{"id":3230,"date":"2023-07-18T13:59:04","date_gmt":"2023-07-18T13:59:04","guid":{"rendered":"https:\/\/statorials.org\/cn\/python-%e6%ad%a3%e6%80%81%e6%80%a7%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-18T13:59:04","modified_gmt":"2023-07-18T13:59:04","slug":"python-%e6%ad%a3%e6%80%81%e6%80%a7%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/python-%e6%ad%a3%e6%80%81%e6%80%a7%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6d4b\u8bd5\u6b63\u6001\u6027\uff084 \u79cd\u65b9\u6cd5\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u8bb8\u591a\u7edf\u8ba1\u6d4b\u8bd5<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5047\u8bbe\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe<\/a>\u6570\u636e\u96c6\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728 Python \u4e2d\u68c0\u67e5\u8fd9\u4e2a\u5047\u8bbe\u6709\u56db\u79cd\u5e38\u89c1\u65b9\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.\uff08\u53ef\u89c6\u5316\u65b9\u6cd5\uff09\u521b\u5efa\u76f4\u65b9\u56fe\u3002<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5982\u679c\u76f4\u65b9\u56fe\u8fd1\u4f3c\u4e3a\u201c\u949f\u5f62\u201d\u5f62\u72b6\uff0c\u5219\u5047\u5b9a\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2.\uff08\u53ef\u89c6\u5316\u65b9\u6cd5\uff09\u521b\u5efaQQ\u56fe\u3002<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5982\u679c\u56fe\u4e0a\u7684\u70b9\u5927\u81f4\u6cbf\u76f4\u7ebf\u5bf9\u89d2\u7ebf\u5206\u5e03\uff0c\u5219\u5047\u5b9a\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3.\uff08\u6b63\u5f0f\u7edf\u8ba1\u68c0\u9a8c\uff09\u6267\u884c Shapiro-Wilk \u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5982\u679c\u68c0\u9a8c\u7684 p \u503c\u5927\u4e8e \u03b1 = 0.05\uff0c\u5219\u5047\u5b9a\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>4.\uff08\u6b63\u5f0f\u7edf\u8ba1\u68c0\u9a8c\uff09\u6267\u884c Kolmogorov-Smirnov \u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5982\u679c\u68c0\u9a8c\u7684 p \u503c\u5927\u4e8e \u03b1 = 0.05\uff0c\u5219\u5047\u5b9a\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6bcf\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5 1\uff1a\u521b\u5efa\u76f4\u65b9\u56fe<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u4e3a\u9075\u5faa<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u65e5\u5fd7-python-\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u7684<\/a>\u6570\u636e\u96c6\u521b\u5efa\u76f4\u65b9\u56fe\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#create histogram to visualize values in dataset\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (lognorm_dataset, edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ', bins=20)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27387 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalitepython1.jpg\" alt=\"\" width=\"559\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u53ea\u9700\u67e5\u770b\u8fd9\u4e2a\u76f4\u65b9\u56fe\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u770b\u51fa\u6570\u636e\u96c6\u6ca1\u6709\u8868\u73b0\u51fa\u201c\u949f\u5f62\u201d\u5e76\u4e14\u4e0d\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd52\uff1a\u521b\u5efaQQ\u56fe<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u4e3a\u9075\u5faa\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u521b\u5efa QQ \u56fe\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#create QQ plot with 45-degree line added to plot\n<\/span>fig = sm. <span style=\"color: #3366ff;\">qqplot<\/span> (lognorm_dataset, line=' <span style=\"color: #ff0000;\">45<\/span> ')\n\nplt. <span style=\"color: #3366ff;\">show<\/span> ()\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27390 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalitepython2.jpg\" alt=\"\" width=\"533\" height=\"359\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u7ed8\u56fe\u70b9\u5927\u81f4\u4f4d\u4e8e\u4e00\u6761\u76f4\u7ebf\u5bf9\u89d2\u7ebf\u4e0a\uff0c\u6211\u4eec\u901a\u5e38\u5047\u8bbe\u6570\u636e\u96c6\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u8be5\u56fe\u4e0a\u7684\u70b9\u663e\u7136\u4e0e\u7ea2\u7ebf\u4e0d\u5bf9\u5e94\uff0c\u56e0\u6b64\u6211\u4eec\u4e0d\u80fd\u5047\u8bbe\u8be5\u6570\u636e\u96c6\u662f\u6b63\u6001\u5206\u5e03\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9274\u4e8e\u6211\u4eec\u4f7f\u7528\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u51fd\u6570\u751f\u6210\u6570\u636e\uff0c\u8fd9\u5e94\u8be5\u662f\u6709\u610f\u4e49\u7684\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5 3\uff1a\u6267\u884c Shapiro-Wilk \u68c0\u9a8c<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5bf9\u9075\u5faa\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u6267\u884c Shapiro-Wilk\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy.stats <span style=\"color: #008000;\">import<\/span> shapiro \n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#perform Shapiro-Wilk test for normality\n<\/span>shapiro(lognorm_dataset)\n\nShapiroResult(statistic=0.8573324680328369, pvalue=3.880663073872444e-29)\n<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>0.857<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>3.88e-29<\/strong> \uff08\u975e\u5e38\u63a5\u8fd1\u4e8e\u96f6\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e p \u503c\u5c0f\u4e8e 0.05\uff0c\u6211\u4eec\u62d2\u7edd Shapiro-Wilk \u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u6837\u672c\u6570\u636e\u5e76\u975e\u6765\u81ea\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5 4\uff1a\u6267\u884c Kolmogorov-Smirnov \u68c0\u9a8c<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5bf9\u9075\u5faa\u5bf9\u6570\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u6267\u884c Kolmogorov-Smirnov \u68c0\u9a8c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> math\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy.stats <span style=\"color: #008000;\">import<\/span> kstest\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> lognorm\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#generate dataset that contains 1000 log-normal distributed values\n<\/span>lognorm_dataset = lognorm. <span style=\"color: #3366ff;\">rvs<\/span> (s=.5, scale= <span style=\"color: #3366ff;\">math.exp<\/span> (1), size=1000)\n\n<span style=\"color: #008080;\">#perform Kolmogorov-Smirnov test for normality\n<\/span>kstest(lognorm_dataset, ' <span style=\"color: #ff0000;\">norm<\/span> ')\n\nKstestResult(statistic=0.84125708308077, pvalue=0.0)\n<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>0.841<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.0<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e p \u503c\u5c0f\u4e8e 0.05\uff0c\u6211\u4eec\u62d2\u7edd Kolmogorov-Smirnov \u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u6837\u672c\u6570\u636e\u5e76\u975e\u6765\u81ea\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u5904\u7406\u975e\u6b63\u6001\u6570\u636e<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5982\u679c\u7ed9\u5b9a\u7684\u6570\u636e\u96c6<em>\u4e0d\u662f<\/em>\u6b63\u6001\u5206\u5e03\u7684\uff0c\u6211\u4eec\u901a\u5e38\u53ef\u4ee5\u6267\u884c\u4ee5\u4e0b\u8f6c\u6362\u4e4b\u4e00\u4ee5\u4f7f\u5176\u66f4\u52a0\u6b63\u6001\u5206\u5e03\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.\u5bf9\u6570\u53d8\u6362\uff1a<\/strong>\u5c06x\u503c\u53d8\u6362\u4e3a<strong>log(x)<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5e73\u65b9\u6839\u53d8\u6362\uff1a<\/strong>\u5c06x\u7684\u503c\u53d8\u6362\u4e3a<strong><span style=\"border-top: 1px solid black;\">\u221ax<\/span><\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.\u7acb\u65b9\u6839\u53d8\u6362\uff1a<\/strong>\u5c06x\u7684\u503c\u53d8\u6362\u4e3a<strong>x <sup>1\/3<\/sup><\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u8fc7\u6267\u884c\u8fd9\u4e9b\u8f6c\u6362\uff0c\u6570\u636e\u96c6\u901a\u5e38\u53d8\u5f97\u66f4\u52a0\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9605\u8bfb<a href=\"https:\/\/statorials.org\/cn\/\u5728python\u4e2d\u8f6c\u6362\u6570\u636e\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u672c\u6559\u7a0b<\/a>\u4ee5\u4e86\u89e3\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u8fd9\u4e9b\u8f6c\u6362\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bb8\u591a\u7edf\u8ba1\u6d4b\u8bd5\u5047\u8bbe\u6570\u636e\u96c6\u5448\u6b63\u6001\u5206\u5e03\u3002 \u5728 Python \u4e2d\u68c0\u67e5\u8fd9\u4e2a\u5047\u8bbe\u6709\u56db\u79cd\u5e38\u89c1\u65b9\u6cd5\uff1a 1.\uff08\u53ef\u89c6\u5316\u65b9\u6cd5\uff09\u521b\u5efa\u76f4 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