{"id":849,"date":"2023-07-28T13:34:14","date_gmt":"2023-07-28T13:34:14","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%ac-t-%e6%b5%8b%e8%af%95-python\/"},"modified":"2023-07-28T13:34:14","modified_gmt":"2023-07-28T13:34:14","slug":"%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%ac-t-%e6%b5%8b%e8%af%95-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%ac-t-%e6%b5%8b%e8%af%95-python\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u6d4b\u8bd5\u4f60\u7684\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u53cc\u6837\u672c t \u68c0\u9a8c<\/a>\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u662f\u5426\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u3002<\/span><\/p>\n<h2><strong>\u793a\u4f8b\uff1aPython \u4e2d\u7684\u4e24\u4e2a t \u68c0\u9a8c\u793a\u4f8b<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\u4e24\u79cd\u4e0d\u540c\u7684\u690d\u7269\u7269\u79cd\u662f\u5426\u5177\u6709\u76f8\u540c\u7684\u5e73\u5747\u9ad8\u5ea6\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u4ed6\u4eec\u6536\u96c6\u4e86\u6bcf\u4e2a\u7269\u79cd 20 \u79cd\u690d\u7269\u7684<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7b80\u5355\u968f\u673a\u6837\u672c<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u4e24\u79cd\u690d\u7269\u7269\u79cd\u7684\u9ad8\u5ea6\u662f\u5426\u76f8\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u521b\u5efa\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e24\u4e2a\u8868\u6765\u4fdd\u5b58\u6bcf\u7ec4 20 \u682a\u690d\u7269\u7684\u6d4b\u91cf\u503c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\ngroup1 = np.array([14, 15, 15, 16, 13, 8, 14, 17, 16, 14, 19, 20, 21, 15, 15, 16, 16, 13, 14, 12])\ngroup2 = np.array([15, 17, 14, 17, 14, 8, 12, 19, 19, 14, 17, 22, 24, 16, 13, 16, 13, 18, 15, 13])<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 scipy.stats \u5e93\u4e2d\u7684<a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_ind.html\" target=\"_blank\" rel=\"noopener noreferrer\">ttest_ind() \u51fd\u6570<\/a>\u6765\u6267\u884c\u4e24\u4e2a\u793a\u4f8b t \u68c0\u9a8c\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ttest_ind(a, b, equal_var=True)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a\uff1a<\/strong>\u7b2c 1 \u7ec4\u89c2\u5bdf\u7ed3\u679c\u793a\u4f8b\u8868<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b\uff1a<\/strong>\u7b2c 2 \u7ec4\u89c2\u5bdf\u7ed3\u679c\u793a\u4f8b\u8868<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>equal_var\uff1a<\/strong>\u5982\u679c\u4e3a true\uff0c\u5219\u6267\u884c\u5047\u8bbe\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\u7684\u6807\u51c6\u72ec\u7acb 2 \u6837\u672c t \u68c0\u9a8c\u3002\u5982\u679c\u4e3a false\uff0c\u5219\u6267\u884c<a href=\"https:\/\/statorials.org\/cn\/\u97e6\u5c14\u5947t\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener noreferrer\">Welch \u7684 t \u68c0\u9a8c<\/a>\uff0c\u8be5\u68c0\u9a8c\u4e0d\u5047\u8bbe\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\u3002\u9ed8\u8ba4\u60c5\u51b5\u4e0b\u8fd9\u662f\u6b63\u786e\u7684\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6267\u884c\u68c0\u9a8c\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u51b3\u5b9a\u662f\u5426\u5047\u8bbe\u4e24\u4e2a\u603b\u4f53\u5177\u6709\u76f8\u7b49\u7684\u65b9\u5dee\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5982\u679c\u6700\u5927\u6837\u672c\u65b9\u5dee\u4e0e\u6700\u5c0f\u6837\u672c\u65b9\u5dee\u4e4b\u6bd4\u5c0f\u4e8e 4:1\uff0c\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u603b\u4f53\u5177\u6709\u76f8\u7b49\u65b9\u5dee\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find variance for each group<\/span>\nprint(np.var(group1), np.var(group2))\n\n7.73 12.26\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6700\u5927\u6837\u672c\u65b9\u5dee\u4e0e\u6700\u5c0f\u6837\u672c\u65b9\u5dee\u4e4b\u6bd4\u4e3a 12.26\/7.73 = <strong>1.586<\/strong> \uff0c\u5c0f\u4e8e 4\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u603b\u4f53\u7684\u65b9\u5dee\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u8fdb\u884c\u7b49\u65b9\u5dee\u7684\u53cc\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#perform two sample t-test with equal variances<\/span>\nstats.ttest_ind(a=group1, b=group2, equal_var=True)\n\n(statistic=-0.6337, pvalue=0.53005)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>-0.6337<\/strong> \uff0c\u76f8\u5e94\u7684\u53cc\u5c3e p \u503c\u4e3a<strong>0.53005<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 3 \u6b65\uff1a\u89e3\u91ca\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u6b64\u7279\u5b9a\u53cc\u6837\u672c t \u68c0\u9a8c\u7684\u4e24\u4e2a\u5047\u8bbe\u662f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u5e73\u5747\u503c\u76f8\u7b49\uff09<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> \u2260 \u00b5 <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u5e73\u5747\u503c<em>\u4e0d<\/em>\u76f8\u7b49\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7684 p \u503c<strong>(0.53005)<\/strong>\u5927\u4e8e alpha = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u79cd\u7fa4\u4e4b\u95f4\u7684\u5e73\u5747\u682a\u9ad8\u4e0d\u540c\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><a href=\"https:\/\/statorials.org\/cn\/t-\u6d4b\u8bd5-python-\u793a\u4f8b\/\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u5355\u6837\u672c T \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672c-t-\u68c0\u9a8c-python\/\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c T \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u53cc\u6837\u672c t \u68c0\u9a8c\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u662f\u5426\u76f8\u7b49\u3002 \u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u3002  [&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-849","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\u6267\u884c\u4e24\u4e2a\u6837\u672c T \u68c0\u9a8c - Statory<\/title>\n<meta name=\"description\" content=\"\u5173\u4e8e\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t 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