{"id":582,"date":"2023-07-29T10:38:11","date_gmt":"2023-07-29T10:38:11","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8cexcel\/"},"modified":"2023-07-29T10:38:11","modified_gmt":"2023-07-29T10:38:11","slug":"%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8cexcel","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%b8%a4%e4%b8%aa%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8cexcel\/","title":{"rendered":"\u5982\u4f55\u5728 excel \u4e2d\u6267\u884c\u53cc\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\"><strong>\u53cc\u6837\u672c t \u68c0\u9a8c<\/strong><\/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 Excel \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u53cc\u6837\u672c t \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\u67d0\u4e2a\u56fd\u5bb6\u7684\u4e24\u79cd\u4e0d\u540c\u690d\u7269\u7269\u79cd\u662f\u5426\u5177\u6709\u76f8\u540c\u7684\u5e73\u5747\u9ad8\u5ea6\u3002\u7531\u4e8e\u7ed5\u4e00\u5708\u6d4b\u91cf\u6bcf\u682a\u690d\u7269\u9700\u8981\u5f88\u957f\u65f6\u95f4\uff0c\u56e0\u6b64\u4ed6\u4eec\u51b3\u5b9a\u5bf9\u6bcf\u4e2a\u7269\u79cd\u7684 20 \u682a\u690d\u7269\u8fdb\u884c\u91c7\u6837\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86\u6bcf\u4e2a\u6837\u672c\u4e2d\u6bcf\u682a\u690d\u7269\u7684\u9ad8\u5ea6\uff08\u4ee5\u82f1\u5bf8\u4e3a\u5355\u4f4d\uff09\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5289 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel1.png\" alt=\"Excel \u4e2d t \u68c0\u9a8c\u793a\u4f8b\u6570\u636e\u7684\u4e24\u4e2a\u793a\u4f8b\" width=\"549\" height=\"572\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u6b65\u9aa4\u8fdb\u884c\u53cc\u6837\u672c t \u68c0\u9a8c\u6765\u786e\u5b9a\u4e24\u4e2a\u7269\u79cd\u662f\u5426\u5177\u6709\u76f8\u540c\u7684\u5e73\u5747\u9ad8\u5ea6\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u786e\u5b9a\u603b\u4f53\u65b9\u5dee\u662f\u5426\u76f8\u7b49<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u6267\u884c\u53cc\u6837\u672c t \u68c0\u9a8c\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u51b3\u5b9a\u662f\u5426\u5047\u8bbe\u4e24\u4e2a\u603b\u4f53\u5177\u6709\u76f8\u7b49\u6216\u4e0d\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<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 Excel \u51fd\u6570<strong>=VAR.S(Cell range)<\/strong>\u627e\u5230\u6bcf\u4e2a\u6837\u672c\u7684\u65b9\u5dee\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5291 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel2.png\" alt=\"\u5728 Excel \u4e2d\u67e5\u627e\u6837\u672c\u65b9\u5dee\u7684\u793a\u4f8b\" width=\"550\" height=\"574\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5927\u6837\u672c\u65b9\u5dee\u4e0e\u6700\u5c0f\u6837\u672c\u65b9\u5dee\u4e4b\u6bd4\u4e3a 12.9053\/8.1342 = <strong>1.586<\/strong> \uff0c\u5c0f\u4e8e 4\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa42\uff1a\u6253\u5f00\u5206\u6790\u5de5\u5177\u5e93<\/strong>\u3002<\/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\" width=\"498\" height=\"190\" 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<a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93\/\" target=\"_blank\" rel=\"noopener\">\u4e0b\u8f7d\u5b8c\u5168\u514d\u8d39\u7684\u5206\u6790\u5de5\u5177\u5e93<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u9009\u62e9\u8981\u4f7f\u7528\u7684\u9002\u5f53\u6d4b\u8bd5\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9009\u62e9<em>t \u68c0\u9a8c\uff1a\u5047\u8bbe\u65b9\u5dee\u76f8\u7b49\u7684\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-5293 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel4.png\" alt=\"\u5728 Excel \u4e2d\u4f7f\u7528\u5206\u6790\u5de5\u5177\u5e93\u8fdb\u884c t \u68c0\u9a8c\u7684\u4e24\u4e2a\u793a\u4f8b\" width=\"501\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c4\u6b65\uff1a\u8f93\u5165\u5fc5\u8981\u7684\u4fe1\u606f<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8f93\u5165\u53d8\u91cf 1\uff08\u6211\u4eec\u7684\u7b2c\u4e00\u4e2a\u6837\u672c\uff09\u3001\u53d8\u91cf 2\uff08\u6211\u4eec\u7684\u7b2c\u4e8c\u4e2a\u6837\u672c\uff09\u3001\u5047\u8bbe\u5747\u503c\u5dee\uff08\u5728\u672c\u4f8b\u4e2d\u6211\u4eec\u8f93\u5165\u201c0\u201d\uff0c\u56e0\u4e3a\u6211\u4eec\u60f3\u77e5\u9053\u771f\u5b9e\u603b\u4f53\u5747\u503c\u5dee\u662f\u5426\u4e3a 0\uff09\u7684\u503c\u8303\u56f4\uff0c\u4ee5\u53ca\u6211\u4eec\u5e0c\u671b\u770b\u5230\u663e\u793a\u7684 t \u68c0\u9a8c\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-5295 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel5.png\" alt=\"Excel \u4e2d\u7b49\u65b9\u5dee\u7684\u4e24\u6837\u672c T \u68c0\u9a8c\" width=\"565\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 5 \u6b65\uff1a\u89e3\u91ca\u7ed3\u679c<\/strong>\u3002<\/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-5296 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel6.png\" alt=\"\u5982\u4f55\u5728 Excel \u4e2d\u89e3\u91ca\u53cc\u6837\u672c t \u68c0\u9a8c\u7684\u7ed3\u679c\" width=\"607\" height=\"430\" 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\u6837\u54c1 1 \u7684\u5e73\u5747\u9ad8\u5ea6\u4e3a<strong>15.15<\/strong> \uff0c\u6837\u54c1 2 \u7684\u5e73\u5747\u9ad8\u5ea6\u4e3a<strong>15.8<\/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\u6837\u672c 1 \u7684\u65b9\u5dee\u4e3a<strong>8.13<\/strong> \uff0c\u6837\u672c 2 \u7684\u65b9\u5dee\u4e3a<strong>12.90<\/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\uff08\u4f8b\u5982\uff0c\u6bcf\u4e2a\u6837\u672c\u4e2d\u6709 20 \u4e2a\u4e2a\u4f53\u690d\u7269\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5408\u5e76\u65b9\u5dee\uff1a<\/strong>\u4f7f\u7528\u516c\u5f0f s <sup>2<\/sup> <sub>p<\/sub> = [ (n <sub>1<\/sub> -1)s <sup>2<\/sup> <sub>1<\/sub> + (n <sub>2<\/sub> -1)s <sup>2<\/sup> <sub>2<\/sub> ] \/ (n <sub>1<\/sub> +n <sub>2<\/sub> &#8211; 2)\uff0c\u7ed3\u679c\u662f<strong>10.51974<\/strong> \u3002\u7136\u540e\u5728\u8ba1\u7b97<em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u65f6\u4f7f\u7528\u8be5\u6570\u5b57\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u5747\u503c\u5dee\uff1a<\/strong>\u6211\u4eec\u201c\u5047\u8bbe\u201d\u7684\u6570\u5b57\u662f\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6211\u4eec\u9009\u62e9<strong>0 \u662f<\/strong>\u56e0\u4e3a\u6211\u4eec\u60f3\u8981\u6d4b\u8bd5\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u662f\u5426\u7b49\u4e8e 0\uff0c\u4f8b\u5982\u662f\u5426\u6ca1\u6709\u5dee\u5f02\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>df\uff1a<\/strong> t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a n <sub>1<\/sub> + n <sub>2<\/sub> -2 = 20 + 20 \u2013 2 = <strong>38<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t Stat\uff1a<\/strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf<em>t<\/em> \uff0c\u8ba1\u7b97\u516c\u5f0f\u4e3a<em>t<\/em> = [ <span style=\"text-decoration: overline;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> <sub>2<\/sub> ] \/ \u221a [s <sup>2<\/sup> <sub>p<\/sub> (1\/n <sub>1<\/sub> + 1\/n <sub>2<\/sub> )]<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c <em>t<\/em> = [15.15-15.8] \/ \u221a [10.51974(1\/20+1\/20)] = <strong>-0.63374<\/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\u672c\u4f8b\u4e2d\uff0cp = <strong>0.530047<\/strong> \u3002\u8fd9\u6bd4 alpha = 0.05 \u5927\u5f97\u591a\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u4eba\u7fa4\u7684\u624b\u6bb5\u4e0d\u540c\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t \u53cc\u5c3e\u4e34\u754c\uff1a<\/strong>\u8fd9\u662f\u68c0\u9a8c\u7684\u4e34\u754c\u503c\uff0c\u901a\u8fc7\u8bc6\u522b t \u5206\u5e03\u8868\u4e2d\u5bf9\u5e94\u4e8e alpha = 0.05 \u548c df = 38 \u7684\u53cc\u5c3e\u68c0\u9a8c\u7684\u503c\u627e\u5230\u3002\u7ed3\u679c\u662f<strong>2\uff0c 024394<\/strong> \u3002\u7531\u4e8e\u6211\u4eec\u7684<em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u8be5\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u4eba\u7fa4\u7684\u624b\u6bb5\u4e0d\u540c\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\u8bf4\u660e\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5176\u4ed6\u7c7b\u578b\u7684 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\/excel\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\">\u5982\u4f55\u5728 Excel \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 Excel \u4e2d\u6267\u884c\u4e24\u4e2a\u6837\u672c t \u68c0\u9a8c\u3002 \u5982 [&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-582","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 Excel \u4e2d\u6267\u884c\u53cc\u6837\u672c t 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