{"id":523,"date":"2023-07-29T15:03:25","date_gmt":"2023-07-29T15:03:25","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-f-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd\/"},"modified":"2023-07-29T15:03:25","modified_gmt":"2023-07-29T15:03:25","slug":"%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-f-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b4%d0%be%d0%b2%d0%b5%d1%80%d0%b8%d1%82%d0%b5%d0%bb%d1%8c%d0%bd%d1%8b%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%b2%d0%b0%d0%bb-f-%d1%80%d0%b0%d1%81%d0%bf%d1%80%d0%b5%d0%b4%d0%b5%d0%bb%d0%b5%d0%bd\/","title":{"rendered":"\u041a\u0430\u043a \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0427\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0440\u0430\u0432\u043d\u044b \u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0434\u0432\u0443\u0445 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 <strong>\u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub><\/strong> , \u0433\u0434\u0435 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \u2014 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 1, \u0430 \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2014 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 2.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0427\u0442\u043e\u0431\u044b \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0438\u0441\u0442\u0438\u043d\u043d\u044b\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438, \u043c\u044b \u043e\u0431\u044b\u0447\u043d\u043e \u0431\u0435\u0440\u0435\u043c \u043f\u0440\u043e\u0441\u0442\u0443\u044e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u0432\u044b\u0431\u043e\u0440\u043a\u0443 \u0438\u0437 \u043a\u0430\u0436\u0434\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438, <strong>s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup><\/strong> , \u0433\u0434\u0435 s <sub>1<\/sub> <sup>2<\/sup> \u0438 s <sub>2<\/sub> <sup>2<\/sup> \u2014 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0434\u043b\u044f \u0432\u044b\u0431\u043e\u0440\u043a\u0438 1 \u0438 \u0432\u044b\u0431\u043e\u0440\u043a\u0438. . 2 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u042d\u0442\u043e\u0442 \u0442\u0435\u0441\u0442 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u0442, \u0447\u0442\u043e s <sub>1<\/sub> <sup>2<\/sup> \u0438 s <sub>2<\/sub> <sup>2<\/sup> \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a \u0440\u0430\u0437\u043c\u0435\u0440\u043e\u043c n <sub>1<\/sub> \u0438 n <sub>2<\/sub> , \u043a\u0430\u043a \u0438\u0437 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0427\u0435\u043c \u0434\u0430\u043b\u044c\u0448\u0435 \u044d\u0442\u043e \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u0435 \u043e\u0442 \u0435\u0434\u0438\u043d\u0438\u0446\u044b, \u0442\u0435\u043c \u0441\u0438\u043b\u044c\u043d\u0435\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0430 \u043d\u0435\u0440\u0430\u0432\u043d\u044b\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439 \u0432\u043d\u0443\u0442\u0440\u0438 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1-\u03b1)100% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b<\/strong> \u0434\u043b\u044f \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u043a\u0430\u043a:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n <sub>1<\/sub> -1, n <sub>2<\/sub> -1, \u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n <sub>2<\/sub> -1, n <sub>1<\/sub> -1,<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0433\u0434\u0435 F <sub>n <sub>2<\/sub> -1, n <sub>1<\/sub> -1, \u03b1\/2<\/sub> \u0438 F <sub>n <sub>1<\/sub> -1, n <sub>2<\/sub> -1,<\/sub> <sub>\u03b1\/2<\/sub> <sub>&nbsp;<\/sub> \u2013 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f F \u0434\u043b\u044f \u0432\u044b\u0431\u0440\u0430\u043d\u043d\u043e\u0433\u043e \u0443\u0440\u043e\u0432\u043d\u044f \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438 \u03b1.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438\u043b\u043b\u044e\u0441\u0442\u0440\u0438\u0440\u0443\u044e\u0442, \u043a\u0430\u043a \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0440\u0435\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u043c\u0435\u0442\u043e\u0434\u043e\u0432:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0417\u0430 \u0440\u0443\u043a\u0443<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435 Microsoft Excel<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u043d\u043e\u0433\u043e \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0435\u043d\u0438\u044f <em>R<\/em><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0414\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03b1<\/strong> = 0,05<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u043f <sub>1<\/sub><\/strong> = 16<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>\u043f2<\/sub><\/strong> = 11<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0441 <sub>1<\/sub> <sup>2<\/sup><\/strong> =28,2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0441 <sub>2<\/sub> <sup>2<\/sup><\/strong> = 19,3<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>\u0421\u043e\u0437\u0434\u0430\u043d\u0438\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0432\u0440\u0443\u0447\u043d\u0443\u044e<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0427\u0442\u043e\u0431\u044b \u0432\u0440\u0443\u0447\u043d\u0443\u044e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f <strong>\u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub><\/strong> , \u043c\u044b \u043f\u0440\u043e\u0441\u0442\u043e \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u0438\u043c\u0435\u044e\u0449\u0438\u0435\u0441\u044f \u0443 \u043d\u0430\u0441 \u0447\u0438\u0441\u043b\u0430 \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n1-1, n2-1,\u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n2-1, n1-1,<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0415\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043d\u0430\u043c \u043d\u0435 \u0445\u0432\u0430\u0442\u0430\u0435\u0442, \u2014 \u044d\u0442\u043e \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/span> <span style=\"color: #000000;\">\u041a \u0441\u0447\u0430\u0441\u0442\u044c\u044e, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043d\u0430\u0439\u0442\u0438 \u044d\u0442\u0438 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 <a href=\"https:\/\/statorials.org\/ru\/f-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0441\u0442\u043e\u043b\/\" target=\"_blank\" rel=\"noopener\">\u0442\u0430\u0431\u043b\u0438\u0446\u0435 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f F<\/a> :<\/span><\/p>\n<p> <span style=\"color: #000000;\">F <sub>n2-1, n1-1, \u03b1\/2<\/sub> = F <sub>10, 15, 0,025<\/sub> = <strong>3,0602<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">F <sub>n1-1, n2-1,<\/sub> <sub>\u03b1\/2<\/sub> = 1\/ F <sub>15, 10, 0,025<\/sub> = 1\/3,5217 = <strong>0,2839<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>(\u041d\u0430\u0436\u043c\u0438\u0442\u0435, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0435\u043b\u0438\u0447\u0438\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443)<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-489 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f2.5.png\" alt=\"\u0422\u0430\u0431\u043b\u0438\u0446\u0430 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f F \u0434\u043b\u044f \u0430\u043b\u044c\u0444\u0430 = 0,025.\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0422\u0435\u043f\u0435\u0440\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430 \u0432 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u044b:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n1-1, n2-1,\u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n2-1, n1-1,<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(28,2\/19,3) * (0,2839) \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (28,2 \/ 19,3) * (3,0602)<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">0,4148 \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 4,4714<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439 \u0440\u0430\u0432\u0435\u043d <strong>(0,4148, 4,4714)<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0421\u043e\u0437\u0434\u0430\u043d\u0438\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e Excel<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u041d\u0430 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u0432 Excel. \u041d\u0438\u0436\u043d\u0438\u0439 \u0438 \u0432\u0435\u0440\u0445\u043d\u0438\u0439 \u043f\u0440\u0435\u0434\u0435\u043b\u044b \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u044b \u0432 \u0441\u0442\u043e\u043b\u0431\u0446\u0435 E, \u0430 \u0444\u043e\u0440\u043c\u0443\u043b\u0430, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0430\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043d\u0438\u0436\u043d\u0435\u0433\u043e \u0438 \u0432\u0435\u0440\u0445\u043d\u0435\u0433\u043e \u043f\u0440\u0435\u0434\u0435\u043b\u043e\u0432, \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u0430 \u0432 \u0441\u0442\u043e\u043b\u0431\u0446\u0435 F:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439 \u0440\u0430\u0432\u0435\u043d <strong>(0,4148, 4,4714)<\/strong> . \u042d\u0442\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u043c\u0443, \u0447\u0442\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438, \u043a\u043e\u0433\u0434\u0430 \u0432\u0440\u0443\u0447\u043d\u0443\u044e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043b\u0438 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0421\u043e\u0437\u0434\u0430\u043d\u0438\u0435 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e R<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439 \u0432 R:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define significance level, sample sizes, and sample variances\n<\/span>alpha &lt;- .05\nn1 &lt;- 16\nn2 &lt;- 11\nvar1 &lt;- 28.2\nvar2 &lt;- 19.3\n\n<span style=\"color: #008080;\">#define F critical values\n<\/span>upper_crit &lt;- 1\/qf(alpha\/2, n1-1, n2-1)\nlower_crit &lt;- qf(alpha\/2, n2-1, n1-1)\n\n<span style=\"color: #008080;\">#find confidence interval\n<\/span>lower_bound &lt;- (var1\/var2) * lower_crit\nupper_bound &lt;- (var1\/var2) * upper_crit\n\n<span style=\"color: #008080;\">#output confidence interval\n<\/span>paste0(\"(\", lower_bound, \", \", upper_bound, \" )\")\n\n#[1] \"(0.414899337980266, 4.47137571035219 )\"\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, 95% \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0434\u043b\u044f \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439 \u0440\u0430\u0432\u0435\u043d <strong>(0,4148, 4,4714)<\/strong> . \u042d\u0442\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u043c\u0443, \u0447\u0442\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438, \u043a\u043e\u0433\u0434\u0430 \u0432\u0440\u0443\u0447\u043d\u0443\u044e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043b\u0438 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0435\u0441\u0443\u0440\u0441\u044b<\/strong><\/span><\/h2>\n<p> <strong><a href=\"https:\/\/statorials.org\/ru\/\u043a\u0430\u043a-\u0447\u0438\u0442\u0430\u0442\u044c-\u0442\u0430\u0431\u043b\u0438\u0446\u0443-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f-f\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0447\u0438\u0442\u0430\u0442\u044c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u043f\u043b\u0430\u0442\u0443 F<\/a><br \/> \u041a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 F \u0432 Excel<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0427\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0440\u0430\u0432\u043d\u044b \u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0434\u0432\u0443\u0445 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u03c3 2 1 \/ \u03c3 2 2 , \u0433\u0434\u0435 \u03c3 2 1 \u2014 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 1, \u0430 \u03c3 2 2 \u2014 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 2. \u0427\u0442\u043e\u0431\u044b \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0438\u0441\u0442\u0438\u043d\u043d\u044b\u0439 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438, \u043c\u044b \u043e\u0431\u044b\u0447\u043d\u043e \u0431\u0435\u0440\u0435\u043c \u043f\u0440\u043e\u0441\u0442\u0443\u044e \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u0443\u044e \u0432\u044b\u0431\u043e\u0440\u043a\u0443 \u0438\u0437 \u043a\u0430\u0436\u0434\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 [&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-523","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>\u041a\u0430\u043a \u0441\u043e\u0437\u0434\u0430\u0442\u044c \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f F<\/title>\n<meta name=\"description\" content=\"\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 F \u0434\u043b\u044f \u0441\u043e\u0437\u0434\u0430\u043d\u0438\u044f \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430 \u0434\u043b\u044f \u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0439.\" \/>\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\/ru\/\u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0438-\u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b-f-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta 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