{"id":776,"date":"2023-07-28T19:28:17","date_gmt":"2023-07-28T19:28:17","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e6%89%8b%e5%8a%a8%e9%87%8d%e5%a4%8d%e6%b5%8b%e9%87%8f\/"},"modified":"2023-07-28T19:28:17","modified_gmt":"2023-07-28T19:28:17","slug":"%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e6%89%8b%e5%8a%a8%e9%87%8d%e5%a4%8d%e6%b5%8b%e9%87%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e6%89%8b%e5%8a%a8%e9%87%8d%e5%a4%8d%e6%b5%8b%e9%87%8f\/","title":{"rendered":"\u5982\u4f55\u624b\u52a8\u6267\u884c\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u5206\u6790\u91cd\u590d\u6d4b\u91cf\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790<\/strong><\/a>\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u6027\u5dee\u5f02\uff0c\u5176\u4e2d\u6bcf\u7ec4\u4e2d\u51fa\u73b0\u76f8\u540c\u7684\u53d7\u8bd5\u8005\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u624b\u52a8\u6267\u884c\u5355\u5411\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u624b\u52a8\u5355\u5411\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u836f\u7269\u662f\u5426\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u53cd\u5e94\u65f6\u95f4\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u4ed6\u4eec\u6d4b\u91cf\u4e86\u4e94\u540d\u60a3\u8005\u5bf9\u6bcf\u79cd\u836f\u7269\u7684\u53cd\u5e94\u65f6\u95f4\uff08\u4ee5\u79d2\u4e3a\u5355\u4f4d\uff09\u3002\u7ed3\u679c\u5982\u4e0b\u6240\u793a\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8449 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/repanovahand1.png\" alt=\"\" width=\"315\" height=\"145\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6bcf\u4f4d\u60a3\u8005\u90fd\u5bf9\u4e09\u79cd\u836f\u7269\u4e2d\u7684\u6bcf\u4e00\u79cd\u8fdb\u884c\u6d4b\u91cf\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u4f7f\u7528\u5355\u5411\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u6765\u786e\u5b9a\u836f\u7269\u4e4b\u95f4\u7684\u5e73\u5747\u53cd\u5e94\u65f6\u95f4\u662f\u5426\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u624b\u52a8\u6267\u884c\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa41\uff1a\u8ba1\u7b97SST\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u603b\u5e73\u65b9\u548c (SST)\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">SST = s <sup>2<\/sup><sub>\u603b\u8ba1<\/sub>\uff08n<sub>\u603b\u8ba1<\/sub>-1\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><sub>\u603b\u8ba1<\/sub><\/strong>\uff1a\u6570\u636e\u96c6\u7684\u65b9\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n <sub>Total<\/sub><\/strong> \uff1a\u6570\u636e\u96c6\u4e2d\u7684\u89c2\u6d4b\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97 SST \u5982\u4e0b\uff1a(64.2667)(15-1) = <strong>899.7<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u8ba1\u7b97 SSB<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u5e73\u65b9\u548c\uff08SSB\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">SSB = \u03a3n <sub>j<\/sub> ( <span style=\"text-decoration: overline;\">x<\/span> <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span><sub>\u603b\u8ba1<\/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>n <sub>j<\/sub><\/strong> \uff1a\u7b2c<sup>j<\/sup>\u7ec4\u4e2d\u7684\u89c2\u5bdf\u603b\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>j<\/sub><\/strong> :<sup>\u7b2c j<\/sup>\u7ec4\u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><sub>\u603b\u8ba1<\/sub><\/strong>\uff1a\u6240\u6709\u6570\u636e\u7684\u5e73\u5747\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97 SSB \u5982\u4e0b\uff1a (5)(26.4-22.533) <sup>2<\/sup> +(5)(25.6-22.533) <sup>2<\/sup> + (5)(15.6-22.533) <sup>2<\/sup> = <strong>362.1<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa43\uff1a\u8ba1\u7b97SSS\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u4e3b\u9898\u5e73\u65b9\u548c\uff08SSS\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">SSS =(\u03a3r <sup>2<\/sup> <sub>k<\/sub> \/c) \u2013 (N <sup>2<\/sup> \/rc)<\/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>r <sup>2<\/sup><\/strong> <sub>k<\/sub> \uff1a<sup>\u7b2c k \u4e2a<\/sup>\u60a3\u8005\u7684\u5e73\u65b9\u548c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>N\uff1a<\/strong>\u6240\u6709\u6570\u636e\u7684\u603b\u8ba1<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>r\uff1a<\/strong>\u60a3\u8005\u603b\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>c:<\/strong>\u7ec4\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97 SSS \u5982\u4e0b\uff1a((74 <sup>2<\/sup> + 42 <sup>2<\/sup> + 62 <sup>2<\/sup> + 92 <sup>2<\/sup> + 68 <sup>2<\/sup> )\/3) \u2013 (338 <sup>2<\/sup> \/(5)(3)) = <strong>441.1<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u8ba1\u7b97 SES\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u8bef\u5dee\u5e73\u65b9\u548c\uff08SSE\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">SSE = SST \u2013 SSB \u2013 SSS<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97 SES \u5982\u4e0b\uff1a899.7 \u2013 362.1 \u2013 441.1 = <strong>96.5<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 5\uff1a\u5b8c\u6210\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u8868\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u6211\u4eec\u6709\u4e86 SSB\u3001SSS \u548c SSE\uff0c\u6211\u4eec\u53ef\u4ee5\u586b\u5145\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\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;\"><span style=\"color: #000000;\"><strong>\u5e73\u65b9\u548c (SS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>df<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u5747\u65b9 (MS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>F<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>\u4e4b\u95f4<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">362.1<\/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;\">181.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15.006<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>\u4e3b\u9898<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">441.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">110.3<\/span><\/td>\n<td><\/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;\">96.5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">12.1<\/span><\/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>df \u4e4b\u95f4\uff1a<\/strong> #groups \u2013 1 = 3 \u2013 1 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df \u4e3b\u9898\uff1a<\/strong> #participants \u2013 1 = 5 \u2013 1 = 4<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u9519\u8befdf\uff1a<\/strong> df\u4e4b\u95f4*df\u4e3b\u9898=2*4=8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS\u8f93\u5165\uff1a<\/strong> SSB\/df\u8f93\u5165=362.1\/2=181.1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u79d1\u76ee\uff1a<\/strong> SSS \u79d1\u76ee \/ df = 441.1 \/ 4 = 110.3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS\u8bef\u5dee\uff1a<\/strong> SSE\u8bef\u5dee\/df=96.5\/8=12.1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F\uff1a<\/strong> MS\u8f93\u5165\/MS\u8bef\u5dee=181.1\/12.1=15.006<\/span><\/li>\n<\/ul>\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;\">\u8fd9\u4e00\u5355\u5411\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u7684 F \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>15.006<\/strong> \u3002<\/span>\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 noreferrer\">F \u5206\u5e03\u8868<\/a><span style=\"color: #000000;\">\u4e2d\u7684\u4e34\u754c F \u503c\u8fdb\u884c\u6bd4\u8f83\uff0c<\/span><span style=\"color: #000000;\">\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 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF2\uff08\u5206\u6bcd\u81ea\u7531\u5ea6\uff09=\u8bef\u5deedf=8<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53d1\u73b0F\u7684\u4e34\u754c\u503c\u4e3a<strong>4.459<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8eANOVA\u8868\u4e2d\u7684F\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5927\u4e8eF\u5206\u5e03\u8868\u4e2d\u7684\u4e34\u754c\u503cF\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u836f\u7269\u7684\u5e73\u5747\u53cd\u5e94\u65f6\u95f4\u4e4b\u95f4\u5b58\u5728\u7edf\u8ba1\u5b66\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u6027\u5dee\u5f02\uff0c\u5176\u4e2d\u6bcf\u7ec4\u4e2d\u51fa\u73b0\u76f8\u540c\u7684\u53d7\u8bd5\u8005\u3002 \u672c\u6559\u7a0b\u4ecb 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