{"id":773,"date":"2023-07-28T19:45:12","date_gmt":"2023-07-28T19:45:12","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%8d%95%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90-2\/"},"modified":"2023-07-28T19:45:12","modified_gmt":"2023-07-28T19:45:12","slug":"%e5%8d%95%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90-2","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%8d%95%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90-2\/","title":{"rendered":"\u5982\u4f55\u624b\u52a8\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\uff08\u201c\u65b9\u5dee\u5206\u6790\u201d\uff09\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5747\u503c\uff0c\u4ee5\u786e\u5b9a\u76f8\u5e94\u603b\u4f53\u7684\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u624b\u52a8\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u793a\u4f8b\uff1a\u624b\u52a8\u5355\u5411\u65b9\u5dee\u5206\u6790<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u8003\u8bd5\u51c6\u5907\u8ba1\u5212\u662f\u5426\u4f1a\u5bfc\u81f4\u7ed9\u5b9a\u8003\u8bd5\u7684\u5e73\u5747\u5206\u6570\u4e0d\u540c\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u62db\u52df\u4e86 30 \u540d\u5b66\u751f\u53c2\u52a0\u4e00\u9879\u7814\u7a76\uff0c\u5e76\u5c06\u4ed6\u4eec\u5206\u4e3a\u4e09\u7ec4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u7ec4\u7684\u5b66\u751f\u88ab\u968f\u673a\u5206\u914d\u5728\u63a5\u4e0b\u6765\u7684\u4e09\u5468\u5185\u4f7f\u7528\u4e09\u4e2a\u8003\u8bd5\u51c6\u5907\u8ba1\u5212\u4e4b\u4e00\u6765\u51c6\u5907\u8003\u8bd5\u3002\u4e09\u5468\u7ed3\u675f\u65f6\uff0c\u6240\u6709\u5b66\u751f\u90fd\u53c2\u52a0\u76f8\u540c\u7684\u8003\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u7ec4\u8003\u8bd5\u6210\u7ee9\u5982\u4e0b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u5355\u5411\u65b9\u5dee\u5206\u6790\u6570\u636e\u793a\u4f8b\" width=\"237\" height=\"246\"><\/p>\n<p><span style=\"color: #000000;\">\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u624b\u52a8\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\uff0c\u4ee5\u786e\u5b9a\u4e09\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u662f\u5426\u4e0d\u540c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa41\uff1a\u8ba1\u7b97\u7ec4\u5e73\u5747\u6570\u548c\u603b\u5e73\u5747\u6570\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u8ba1\u7b97\u4e09\u7ec4\u7684\u5e73\u5747\u503c\u4ee5\u53ca\u603b\u4f53\u5e73\u5747\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovamain1-1.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa42\uff1a\u8ba1\u7b97SSR\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u5e73\u65b9\u548c\u56de\u5f52\uff08SSR\uff09\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">n\u03a3(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u7b2c j \u7ec4\u7684\u6837\u672c\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u5e0c\u814a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : \u7b2c j \u7ec4\u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : \u603b\u4f53\u5e73\u5747\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97\u51fa SSR = 10(83.4-85.8) <sup>2<\/sup> + 10(89.3-85.8) <sup>2<\/sup> + 10(84.7-85.8) <sup>2<\/sup> = <strong>192.2<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97 SES\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u5e73\u65b9\u8bef\u5dee\u548c (SSE)\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3(X <sub>ij<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u5e0c\u814a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>ij<\/sub><\/strong> \uff1a j \u7ec4\u7684<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u5bdf\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub><\/strong> : \u7b2c j \u7ec4\u7684\u5e73\u5747\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97 SSE \u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u7ec4\uff1a<\/strong> (85-83.4) <sup>2<\/sup> + (86-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (75-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (78-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (94-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (98-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (79-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (71-83.4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (80-83.4) <sup>2<\/sup> = <strong>640.4<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u7ec4\uff1a<\/strong> (91-89.3) <sup>2<\/sup> + (92-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (93-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (87-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (84-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (82-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (95-89.3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (96-89.3) <sup>2<\/sup> = <strong>208.1<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 3 \u7ec4\uff1a<\/strong> (79-84.7) <sup>2<\/sup> + (78-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (94-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (92-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (83-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (82-84.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-84.7) <sup>2<\/sup> = <strong>252.1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ESS\uff1a<\/strong> 640.4 + 208.1 + 252.1 = <strong>1,100.6<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u8ba1\u7b97 SST\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u603b\u5e73\u65b9\u548c (SST)\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\uff0c\u6d77\u6e29 = 192.2 + 1100.6 = <strong>1292.8<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 5 \u6b65\uff1a\u5b8c\u6210\u65b9\u5dee\u5206\u6790\u8868\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u6211\u4eec\u6709\u4e86 SSR\u3001SSE \u548c SST\uff0c\u6211\u4eec\u53ef\u4ee5\u586b\u5145 ANOVA \u8868\uff1a<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u6765\u6e90<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u5e73\u65b9\u548c (SS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">df<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u5747\u65b9 (MS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">F<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>\u6cbb\u7597<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">192.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2,358<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>\u9519\u8bef<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">1100.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">40.8<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>\u5168\u90e8\u7684<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">1292.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u6211\u4eec\u8ba1\u7b97\u8868\u4e2d\u4e0d\u540c\u6570\u5b57\u7684\u65b9\u6cd5\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5904\u7406df\uff1a<\/strong> k-1=3-1=2<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u8bef\u5deedf\uff1a<\/strong> nk=30-3=27<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u603b df\uff1a<\/strong> n-1 = 30-1 = 29<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>SEP\u5904\u7406\uff1a<\/strong> SST\u5904\u7406\/df=192.2\/2=96.1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS\u8bef\u5dee\uff1a<\/strong> SSE\u8bef\u5dee\/df=1100.6\/27=40.8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F:<\/strong> MS \u5904\u7406 \/ MS \u8bef\u5dee = 96.1 \/ 40.8 = 2.358<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\uff1a<\/strong> n = \u89c2\u5bdf\u603b\u6570\uff0ck = \u7ec4\u6570<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 6 \u6b65\uff1a\u89e3\u91ca\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u5355\u5411\u65b9\u5dee\u5206\u6790\u7684 F \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>2.358<\/strong> \u3002\u4e3a\u4e86\u786e\u5b9a\u8fd9\u662f\u5426\u662f\u4e00\u4e2a\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u7684\u7ed3\u679c\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5176\u4e0e<a href=\"https:\/\/statorials.org\/cn\/f\u5206\u5e03\u8868\/\" target=\"_blank\" rel=\"noopener\">F \u5206\u5e03\u8868<\/a>\u4e2d\u7684\u4e34\u754c F \u503c\u8fdb\u884c\u6bd4\u8f83\uff0c\u5176\u503c\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b1\uff08\u663e\u7740\u6027\u6c34\u5e73\uff09= 0.05<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF1\uff08\u5206\u5b50\u81ea\u7531\u5ea6\uff09= df \u5904\u7406 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF2\uff08\u5206\u6bcd\u81ea\u7531\u5ea6\uff09=\u8bef\u5deedf=27<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53d1\u73b0 F \u7684\u4e34\u754c\u503c\u4e3a<strong>3.3541<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u65b9\u5dee\u5206\u6790\u8868\u4e2d\u7684 F \u68c0\u9a8c\u7edf\u8ba1\u91cf\u5c0f\u4e8e F \u5206\u5e03\u8868\u4e2d\u7684\u4e34\u754c\u503c F\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e09\u7ec4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u4e4b\u95f4\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u989d\u5916\u8d44\u6e90\uff1a<\/strong>\u4f7f\u7528\u6b64<a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u8fbe\u8bfa\u74e6\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u8ba1\u7b97\u5668<\/a>\u53ef\u81ea\u52a8\u5bf9\u6700\u591a\u4e94\u4e2a\u6837\u672c\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u5411\u65b9\u5dee\u5206\u6790\uff08\u201c\u65b9\u5dee\u5206\u6790\u201d\uff09\u6bd4\u8f83\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5747\u503c\uff0c\u4ee5\u786e\u5b9a\u76f8\u5e94\u603b\u4f53\u7684\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002 \u672c\u6559\u7a0b [&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-773","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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