{"id":650,"date":"2023-07-29T05:23:36","date_gmt":"2023-07-29T05:23:36","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8cexcel\/"},"modified":"2023-07-29T05:23:36","modified_gmt":"2023-07-29T05:23:36","slug":"%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8cexcel","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8cexcel\/","title":{"rendered":"\u5982\u4f55\u5728 excel \u4e2d\u6267\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u7ec4\u4e4b\u95f4\u5747\u503c\u7684\u6700\u5e38\u89c1\u65b9\u6cd5\u662f\u4f7f\u7528<strong>\u53cc\u6837\u672c t \u68c0\u9a8c<\/strong>\u3002\u7136\u800c\uff0c\u8be5\u68c0\u9a8c\u5047\u8bbe\u4e24\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u8ba4\u4e3a\u4e24\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee<em>\u4e0d<\/em>\u76f8\u7b49\uff0c\u5219\u53ef\u4ee5\u4f7f\u7528<strong><a href=\"https:\/\/statorials.org\/cn\/\u97e6\u5c14\u5947t\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">Welch t \u68c0\u9a8c<\/a><\/strong>\uff0c\u5b83\u662f\u53cc\u6837\u672c t \u68c0\u9a8c\u7684\u975e\u53c2\u6570\u7b49\u6548\u9879\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c Welch t \u68c0\u9a8c\u3002<\/span><\/p>\n<h2><strong>\u793a\u4f8b\uff1aExcel \u4e2d\u7684\u97e6\u5c14\u5947 t \u68c0\u9a8c<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5c06\u6bd4\u8f83 12 \u540d\u4f7f\u7528\u8003\u8bd5\u51c6\u5907\u624b\u518c\u51c6\u5907\u8003\u8bd5\u7684\u5b66\u751f\u4e0e 12 \u540d\u672a\u4f7f\u7528\u8003\u8bd5\u51c6\u5907\u624b\u518c\u7684\u5b66\u751f\u7684\u6210\u7ee9\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u6267\u884c Welch&#8217;t t \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u4e24\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u662f\u5426\u5b58\u5728\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a\u8f93\u5165\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u5c06\u8003\u8bd5\u7ed3\u679c\u8f93\u5165\u4e24\u5217\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6189 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/welchexcel1.png\" alt=\"Excel \u4e2d\u7684\u539f\u59cb\u6570\u636e\" width=\"395\" height=\"392\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u6267\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728 Excel \u7684\u9876\u90e8\u529f\u80fd\u533a\u4e0a\uff0c\u8f6c\u5230<strong>\u201c\u6570\u636e\u201d<\/strong>\u9009\u9879\u5361\uff0c\u7136\u540e\u5355\u51fb<strong>\u201c\u6570\u636e\u5206\u6790\u201d<\/strong> \u3002\u5982\u679c\u60a8\u6ca1\u6709\u770b\u5230\u6b64\u9009\u9879\uff0c\u5219\u5fc5\u987b\u9996\u5148<\/span><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93\/\" target=\"_blank\" rel=\"noopener\">\u5b89\u88c5\u514d\u8d39\u7684\u5206\u6790\u5de5\u5177\u5e93\u8f6f\u4ef6<\/a>\u3002 <\/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=\"\" width=\"511\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5355\u51fb\u201c\u6570\u636e\u5206\u6790\u201d\u540e\uff0c\u5c06\u51fa\u73b0\u4e00\u4e2a\u65b0\u7a97\u53e3\u3002\u9009\u62e9<strong>t \u68c0\u9a8c\uff1a\u5047\u8bbe\u65b9\u5dee\u4e0d\u7b49\u7684\u4e24\u4e2a\u6837\u672c<\/strong>\uff0c\u7136\u540e\u5355\u51fb<strong>\u201c\u786e\u5b9a\u201d<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u65b0\u7a97\u53e3\u4e2d\uff0c\u8f93\u5165<strong>\u53d8\u91cf 1<\/strong>\u548c<strong>\u53d8\u91cf 2<\/strong>\u7684\u6570\u636e\u503c\u8303\u56f4\uff0c\u5305\u62ec\u5b83\u4eec\u7684\u7ec4\u6807\u7b7e\u3002\u5bf9\u4e8e<strong>\u5047\u8bbe\u5e73\u5747\u5dee<\/strong>\uff0c\u8f93\u5165 0\u3002\u9009\u4e2d<strong>\u6807\u7b7e<\/strong>\u65c1\u8fb9\u7684\u6846\u3002\u5c06<strong>Alpha<\/strong>\u8bbe\u7f6e\u4e3a 0.05\u3002\u5bf9\u4e8e<strong>\u8f93\u51fa\u8303\u56f4<\/strong>\uff0c\u9009\u62e9\u60a8\u60f3\u8981\u663e\u793a\u6d4b\u8bd5\u7ed3\u679c\u7684\u5355\u5143\u683c\u3002\u7136\u540e\u5355\u51fb<strong>\u201c\u786e\u5b9a\u201d<\/strong> \u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6195 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/welchexcel2.png\" alt=\"Excel \u4e2d\u97e6\u5c14\u5947 t \u68c0\u9a8c\u7684\u793a\u4f8b\" width=\"440\" height=\"513\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u52a8\u51fa\u73b0\u4ee5\u4e0b\u8f93\u51fa\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-6191 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/welchexcel3.png\" alt=\"Excel \u4e2d\u97e6\u5c14\u5947 t \u68c0\u9a8c\u7684\u8f93\u51fa\" width=\"573\" height=\"364\" srcset=\"\" sizes=\"auto, \"><\/p>\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;\"><strong>\u5e73\u5747\u5206\uff1a<\/strong>\u6bcf\u7ec4\u8003\u8bd5\u7684\u5e73\u5747\u5206\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u65b9\u5dee\uff1a<\/strong>\u5404\u7ec4\u8003\u8bd5\u6210\u7ee9\u7684\u65b9\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u89c2\u5bdf\u7ed3\u679c\uff1a<\/strong>\u6bcf\u7ec4\u7684\u6837\u672c\u91cf\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u5e73\u5747\u5dee\uff1a<\/strong>\u5728\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u4e2d\u4f7f\u7528\u7684\u5e73\u5747\u5dee\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df\uff1a<\/strong>\u7528\u4e8e\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u81ea\u7531\u5ea6\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a n <sub>1<\/sub> + n <sub>2<\/sub> \u2013 2\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t Stat\uff1a<\/strong>\u6d4b\u8bd5\u7684\u6d4b\u8bd5\u7edf\u8ba1\u91cf\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5355\u4fa7 P(T&lt;=t)\uff1a<\/strong>\u4e0e\u5355\u4fa7\u68c0\u9a8c\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u76f8\u5173\u7684 p \u503c\u3002\u5ffd\u7565\u8fd9\u4e00\u70b9\uff0c\u56e0\u4e3a\u6211\u4eec\u6b63\u5728\u6267\u884c\u53cc\u5c3e\u6d4b\u8bd5\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(T&lt;=t) \u53cc\u5c3e\uff1a<\/strong>\u4e0e\u53cc\u5c3e\u68c0\u9a8c\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u76f8\u5173\u7684 p \u503c\u3002\u7531\u4e8e\u8be5\u503c\u5c0f\u4e8e 0.05\uff0c\u6211\u4eec\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u4e24\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u5728 \u03b1 = 0.05 \u6c34\u5e73\u4e0a\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u7b2c\u4e09\u6b65\uff1a\u62a5\u544a\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u540e\uff0c\u6211\u4eec\u60f3\u62a5\u544a\u97e6\u5c14\u5947 t \u68c0\u9a8c\u7684\u7ed3\u679c\u3002\u4ee5\u4e0b\u662f\u5982\u4f55\u6267\u884c\u6b64\u64cd\u4f5c\u7684\u793a\u4f8b\uff1a<\/span><\/p>\n<blockquote data-slot-rendered-dynamic=\"true\">\n<p><span style=\"color: #000000;\">\u8fdb\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u4f7f\u7528\u8003\u8bd5\u51c6\u5907\u624b\u518c\u51c6\u5907\u8003\u8bd5\u7684\u5b66\u751f\u7ec4\u548c\u672a\u4f7f\u7528\u8003\u8bd5\u51c6\u5907\u624b\u518c\u7684\u5b66\u751f\u7ec4\u4e4b\u95f4\u7684\u8003\u8bd5\u6210\u7ee9\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u5b66\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002\u4e24\u7ec4\u7684\u6837\u672c\u91cf\u5747\u4e3a 12 \u540d\u5b66\u751f\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Welch \u7684 t \u68c0\u9a8c\u663e\u793a\uff0c\u4e24\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u5b58\u5728\u7edf\u8ba1\u5b66\u663e\u7740\u5dee\u5f02\uff08t=2.236\uff0cp=0.0421\uff09\u3002<\/span><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u7ec4\u4e4b\u95f4\u5747\u503c\u7684\u6700\u5e38\u89c1\u65b9\u6cd5\u662f\u4f7f\u7528\u53cc\u6837\u672c t \u68c0\u9a8c\u3002\u7136\u800c\uff0c\u8be5\u68c0\u9a8c\u5047\u8bbe\u4e24\u7ec4\u4e4b\u95f4\u7684\u65b9\u5dee\u76f8\u7b49\u3002 \u5982\u679c\u60a8\u8ba4\u4e3a\u4e24\u7ec4 [&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-650","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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