{"id":2163,"date":"2023-07-23T10:43:47","date_gmt":"2023-07-23T10:43:47","guid":{"rendered":"https:\/\/statorials.org\/cn\/t-%e6%a3%80%e9%aa%8c%e7%9a%84%e6%9c%80%e5%b0%8f%e6%a0%b7%e6%9c%ac%e9%87%8f\/"},"modified":"2023-07-23T10:43:47","modified_gmt":"2023-07-23T10:43:47","slug":"t-%e6%a3%80%e9%aa%8c%e7%9a%84%e6%9c%80%e5%b0%8f%e6%a0%b7%e6%9c%ac%e9%87%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/t-%e6%a3%80%e9%aa%8c%e7%9a%84%e6%9c%80%e5%b0%8f%e6%a0%b7%e6%9c%ac%e9%87%8f\/","title":{"rendered":"T \u68c0\u9a8c\u7684\u6700\u5c0f\u6837\u672c\u91cf\uff1a\u89e3\u91ca\u548c\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5b66\u751f\u63d0\u51fa\u7684\u4e00\u4e2a\u5e38\u89c1\u95ee\u9898\u662f\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6267\u884c t \u68c0\u9a8c\u662f\u5426\u9700\u8981\u6700\u5c0f\u6837\u672c\u91cf\uff1f<\/strong><\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u77ed\u7684\u56de\u7b54\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e0d\u9700\u8981\u3002\u6267\u884c t \u68c0\u9a8c\u6ca1\u6709\u6700\u5c0f\u6837\u672c\u91cf\u8981\u6c42\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u4e0a\uff0c\u7b2c\u4e00\u6b21\u4f7f\u7528\u7684t\u68c0\u9a8c\u53ea\u4f7f\u7528\u4e86<a href=\"https:\/\/en.wikipedia.org\/wiki\/Student%27s_t-test\" target=\"_blank\" rel=\"noopener\">\u56db\u4e2a\u4eba\u7684\u6837\u672c<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f46\u662f\uff0c\u5982\u679c\u4e0d\u6ee1\u8db3 t \u68c0\u9a8c\u7684\u5047\u8bbe\uff0c\u5219\u7ed3\u679c\u53ef\u80fd\u4e0d\u53ef\u9760\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u5916\uff0c\u5982\u679c\u6837\u672c\u91cf\u592a\u5c0f\uff0c\u68c0\u9a8c\u7684\u529f\u6548\u53ef\u80fd\u592a\u4f4e\uff0c\u65e0\u6cd5\u68c0\u6d4b\u6570\u636e\u4e2d\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba9\u6211\u4eec\u66f4\u8be6\u7ec6\u5730\u770b\u770b\u8fd9\u4e9b\u6f5c\u5728\u95ee\u9898\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e86\u89e3 t \u68c0\u9a8c\u5047\u8bbe<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u5355\u6837\u672c t \u68c0\u9a8c<\/strong>\u7528\u4e8e\u6d4b\u8bd5\u603b\u4f53\u5e73\u5747\u503c\u662f\u5426\u7b49\u4e8e\u67d0\u4e2a\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u6d4b\u8bd5\u505a\u51fa\u4ee5\u4e0b\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u72ec\u7acb\u6027<\/strong>\uff1a\u6837\u672c\u89c2\u5bdf\u5fc5\u987b\u662f\u72ec\u7acb\u7684\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u968f\u673a\u62bd\u6837<\/strong>\uff1a\u5e94\u4f7f\u7528\u968f\u673a\u62bd\u6837\u65b9\u6cd5\u6536\u96c6\u89c2\u5bdf\u7ed3\u679c\uff0c\u4ee5\u6700\u5927\u9650\u5ea6\u5730\u63d0\u9ad8\u6837\u672c<a href=\"https:\/\/statorials.org\/cn\/\u4ee3\u8868\u6027\u6837\u672c1\/\" target=\"_blank\" rel=\"noopener\">\u4ee3\u8868<\/a>\u611f\u5174\u8da3\u603b\u4f53\u7684\u673a\u4f1a\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u6b63\u6001\u6027<\/strong>\uff1a\u89c2\u5bdf\u503c\u5e94\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u53cc\u6837\u672c t \u68c0\u9a8c<\/strong>\u7528\u4e8e\u68c0\u67e5\u4e24\u4e2a\u603b\u4f53\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u6d4b\u8bd5\u505a\u51fa\u4ee5\u4e0b\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u72ec\u7acb\u6027<\/strong>\uff1a\u6bcf\u4e2a\u6837\u672c\u7684\u89c2\u5bdf\u7ed3\u679c\u5fc5\u987b\u662f\u72ec\u7acb\u7684\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u968f\u673a\u62bd\u6837<\/strong>\uff1a\u5e94\u4f7f\u7528\u968f\u673a\u62bd\u6837\u65b9\u6cd5\u6536\u96c6\u6bcf\u4e2a\u6837\u672c\u7684\u89c2\u5bdf\u7ed3\u679c\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u6b63\u6001\u6027<\/strong>\uff1a\u6bcf\u4e2a\u6837\u672c\u5e94\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u65b9\u5dee\u76f8\u7b49<\/strong>\uff1a\u6bcf\u4e2a\u6837\u672c\u5e94\u5177\u6709\u5927\u81f4\u76f8\u540c\u7684\u65b9\u5dee\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6267\u884c\u6bcf\u79cd\u7c7b\u578b\u7684 t \u68c0\u9a8c\u65f6\uff0c\u5982\u679c\u4e0d\u6ee1\u8db3\u8fd9\u4e9b\u5047\u8bbe\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\uff0c\u5219\u68c0\u9a8c\u7ed3\u679c\u53ef\u80fd\u4f1a\u53d8\u5f97\u4e0d\u53ef\u9760\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6700\u597d\u4f7f\u7528\u4e0d\u505a\u51fa\u8fd9\u4e9b\u5047\u8bbe\u7684\u66ff\u4ee3\u975e\u53c2\u6570\u68c0\u9a8c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5355\u6837\u672c t \u68c0\u9a8c\u7684\u975e\u53c2\u6570\u66ff\u4ee3\u65b9\u6cd5\u662f<a href=\"https:\/\/statorials.org\/cn\/wilcoxon-\u7b26\u53f7\u79e9\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">Wilcoxon \u7b26\u53f7\u79e9\u68c0\u9a8c<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e24\u6837\u672c t \u68c0\u9a8c\u7684\u975e\u53c2\u6570\u66ff\u4ee3\u65b9\u6cd5\u662f<a href=\"https:\/\/statorials.org\/cn\/\u66fc\u60e0\u7279\u5c3cu\u6d4b\u8bd5\/\" target=\"_blank\" rel=\"noopener\">\u66fc-\u60e0\u7279\u5c3c U \u68c0\u9a8c<\/a>\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e86\u89e3 t \u68c0\u9a8c\u7684\u5a01\u529b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u7edf\u8ba1\u529f\u6548<\/strong>\u662f\u6307\u6d4b\u8bd5\u68c0\u6d4b\u5230\u5b9e\u9645\u5b58\u5728\u7684\u6548\u679c\u7684\u6982\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u53ef\u4ee5\u770b\u51fa\uff0c\u4f7f\u7528\u7684\u6837\u672c\u91cf\u8d8a\u5c0f\uff0c\u7ed9\u5b9a\u6d4b\u8bd5\u7684\u7edf\u8ba1\u529f\u6548\u5c31\u8d8a\u4f4e\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u7814\u7a76\u4eba\u5458\u901a\u5e38\u9700\u8981\u66f4\u5927\u7684\u6837\u672c\u91cf\uff0c\u4ee5\u83b7\u5f97\u66f4\u9ad8\u7684\u529f\u6548\uff0c\u4ece\u800c\u66f4\u6709\u53ef\u80fd\u68c0\u6d4b\u5230\u771f\u6b63\u7684\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u4e24\u4e2a\u7fa4\u4f53\u4e4b\u95f4\u7684<a href=\"https:\/\/statorials.org\/cn\/\u89c4\u6a21\u6548\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u771f\u5b9e\u6548\u5e94\u5927\u5c0f<\/a>\u4e3a 0.5\u2014\u2014\u201c\u4e2d\u7b49\u201d\u6548\u5e94\u5927\u5c0f\u3002\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b R \u4ee3\u7801\u6765\u8ba1\u7b97\u4f7f\u7528\u4e0d\u540c\u6837\u672c\u91cf\u7684\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u7684\u529f\u6548\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sample size n=10<\/span>\npower. <span style=\"color: #3366ff;\">t<\/span> . <span style=\"color: #3366ff;\">test<\/span> (n=10, delta=.5, sd=1, sig.level=.05, type=' <span style=\"color: #ff0000;\">two.sample<\/span> ')$power\n\n[1] 0.1838375\n\n<span style=\"color: #008080;\">#sample size n=30<\/span>\npower. <span style=\"color: #3366ff;\">t<\/span> . <span style=\"color: #3366ff;\">test<\/span> (n=30, delta=.5, sd=1, sig.level=.05, type=' <span style=\"color: #ff0000;\">two.sample<\/span> ')$power\n\n[1] 0.477841\n\n<span style=\"color: #008080;\">#sample size n=50<\/span>\npower. <span style=\"color: #3366ff;\">t<\/span> . <span style=\"color: #3366ff;\">test<\/span> (n=50, delta=.5, sd=1, sig.level=.05, type=' <span style=\"color: #ff0000;\">two.sample<\/span> ')$power\n\n[1] 0.6968888\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5f53\u6bcf\u4e2a\u6837\u672c\u7684\u5927\u5c0f\u4e3a n = 10 \u65f6\uff0c\u529f\u6548\u4e3a<strong>0.184<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5f53\u6bcf\u4e2a\u6837\u672c\u7684\u5927\u5c0f\u4e3a n = 30 \u65f6\uff0c\u529f\u6548\u4e3a<strong>0.478<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5f53\u6bcf\u4e2a\u6837\u672c\u7684\u5927\u5c0f\u4e3a n = 50 \u65f6\uff0c\u529f\u6548\u4e3a<strong>0.697<\/strong> \u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u968f\u7740\u6837\u672c\u91cf\u7684\u589e\u52a0\uff0c\u68c0\u9a8c\u7684\u529f\u6548\u4e5f\u968f\u4e4b\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec<em>\u4e0d\u9700\u8981<\/em>\u6700\u5c0f\u6837\u672c\u91cf\u6765\u6267\u884c t \u68c0\u9a8c\uff0c\u4f46\u5c0f\u6837\u672c\u91cf\u4f1a\u5bfc\u81f4\u7edf\u8ba1\u529f\u6548\u8f83\u4f4e\uff0c\u4ece\u800c\u964d\u4f4e\u68c0\u6d4b\u6570\u636e\u771f\u5b9e\u5dee\u5f02\u7684\u80fd\u529b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u7ed3\u8bba<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u6211\u4eec\u6240\u5b66\u5230\u7684\u5185\u5bb9\u7684\u603b\u7ed3\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6267\u884c t \u68c0\u9a8c\u6ca1\u6709\u6700\u5c0f\u6837\u672c\u91cf\u8981\u6c42\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5982\u679c\u4e0d\u6ee1\u8db3 t \u68c0\u9a8c\u7684\u5047\u8bbe\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u975e\u53c2\u6570\u66ff\u4ee3\u65b9\u6848\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5982\u679c\u6837\u672c\u91cf\u592a\u5c0f\uff0ct \u68c0\u9a8c\u7684\u529f\u6548\u5c31\u4f1a\u5f88\u4f4e\uff0c\u5e76\u4e14\u68c0\u9a8c\u68c0\u6d4b\u6570\u636e\u4e2d\u771f\u5b9e\u5dee\u5f02\u7684\u80fd\u529b\u4e5f\u4f1a\u5f88\u4f4e\u3002<\/span><\/li>\n<\/ul>\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\u6709\u5173 t \u68c0\u9a8c\u7684\u66f4\u591a\u4fe1\u606f\u3002<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c-t-\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5355\u6837\u672c t \u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6d4b\u8bd5\u4f60\u7684\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u6837\u672ct\u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/t-\u68c0\u9a8c\u5047\u8bbe\/\" target=\"_blank\" rel=\"noopener\">t \u68c0\u9a8c\u4e2d\u63d0\u51fa\u7684\u56db\u4e2a\u5047\u8bbe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b66\u751f\u63d0\u51fa\u7684\u4e00\u4e2a\u5e38\u89c1\u95ee\u9898\u662f\uff1a \u6267\u884c t \u68c0\u9a8c\u662f\u5426\u9700\u8981\u6700\u5c0f\u6837\u672c\u91cf\uff1f \u7b80\u77ed\u7684\u56de\u7b54\uff1a \u4e0d\u9700\u8981\u3002\u6267\u884c t \u68c0\u9a8c\u6ca1\u6709\u6700\u5c0f\u6837 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