u5f02\u5e38\u503c (\u6807\u51c6\u5316\u6b8b\u5dee\u503c\u6216hat\u503c\u5f02\u5e38)\uff0c\u5176\u503c\u6307\u793a\u4e86\u76f8\u5e94\u6570\u636e\u5bf9\u6a21\u578b\u62df\u5408\u7684\u5f71\u54cd\u7a0b\u5ea6\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<h1><strong>\u5171\u7ebf\u6027(Collinearity)<\/strong><\/h1>\n<p><span style=\"font-size: 16px;\">\u5171\u7ebf\u6027\u662f\u6307\u4e24\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cfX\u4e4b\u95f4\u5b58\u5728\u9ad8\u5ea6\u76f8\u5173\uff0c\u5728\u8fdb\u884c\u591a\u5143\u56de\u5f52\u5efa\u6a21\u65f6\uff0c\u9996\u5148\u9700\u8981\u8fdb\u884c\u5171\u7ebf\u6027\u68c0\u9a8c\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u95ee\u9898\uff1a<\/strong>\u5171\u7ebf\u6027\u5c06\u5bfc\u81f4\u6df7\u6dc6\u4e0d\u540c\u7684\u9884\u6d4b\u53d8\u91cfX\u5bf9\u54cd\u5e94\u53d8\u91cfY\u7684\u5f71\u54cd\uff0c\u65e0\u6cd5\u533a\u5206\u4e0d\u540c\u9884\u6d4b\u53d8\u91cfX\u7684\u5f71\u54cd\u529b\uff0c\u5e76\u964d\u4f4e\u4e86\u5bf9\u56de\u5f52\u7cfb\u6570\u4f30\u8ba1\u7684\u51c6\u786e\u6027\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u5224\u65ad\uff1a<\/strong>\u53ef\u4ee5\u901a\u8fc7<strong>\u76f8\u5173\u7cfb\u6570<\/strong>\u5224\u65ad\u4e24\u4e24\u53d8\u91cf\u95f4\u662f\u5426\u5b58\u5728\u5171\u7ebf\u6027\u3002<strong>\u5982\u679c\u53d8\u91cf\u8d85\u8fc7\u4e24\u4e2a\uff0c<\/strong>\u7531\u4e8e\u53ef\u80fd\u51fa\u73b0\u4e09\u4e2a\u6216\u66f4\u591a\u53d8\u91cf\u4e4b\u95f4\u5b58\u5728\u5171\u7ebf\u6027(\u88ab\u79f0\u4e3a<strong>\u591a\u91cd\u5171\u7ebf\u6027<\/strong>)<strong>\uff0c<\/strong>\u5219\u9700\u8981\u8ba1\u7b97<strong>\u65b9\u5dee\u81a8\u80c0\u56e0\u5b50(variance inflation factor , VIF) <\/strong>\u6765\u8fdb\u884c\u5224\u65ad\u3002\u901a\u5e38\uff0c\u5982\u679c\u67d0\u4e2a\u9884\u6d4b\u53d8\u91cfX\u7684VIF\u5927\u4e8e5\uff0c\u5219\u9884\u793a\u7740\u8be5X\u4f1a\u5bfc\u81f4\u5171\u7ebf\u6027\u3002<\/span><\/p>\n<p><span style=\"font-size: 16px;\"><strong>\u89e3\u51b3\uff1a<\/strong>\u89e3\u51b3\u5171\u7ebf\u6027\u4e3b\u8981\u6709\u4e24\u79cd\u65b9\u6cd5\uff1a<strong>\u7b2c\u4e00\u79cd\u662f\u5254\u9664\u5171\u7ebf\u6027\u9ad8\u7684\u95ee\u9898\u53d8\u91cf<\/strong>\uff0c\u5254\u9664\u540e\u9700\u8981\u6bd4\u8f83\u5254\u9664\u524d\u7684\u6a21\u578b\u89e3\u91ca\u529b\u4e0e\u5254\u9664\u540e\u7684\u6a21\u578b\u89e3\u91ca\u529b\uff0c\u5373<strong>R<sup>2<\/sup>\u7684\u53d8\u5316<\/strong>\u3002\u5982\u679c\u89e3\u91ca\u529b\u964d\u4f4e\u8fc7\u591a\uff0c\u5219\u4e0d\u80fd\u968f\u610f\u5254\u9664\u3002<strong>\u7b2c\u4e8c\u79cd\u662f\u628a\u5b58\u5728\u5171\u7ebf\u6027\u7684\u53d8\u91cf\u7ec4\u5408\u6210\u4e00\u4e2a\u5355\u4e00\u7684\u9884\u6d4b\u53d8\u91cf<\/strong>\uff0c\u5982\u53d6\u4e24\u4e2a\u53d8\u91cf\u7684\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>END<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u5728\u4f7f\u7528\u7ebf\u6027\u56de\u5f52\u8fdb\u884c\u5206\u6790\u65f6\uff0c\u5e38\u5e38\u4f1a\u78b0\u5230\u4ee5\u4e0b\u8fd9\u51e0\u4e2a\u95ee\u9898\uff0c\u8bc6\u522b\u548c\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u662f\u4fdd\u8bc1\u7ebf\u6027\u56de\u5f52\u5206\u6790\u7ed3\u679c\u51c6\u786e\u53ef\u4fe1\u7684\u91cd\u8981\u524d [&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=895\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u7ebf\u6027\u56de\u5f52\u7684\u516d\u5927\u95ee\u9898 - Beneplot\" \/>\n<meta property=\"og:description\" content=\"\u5f53\u5728\u4f7f\u7528\u7ebf\u6027\u56de\u5f52\u8fdb\u884c\u5206\u6790\u65f6\uff0c\u5e38\u5e38\u4f1a\u78b0\u5230\u4ee5\u4e0b\u8fd9\u51e0\u4e2a\u95ee\u9898\uff0c\u8bc6\u522b\u548c\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\u662f\u4fdd\u8bc1\u7ebf\u6027\u56de\u5f52\u5206\u6790\u7ed3\u679c\u51c6\u786e\u53ef\u4fe1\u7684\u91cd\u8981\u524d [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.beneplot.com\/?p=895\" \/>\n<meta property=\"og:site_name\" content=\"Beneplot\" \/>\n<meta property=\"article:published_time\" content=\"2017-02-10T02:59:11+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-14T00:12:47+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" 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