{"id":2365,"date":"2023-07-22T14:33:59","date_gmt":"2023-07-22T14:33:59","guid":{"rendered":"https:\/\/statorials.org\/cn\/t-python-%e5%88%86%e5%b8%83\/"},"modified":"2023-07-22T14:33:59","modified_gmt":"2023-07-22T14:33:59","slug":"t-python-%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/t-python-%e5%88%86%e5%b8%83\/","title":{"rendered":"\u5982\u4f55\u5728python\u4e2d\u4f7f\u7528t\u5206\u5e03"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>t \u5206\u5e03<\/strong>\u662f\u4e00\u79cd\u7c7b\u4f3c\u4e8e<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u7684<\/a>\u6982\u7387\u5206\u5e03\uff0c\u53ea\u4e0d\u8fc7<\/span><span style=\"color: #000000;\">\u5b83\u6bd4\u6b63\u6001\u5206\u5e03\u6709\u66f4\u91cd\u7684\u201c\u5c3e\u90e8\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e0e\u6b63\u6001\u5206\u5e03\u76f8\u6bd4\uff0c\u5206\u5e03\u4e2d\u4f4d\u4e8e\u672b\u7aef\u7684\u503c\u591a\u4e8e\u4f4d\u4e8e\u4e2d\u5fc3\u7684\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12188 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/norm_vs_t2.png\" alt=\"\u6b63\u6001\u5206\u5e03\u4e0e t \u5206\u5e03\" width=\"444\" height=\"408\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528 t \u5206\u5e03\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u751f\u6210\u5206\u53d1<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528<strong>t.rvs(df, size)<\/strong>\u51fd\u6570\u4ece\u5177\u6709\u7279\u5b9a\u81ea\u7531\u5ea6\u548c\u6837\u672c\u5927\u5c0f\u7684\u5206\u5e03\u751f\u6210\u968f\u673a\u503c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> t\n\n<span style=\"color: #008080;\">#generate random values from t distribution with df=6 and sample size=10<\/span>\nt. <span style=\"color: #3366ff;\">rvs<\/span> (df= <span style=\"color: #008000;\">6<\/span> , size= <span style=\"color: #008000;\">10<\/span> )\n\narray([-3.95799716, -0.01099963, -0.55953846, -1.53420055, -1.41775611,\n       -0.45384974, -0.2767931, -0.40177789, -0.3602592, 0.38262431])\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7ed3\u679c\u662f\u4e00\u5f20\u5305\u542b 10 \u4e2a\u503c\u7684\u8868\uff0c\u8fd9\u4e9b\u503c\u6309\u7167 6 \u4e2a\u81ea\u7531\u5ea6\u7684\u5206\u5e03\u76f8\u4e92\u9075\u5faa\u3002<\/span><\/p>\n<h3><strong>\u5982\u4f55\u4f7f\u7528t\u5206\u5e03\u8ba1\u7b97P\u503c<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570<strong>t.cdf(x, df, loc=0, scale=1)<\/strong>\u6765\u67e5\u627e\u4e0e t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u76f8\u5173\u7684 p \u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u67e5\u627e\u5355\u8fb9 P \u503c<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6267\u884c\u5355\u65b9\u9762<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u5e76\u5f97\u5230\u68c0\u9a8c\u7edf\u8ba1\u91cf<strong>-1.5<\/strong>\u548c\u81ea\u7531\u5ea6 = <strong>10<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\u6765\u8ba1\u7b97\u4e0e\u6b64\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684 p \u503c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> t\n\n<span style=\"color: #008080;\">#calculate p-value<\/span>\nt. <span style=\"color: #3366ff;\">cdf<\/span> (x=-1.5, df=10)\n\n0.08225366322272008\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e0e\u81ea\u7531\u5ea6\u4e3a 10 \u7684 -1.5 \u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684\u5355\u4fa7 p \u503c\u4e3a<strong>0.0822<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u67e5\u627e\u53cc\u5411 P \u503c<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6267\u884c\u53cc\u5c3e<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u5e76\u5f97\u5230\u68c0\u9a8c\u7edf\u8ba1\u91cf<strong>2.14<\/strong>\u548c\u81ea\u7531\u5ea6 = <strong>20<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\u6765\u8ba1\u7b97\u4e0e\u6b64\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5bf9\u5e94\u7684 p \u503c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> t\n\n<span style=\"color: #008080;\">#calculate p-value<\/span>\n(1 - t. <span style=\"color: #3366ff;\">cdf<\/span> (x=2.14, df=20)) <span style=\"color: #800080;\">*<\/span> 2\n\n0.04486555082549959\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e0e\u5177\u6709 20 \u4e2a\u81ea\u7531\u5ea6\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf 2.14 \u5bf9\u5e94\u7684\u4e24\u4fa7 p \u503c\u4e3a<strong>0.0448<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8\u610f<\/strong>\uff1a\u60a8\u53ef\u4ee5\u4f7f\u7528\u9006 t \u5206\u5e03\u8ba1\u7b97\u5668\u68c0\u67e5\u8fd9\u4e9b\u7b54\u6848\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5982\u4f55\u8ffd\u8e2a\u5206\u5e03<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\u6765\u7ed8\u5236\u5177\u6709\u7279\u5b9a\u81ea\u7531\u5ea6\u7684\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> t\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;\">#generate t distribution with sample size 10000<\/span>\nx = t. <span style=\"color: #3366ff;\">rvs<\/span> (df= <span style=\"color: #008000;\">12<\/span> , size= <span style=\"color: #008000;\">10000<\/span> )\n\n<span style=\"color: #008080;\">#create plot of t distribution\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (x, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ', bins= <span style=\"color: #008000;\">20<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-21401 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tdist1.png\" alt=\"Python \u4e2d\u7684 t \u5206\u5e03\u56fe\" width=\"580\" height=\"346\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6216\u8005\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/seaborn.pydata.org\/\" target=\"_blank\" rel=\"noopener\">seaborn<\/a>\u53ef\u89c6\u5316\u5305\u521b\u5efa<a href=\"https:\/\/statorials.org\/cn\/\u5bc6\u5ea6\u66f2\u7ebf\/\" target=\"_blank\" rel=\"noopener\">\u5bc6\u5ea6\u66f2\u7ebf<\/a>\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> seaborn <span style=\"color: #008000;\">as<\/span> sns\n\n<span style=\"color: #008080;\">#create density curve<\/span>\nsns. <span style=\"color: #3366ff;\">kdeplot<\/span> (x)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-21402\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tdist2.png\" alt=\"\u5728Python\u4e2d\u7ed8\u5236t\u5206\u5e03\u66f2\u7ebf\" width=\"604\" height=\"348\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u8be5\u53d1\u884c\u7248\u7684\u5176\u4ed6\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u4e0e-t-\u5206\u5e03\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u6001\u5206\u5e03\u4e0e t \u5206\u5e03\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/a><br \/>\u9006 t \u5206\u5e03\u8ba1\u7b97\u5668<\/p>\n","protected":false},"excerpt":{"rendered":"<p>t \u5206\u5e03\u662f\u4e00\u79cd\u7c7b\u4f3c\u4e8e\u6b63\u6001\u5206\u5e03\u7684\u6982\u7387\u5206\u5e03\uff0c\u53ea\u4e0d\u8fc7\u5b83\u6bd4\u6b63\u6001\u5206\u5e03\u6709\u66f4\u91cd\u7684\u201c\u5c3e\u90e8\u201d\u3002 \u6362\u53e5\u8bdd\u8bf4\uff0c\u4e0e\u6b63\u6001\u5206\u5e03\u76f8\u6bd4\uff0c\u5206\u5e03\u4e2d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2365","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u5728 Python \u4e2d\u4f7f\u7528 t \u5206\u5e03 - 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