{"id":771,"date":"2023-07-28T19:28:17","date_gmt":"2023-07-28T19:28:17","guid":{"rendered":"https:\/\/statorials.org\/uk\/anova-%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%96-%d0%b2%d0%b8%d0%bc%d1%96%d1%80%d1%8e%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d0%b2%d1%80%d1%83%d1%87%d0%bd%d1%83\/"},"modified":"2023-07-28T19:28:17","modified_gmt":"2023-07-28T19:28:17","slug":"anova-%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%96-%d0%b2%d0%b8%d0%bc%d1%96%d1%80%d1%8e%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d0%b2%d1%80%d1%83%d1%87%d0%bd%d1%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/anova-%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%96-%d0%b2%d0%b8%d0%bc%d1%96%d1%80%d1%8e%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d0%b2%d1%80%d1%83%d1%87%d0%bd%d1%83\/","title":{"rendered":"\u042f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 anova"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/uk\/\u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0456-\u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f-anova\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>\u0414\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0439\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0456\u0437 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u043c\u0438 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f\u043c\u0438<\/strong><\/a> \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u0447\u0438 \u0456\u0441\u043d\u0443\u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438 \u0442\u0440\u044c\u043e\u0445 \u0430\u0431\u043e \u0431\u0456\u043b\u044c\u0448\u0435 \u0433\u0440\u0443\u043f, \u0443 \u043a\u043e\u0436\u043d\u0456\u0439 \u0437 \u044f\u043a\u0438\u0445 \u0454 \u0442\u0456 \u0441\u0430\u043c\u0456 \u0441\u0443\u0431\u2019\u0454\u043a\u0442\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a\u0443 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u044f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 ANOVA.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA \u0432\u0440\u0443\u0447\u043d\u0443<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u043e\u0441\u043b\u0456\u0434\u043d\u0438\u043a\u0438 \u0445\u043e\u0447\u0443\u0442\u044c \u0437\u043d\u0430\u0442\u0438, \u0447\u0438 \u0432\u0438\u043a\u043b\u0438\u043a\u0430\u044e\u0442\u044c \u0442\u0440\u0438 \u0440\u0456\u0437\u043d\u0456 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0438 \u0440\u0456\u0437\u043d\u0438\u0439 \u0447\u0430\u0441 \u0440\u0435\u0430\u043a\u0446\u0456\u0457. \u0429\u043e\u0431 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u0438\u0442\u0438 \u0446\u0435, \u0432\u043e\u043d\u0438 \u0432\u0438\u043c\u0456\u0440\u044e\u044e\u0442\u044c \u0447\u0430\u0441 \u0440\u0435\u0430\u043a\u0446\u0456\u0457 (\u0443 \u0441\u0435\u043a\u0443\u043d\u0434\u0430\u0445) \u043f\u2019\u044f\u0442\u0438 \u043f\u0430\u0446\u0456\u0454\u043d\u0442\u0456\u0432 \u043d\u0430 \u043a\u043e\u0436\u0435\u043d \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442. \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438 \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u0456 \u043d\u0438\u0436\u0447\u0435:<\/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=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u043a\u043e\u0436\u0435\u043d \u043f\u0430\u0446\u0456\u0454\u043d\u0442 \u0432\u0438\u043c\u0456\u0440\u044e\u0454\u0442\u044c\u0441\u044f \u043d\u0430 \u043a\u043e\u0436\u043d\u043e\u043c\u0443 \u0437 \u0442\u0440\u044c\u043e\u0445 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0456\u0432, \u043c\u0438 \u0431\u0443\u0434\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 ANOVA, \u0449\u043e\u0431 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0447\u0438 \u0432\u0456\u0434\u0440\u0456\u0437\u043d\u044f\u0454\u0442\u044c\u0441\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0439 \u0447\u0430\u0441 \u0440\u0435\u0430\u043a\u0446\u0456\u0457 \u043c\u0456\u0436 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0430\u043c\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u0438\u043a\u043e\u043d\u0430\u0439\u0442\u0435 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0456 \u043a\u0440\u043e\u043a\u0438, \u0449\u043e\u0431 \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0456 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 1: \u043e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c SST.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043c\u043e \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0443 \u0441\u0443\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0456\u0432 (SST), \u044f\u043a\u0443 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438 \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/span><\/p>\n<p> <span style=\"color: #000000;\">SST = s <sup>2<\/sup> <sub>\u0432\u0441\u044c\u043e\u0433\u043e<\/sub> (n <sub>\u0432\u0441\u044c\u043e\u0433\u043e<\/sub> -1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup> <sub>total<\/sub><\/strong> : \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0434\u043b\u044f \u043d\u0430\u0431\u043e\u0440\u0443 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>total<\/sub><\/strong> : \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0430 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u044c \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e SST \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c: (64,2667)(15-1) = <strong>899,7<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 2: \u041e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c SSB<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0456 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043c\u043e \u0441\u0443\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0456\u0432 (SSB), \u044f\u043a\u0443 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438 \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/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>\u0432\u0441\u044c\u043e\u0433\u043e<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u0433\u0440\u0435\u0446\u044c\u043a\u0438\u0439 \u0441\u0438\u043c\u0432\u043e\u043b, \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 \u00ab\u0441\u0443\u043c\u0430\u00bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>j<\/sub><\/strong> : \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0430 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u044c \u0443 j- <sup>\u0439<\/sup> \u0433\u0440\u0443\u043f\u0456<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>j<\/sub><\/strong> : \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f <sup>j-\u0457<\/sup> \u0433\u0440\u0443\u043f\u0438<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>total<\/sub><\/strong> : \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0441\u0456\u0445 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e SSB \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c: (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>\u041a\u0440\u043e\u043a 3: \u043e\u0431\u0447\u0438\u0441\u043b\u0456\u0442\u044c SSS.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0456 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043c\u043e \u043f\u0440\u0435\u0434\u043c\u0435\u0442\u043d\u0443 \u0441\u0443\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0456\u0432 (SSS), \u044f\u043a\u0443 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438 \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/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;\">\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u0433\u0440\u0435\u0446\u044c\u043a\u0438\u0439 \u0441\u0438\u043c\u0432\u043e\u043b, \u0449\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0454 \u00ab\u0441\u0443\u043c\u0430\u00bb<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r <sup>2<\/sup><\/strong> <sub>k<\/sub> : \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0441\u0443\u043c\u0438 <sup>k-\u0433\u043e<\/sup> \u043f\u0430\u0446\u0456\u0454\u043d\u0442\u0430<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0430 \u0441\u0443\u043c\u0430 \u0432\u0441\u0456\u0445 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r:<\/strong> \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0430 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u043f\u0430\u0446\u0456\u0454\u043d\u0442\u0456\u0432<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>c:<\/strong> \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0430 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u0433\u0440\u0443\u043f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e SSS \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c: ((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>\u041a\u0440\u043e\u043a 4: \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u0442\u0438 SES.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0456 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043c\u043e \u0441\u0443\u043c\u0443 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0456\u0432 \u043f\u043e\u0445\u0438\u0431\u043e\u043a (SSE), \u044f\u043a\u0443 \u043c\u043e\u0436\u043d\u0430 \u0437\u043d\u0430\u0439\u0442\u0438 \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u044e:<\/span><\/p>\n<p> <span style=\"color: #000000;\">SSE = SST \u2013 SSB \u2013 SSS<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043c\u0438 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454\u043c\u043e SES \u0442\u0430\u043a: 899,7 \u2013 362,1 \u2013 441,1 = <strong>96,5<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 5: \u0417\u0430\u043f\u043e\u0432\u043d\u0456\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u044e ANOVA \u0434\u043b\u044f \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0445 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u044c.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0422\u0435\u043f\u0435\u0440, \u043a\u043e\u043b\u0438 \u0443 \u043d\u0430\u0441 \u0454 SSB, SSS \u0456 SSE, \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0437\u0430\u043f\u043e\u0432\u043d\u0438\u0442\u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u044e \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0445 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u044c ANOVA:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0414\u0436\u0435\u0440\u0435\u043b\u043e<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0421\u0443\u043c\u0430 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0456\u0432 (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>\u0421\u0435\u0440\u0435\u0434\u043d\u0456 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438 (MS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0424<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u041c\u0456\u0436<\/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>\u0422\u0435\u043c\u0430<\/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>\u041f\u043e\u043c\u0438\u043b\u043a\u0430<\/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;\">\u041e\u0441\u044c \u044f\u043a \u043c\u0438 \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u0432\u0430\u043b\u0438 \u0440\u0456\u0437\u043d\u0456 \u0447\u0438\u0441\u043b\u0430 \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0456:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>df \u043c\u0456\u0436:<\/strong> #groups \u2013 1 = 3 \u2013 1 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0422\u0435\u043c\u0430 df:<\/strong> #\u0443\u0447\u0430\u0441\u043d\u0438\u043a\u0438 \u2013 1 = 5 \u2013 1 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u041f\u043e\u043c\u0438\u043b\u043a\u0430 df:<\/strong> df \u043c\u0456\u0436 * df \u0442\u0435\u043c\u0430 = 2*4 = 8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u0432\u0445\u043e\u0434\u0438\u0442\u044c:<\/strong> SSB \/ df \u0432\u0445\u043e\u0434\u0438\u0442\u044c = 362,1 \/ 2 = 181,1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u0441\u0443\u0431&#8217;\u0454\u043a\u0442:<\/strong> SSS \u0441\u0443\u0431&#8217;\u0454\u043a\u0442 \/ df = 441,1 \/ 4 = 110,3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u041f\u043e\u043c\u0438\u043b\u043a\u0430 MS:<\/strong> \u043f\u043e\u043c\u0438\u043b\u043a\u0430 SSE \/ df = 96,5 \/ 8 = 12,1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F:<\/strong> MS \u0432\u0445\u043e\u0434\u0438\u0442\u044c \/ MS error = 181,1 \/ 12,1 = 15,006<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u041a\u0440\u043e\u043a 6: \u0406\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0456\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456\u0432.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 F-\u0442\u0435\u0441\u0442\u0443 \u0434\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044c\u043e\u0433\u043e \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c <strong>15,006<\/strong> . \u0429\u043e\u0431 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0447\u0438 \u0454 \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0438\u043c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c, \u043d\u0430\u043c \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u043f\u043e\u0440\u0456\u0432\u043d\u044f\u0442\u0438 \u0439\u043e\u0433\u043e \u0437 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c F, \u0437\u043d\u0430\u0439\u0434\u0435\u043d\u0438\u043c \u0443 \u0442\u0430\u0431\u043b\u0438\u0446\u0456<\/span> <a href=\"https:\/\/statorials.org\/uk\/f-\u0442\u0430\u0431\u043b\u0438\u0446\u044f-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 F<\/a> <span style=\"color: #000000;\">\u0456\u0437 \u0442\u0430\u043a\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b1 (\u0440\u0456\u0432\u0435\u043d\u044c \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456) = 0,05<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF1 (\u0441\u0442\u0443\u043f\u0435\u043d\u0456 \u0441\u0432\u043e\u0431\u043e\u0434\u0438 \u0447\u0438\u0441\u0435\u043b\u044c\u043d\u0438\u043a\u0430) = df \u043c\u0456\u0436 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF2 (\u0441\u0442\u0443\u043f\u0435\u043d\u0456 \u0441\u0432\u043e\u0431\u043e\u0434\u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u043d\u0438\u043a\u0430) = \u043f\u043e\u043c\u0438\u043b\u043a\u0430 df = 8<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u041c\u0438 \u0437\u043d\u0430\u0445\u043e\u0434\u0438\u043c\u043e, \u0449\u043e \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f F \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c <strong>4,459<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 F \u0442\u0435\u0441\u0442\u043e\u0432\u0430 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 ANOVA \u0431\u0456\u043b\u044c\u0448\u0430 \u0437\u0430 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f F \u0443 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 F \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, \u043c\u0438 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u043c\u043e \u043d\u0443\u043b\u044c\u043e\u0432\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0443. \u0426\u0435 \u043e\u0437\u043d\u0430\u0447\u0430\u0454, \u0449\u043e \u043c\u0438 \u043c\u0430\u0454\u043c\u043e \u0434\u043e\u0441\u0442\u0430\u0442\u043d\u044c\u043e \u0434\u043e\u043a\u0430\u0437\u0456\u0432, \u0449\u043e\u0431 \u0441\u0442\u0432\u0435\u0440\u0434\u0436\u0443\u0432\u0430\u0442\u0438, \u0449\u043e \u0456\u0441\u043d\u0443\u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0447\u0430\u0441\u043e\u043c \u0440\u0435\u0430\u043a\u0446\u0456\u0457 \u043d\u0430 \u043b\u0456\u043a\u0438.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0439\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0456\u0437 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u043c\u0438 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f\u043c\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u0447\u0438 \u0456\u0441\u043d\u0443\u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438 \u0442\u0440\u044c\u043e\u0445 \u0430\u0431\u043e \u0431\u0456\u043b\u044c\u0448\u0435 \u0433\u0440\u0443\u043f, \u0443 \u043a\u043e\u0436\u043d\u0456\u0439 \u0437 \u044f\u043a\u0438\u0445 \u0454 \u0442\u0456 \u0441\u0430\u043c\u0456 \u0441\u0443\u0431\u2019\u0454\u043a\u0442\u0438. \u0423 \u0446\u044c\u043e\u043c\u0443 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a\u0443 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u044f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 ANOVA. \u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA \u0432\u0440\u0443\u0447\u043d\u0443 \u0414\u043e\u0441\u043b\u0456\u0434\u043d\u0438\u043a\u0438 \u0445\u043e\u0447\u0443\u0442\u044c \u0437\u043d\u0430\u0442\u0438, \u0447\u0438 \u0432\u0438\u043a\u043b\u0438\u043a\u0430\u044e\u0442\u044c \u0442\u0440\u0438 \u0440\u0456\u0437\u043d\u0456 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0438 \u0440\u0456\u0437\u043d\u0438\u0439 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u042f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0456 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA \u2013 \u0421\u0442\u0430\u0442\u043e\u043b\u043e\u0433\u0456\u044f<\/title>\n<meta name=\"description\" content=\"\u041f\u0440\u043e\u0441\u0442\u0435 \u043f\u043e\u044f\u0441\u043d\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u044f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 ANOVA.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/uk\/anova-\u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0456-\u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f-\u0432\u0440\u0443\u0447\u043d\u0443\/\" \/>\n<meta property=\"og:locale\" content=\"uk_UA\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u042f\u043a \u0432\u0440\u0443\u0447\u043d\u0443 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u0456 \u0432\u0438\u043c\u0456\u0440\u044e\u0432\u0430\u043d\u043d\u044f ANOVA \u2013 \u0421\u0442\u0430\u0442\u043e\u043b\u043e\u0433\u0456\u044f\" \/>\n<meta property=\"og:description\" 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