{"id":584,"date":"2023-07-29T10:29:28","date_gmt":"2023-07-29T10:29:28","guid":{"rendered":"https:\/\/statorials.org\/cn\/excel%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-29T10:29:28","modified_gmt":"2023-07-29T10:29:28","slug":"excel%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/excel%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u5728 excel \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u6bcf\u4e2a\u89c2\u5bdf\u503c\u53ef\u4ee5\u4e0e\u53e6\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u503c\u76f8\u5173\u8054\u65f6<a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\"><strong>\uff0c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/strong><\/a>\u7528\u4e8e\u6bd4\u8f83\u4e24\u4e2a\u6837\u672c\u7684\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u4e2a\u8bfe\u7a0b\u662f\u5426\u5bf9\u5b66\u751f\u5728\u7279\u5b9a\u8003\u8bd5\u4e2d\u7684\u8868\u73b0\u6709\u663e\u7740\u5f71\u54cd\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u8981\u6c42\u4e00\u4e2a\u73ed\u7ea7 20 \u540d\u5b66\u751f\u8fdb\u884c\u9884\u6d4b\u8bd5\u3002\u7136\u540e\u6211\u4eec\u8ba9\u6bcf\u4e2a\u5b66\u751f\u53c2\u52a0\u4e3a\u671f\u4e24\u5468\u7684\u8bfe\u7a0b\u3002\u7136\u540e\uff0c\u5b66\u751f\u91cd\u65b0\u53c2\u52a0\u7c7b\u4f3c\u96be\u5ea6\u7684\u6d4b\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6bd4\u8f83\u7b2c\u4e00\u6b21\u548c\u7b2c\u4e8c\u6b21\u6d4b\u8bd5\u7684\u5e73\u5747\u5206\u6570\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u6211\u4eec\u4f7f\u7528\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff0c\u56e0\u4e3a\u5bf9\u4e8e\u6bcf\u4e2a\u5b66\u751f\u6765\u8bf4\uff0c\u4ed6\u4eec\u5728\u7b2c\u4e00\u6b21\u6d4b\u8bd5\u4e2d\u7684\u5206\u6570\u53ef\u4ee5\u4e0e\u4ed6\u4eec\u5728\u7b2c\u4e8c\u6b21\u6d4b\u8bd5\u4e2d\u7684\u5206\u6570\u76f8\u5173\u8054\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86\u6bcf\u4e2a\u5b66\u751f\u7684\u524d\u6d4b\u6210\u7ee9\u548c\u540e\u6d4b\u6210\u7ee9\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5316 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pairedtestexcel.png\" alt=\"Excel \u4e2d\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u793a\u4f8b\" width=\"522\" height=\"532\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5b8c\u6210\u4ee5\u4e0b\u6b65\u9aa4\u6765\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u6d4b\u8bd5\u524d\u548c\u6d4b\u8bd5\u540e\u7684\u5e73\u5747\u6d4b\u8bd5\u5206\u6570\u662f\u5426\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa41\uff1a\u6253\u5f00\u6570\u636e\u5206\u6790\u5de5\u5177\u5e93\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u9876\u90e8\u529f\u80fd\u533a\u7684\u201c\u6570\u636e\u201d\u9009\u9879\u5361\u4e2d\uff0c\u5355\u51fb\u201c\u6570\u636e\u5206\u6790\u201d\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5292 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"Excel \u6570\u636e\u5206\u6790\u5de5\u5177\u5e93\u793a\u4f8b\" width=\"438\" height=\"167\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u6ca1\u6709\u770b\u5230\u8981\u5355\u51fb\u7684\u9009\u9879\uff0c\u5219\u9996\u5148\u9700\u8981<\/span>\u4e0b\u8f7d<span style=\"color: #000000;\">\u5b8c\u5168\u514d\u8d39\u7684<\/span><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93\/\" target=\"_blank\" rel=\"noopener\">\u5206\u6790\u5de5\u5177\u5e93<\/a>\u3002<\/p>\n<p><strong><span style=\"color: #000000;\">\u6b65\u9aa4 2\uff1a\u9009\u62e9\u8981\u4f7f\u7528\u7684\u9002\u5f53\u6d4b\u8bd5\u3002<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u9009\u62e9<em>T \u68c0\u9a8c\uff1a\u5747\u503c\u914d\u5bf9\u4e24\u4e2a\u6837\u672c \u7684<\/em>\u9009\u9879\uff0c\u7136\u540e\u5355\u51fb\u201c\u786e\u5b9a\u201d\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5318 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pairedtestexcel1.png\" alt=\"Excel \u4e2d\u7684\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\" width=\"497\" height=\"262\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8f93\u5165\u5fc5\u8981\u7684\u4fe1\u606f\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8f93\u5165\u53d8\u91cf 1\uff08\u6d4b\u8bd5\u524d\u5206\u6570\uff09\u3001\u53d8\u91cf 2\uff08\u6d4b\u8bd5\u540e\u5206\u6570\uff09\u3001\u5047\u8bbe\u5e73\u5747\u5dee\uff08\u5728\u672c\u4f8b\u4e2d\u6211\u4eec\u8f93\u5165\u201c0\u201d\uff0c\u56e0\u4e3a\u6211\u4eec\u60f3\u77e5\u9053\u771f\u5b9e\u5dee\u5f02\u662f\u5426\u6d4b\u8bd5\u524d\u548c\u6d4b\u8bd5\u540e\u5206\u6570\u4e4b\u95f4\u7684\u5e73\u5747\u503c\u4e3a 0\uff09\uff0c\u4ee5\u53ca\u6211\u4eec\u5e0c\u671b\u770b\u5230\u663e\u793a\u7684\u6d4b\u8bd5\u7ed3\u679c\u7684\u8f93\u51fa\u8303\u56f4\u3002\u7136\u540e\u5355\u51fb\u201c\u786e\u5b9a\u201d\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5319 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pairedtestexcel2.png\" alt=\"\u914d\u5bf9\u6837\u672c\u4ee5\u6d4b\u8bd5 Excel \u4e2d\u7684\u8f93\u5165\u6570\u636e\" width=\"562\" height=\"390\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 4 \u6b65\uff1a\u89e3\u91ca\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u4e0a\u4e00\u6b65\u4e2d\u5355\u51fb\u201c\u786e\u5b9a\u201d\u540e\uff0c\u5c06\u663e\u793a t \u68c0\u9a8c\u7ed3\u679c\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5320 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pairedtestexcel3.png\" alt=\"Excel \u4e2d\u7684\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7ed3\u679c\" width=\"578\" height=\"373\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e73\u5747\u503c\uff1a<\/strong>\u8fd9\u662f\u6bcf\u4e2a\u6837\u672c\u7684\u5e73\u5747\u503c\u3002\u524d\u6d4b\u5e73\u5747\u5206<strong>85.4\u5206<\/strong>\uff0c\u540e\u6d4b\u5e73\u5747\u5206<strong>87.2\u5206<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u5dee\uff1a<\/strong>\u8fd9\u662f\u6bcf\u4e2a\u6837\u672c\u7684\u65b9\u5dee\u3002\u524d\u6d4b\u5206\u6570\u7684\u65b9\u5dee\u4e3a<strong>51.51<\/strong> \uff0c\u540e\u6d4b\u5206\u6570\u7684\u65b9\u5dee\u4e3a<strong>36.06<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u89c2\u5bdf\u503c\uff1a<\/strong>\u8fd9\u662f\u6bcf\u4e2a\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u503c\u6570\u91cf\u3002\u4e24\u4e2a\u6837\u672c\u5747\u5305\u542b<strong>20 \u4e2a<\/strong>\u89c2\u5bdf\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u76ae\u5c14\u900a\u76f8\u5173\u6027\uff1a<\/strong>\u6d4b\u8bd5\u524d\u5206\u6570\u4e0e\u6d4b\u8bd5\u540e\u5206\u6570\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002\u7ed3\u679c\u662f<strong>0.918<\/strong> \u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u5747\u503c\u5dee\uff1a<\/strong>\u6211\u4eec\u201c\u5047\u8bbe\u201d\u7684\u6570\u5b57\u662f\u4e24\u4e2a\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6211\u4eec\u9009\u62e9<strong>0<\/strong> \uff0c\u56e0\u4e3a\u6211\u4eec\u60f3\u8981\u6d4b\u8bd5\u524d\u6d4b\u548c\u540e\u6d4b\u5206\u6570\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u5dee\u5f02\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>df\uff1a<\/strong> t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\u3002\u8ba1\u7b97\u516c\u5f0f\u4e3a n-1\uff0c\u5176\u4e2d n \u662f\u5bf9\u7684\u6570\u91cf\u3002\u5728\u672c\u4f8b\u4e2d\uff0cdf = 20 \u2013 1 = <strong>19<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t Stat\uff1a<\/strong> <em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u7ed3\u679c\u4e3a<strong>-2.78<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u53cc\u5c3e P(T&lt;=t)\uff1a<\/strong>\u53cc\u5c3e t \u68c0\u9a8c\u7684 p \u503c\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cp = <strong>0.011907<\/strong> \u3002\u8fd9\u5c0f\u4e8e alpha = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\uff0c\u6d4b\u8bd5\u524d\u548c\u6d4b\u8bd5\u540e\u7684\u5e73\u5747\u5206\u6570\u4e4b\u95f4\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p> t \u53cc\u5c3e\u4e34\u754c\uff1a\u8fd9\u662f\u68c0\u9a8c\u7684\u4e34\u754c\u503c\uff0c\u901a\u8fc7\u8bc6\u522b t \u5206\u5e03\u8868\u4e2d<span style=\"color: #000000;\">\u5bf9\u5e94\u4e8e alpha = 0.05 \u548c df = 19 \u7684\u53cc\u5c3e\u68c0\u9a8c<strong>\u7684<\/strong><\/span><span style=\"color: #000000;\"><strong>\u503c<\/strong>\u627e\u5230\u3002<\/span>\u7ed3\u679c\u662f 2\uff0c <span style=\"color: #000000;\"><strong>093024<\/strong> \u3002\u7531\u4e8e<em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5927\u4e8e\u8be5\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\uff0c\u6d4b\u8bd5\u524d\u548c\u6d4b\u8bd5\u540e\u7684\u5e73\u5747\u5206\u6570\u4e4b\u95f4\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cp \u503c\u548c\u4e34\u754c\u503c\u65b9\u6cd5\u90fd\u4f1a\u5f97\u51fa\u76f8\u540c\u7684\u7ed3\u8bba\u3002<\/span><\/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\u89e3\u91ca\u4e86\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5176\u4ed6 t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/excel-t-\u68c0\u9a8c\u6837\u672c\/\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e24\u4e2a\u6837\u672ct\u68c0\u9a8cexcel\/\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u53cc\u6837\u672c t \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u6bcf\u4e2a\u89c2\u5bdf\u503c\u53ef\u4ee5\u4e0e\u53e6\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u503c\u76f8\u5173\u8054\u65f6\uff0c\u914d\u5bf9\u6837\u672c t 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