{"id":852,"date":"2023-07-28T12:58:50","date_gmt":"2023-07-28T12:58:50","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%8b%d0%b5-%d0%b8%d0%b7%d0%bc%d0%b5%d1%80%d0%b5%d0%bd%d0%b8%d1%8f-anova-python\/"},"modified":"2023-07-28T12:58:50","modified_gmt":"2023-07-28T12:58:50","slug":"%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%8b%d0%b5-%d0%b8%d0%b7%d0%bc%d0%b5%d1%80%d0%b5%d0%bd%d0%b8%d1%8f-anova-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%bf%d0%be%d0%b2%d1%82%d0%be%d1%80%d0%bd%d1%8b%d0%b5-%d0%b8%d0%b7%d0%bc%d0%b5%d1%80%d0%b5%d0%bd%d0%b8%d1%8f-anova-python\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f anova \u0432 python"},"content":{"rendered":"

<\/p>\n

\n

ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438<\/a> \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0442\u043e\u0433\u043e, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0437\u043d\u0430\u0447\u0438\u043c\u0430\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 \u0442\u0440\u0435\u0445 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u0433\u0440\u0443\u043f\u043f, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0434\u043d\u0438 \u0438 \u0442\u0435 \u0436\u0435 \u0441\u0443\u0431\u044a\u0435\u043a\u0442\u044b \u043f\u043e\u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0432 \u043a\u0430\u0436\u0434\u043e\u0439 \u0433\u0440\u0443\u043f\u043f\u0435.<\/span><\/p>\n

\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 \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 Python.<\/span><\/p>\n

\u041f\u0440\u0438\u043c\u0435\u0440. ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 Python<\/strong><\/span><\/h2>\n

\u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u0438 \u0445\u043e\u0442\u044f\u0442 \u0437\u043d\u0430\u0442\u044c, \u0432\u044b\u0437\u044b\u0432\u0430\u044e\u0442 \u043b\u0438 \u0447\u0435\u0442\u044b\u0440\u0435 \u0440\u0430\u0437\u043d\u044b\u0445 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0430 \u0440\u0430\u0437\u043d\u043e\u0435 \u0432\u0440\u0435\u043c\u044f \u0440\u0435\u0430\u043a\u0446\u0438\u0438. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u044d\u0442\u043e, \u043e\u043d\u0438 \u0438\u0437\u043c\u0435\u0440\u0438\u043b\u0438 \u0432\u0440\u0435\u043c\u044f \u0440\u0435\u0430\u043a\u0446\u0438\u0438 \u043f\u044f\u0442\u0438 \u043f\u0430\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u043d\u0430 \u0447\u0435\u0442\u044b\u0440\u0435 \u0440\u0430\u0437\u043d\u044b\u0445 \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0430.<\/span><\/p>\n

\u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0443 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043f\u0430\u0446\u0438\u0435\u043d\u0442\u0430 \u0438\u0437\u043c\u0435\u0440\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0438\u0435\u043c \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u043b\u0435\u043a\u0430\u0440\u0441\u0442\u0432, \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u0440\u0430\u0437\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043b\u0438 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0432\u0440\u0435\u043c\u044f \u0440\u0435\u0430\u043a\u0446\u0438\u0438 \u043c\u0435\u0436\u0434\u0443 \u043b\u0435\u043a\u0430\u0440\u0441\u0442\u0432\u0430\u043c\u0438.<\/span><\/p>\n

\u0418\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0448\u0430\u0433\u0438 \u0434\u043b\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u0439 ANOVA \u0432 Python.<\/span><\/p>\n

\u0428\u0430\u0433 1: \u0412\u0432\u0435\u0434\u0438\u0442\u0435 \u0434\u0430\u043d\u043d\u044b\u0435.<\/strong><\/span><\/p>\n

\u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0434\u0438\u043c DataFrame pandas \u0434\u043b\u044f \u0445\u0440\u0430\u043d\u0435\u043d\u0438\u044f \u043d\u0430\u0448\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445:<\/span><\/p>\n

 import<\/span> numpy as<\/span> np\nimport<\/span> pandas as<\/span> pd\n\n#createdata<\/span>\ndf = pd.DataFrame({'patient': np.repeat([1, 2, 3, 4, 5], 4),\n                   'drug': np.tile([1, 2, 3, 4], 5),\n                   'response': [30, 28, 16, 34,\n                                14, 18, 10, 22,\n                                24, 20, 18, 30,\n                                38, 34, 20, 44, \n                                26, 28, 14, 30]})\n\n#view first ten rows of data<\/span> \ndf.head[:10]\n\n\n\tpatient drug response\n0 1 1 30\n1 1 2 28\n2 1 3 16\n3 1 4 34\n4 2 1 14\n5 2 2 18\n6 2 3 10\n7 2 4 22\n8 3 1 24\n9 3 2 20<\/strong><\/pre>\n
 \u0428\u0430\u0433 2: \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f ANOVA.<\/strong><\/span><\/p>\n
 from<\/span> statsmodels.stats.anova import<\/span> AnovaRM\n<\/span>\n#perform the repeated measures ANOVA<\/span>\nprint(AnovaRM(data= df<\/span> , depvar=' response<\/span> ', subject=' patient<\/span> ', within=[' drug<\/span> ']).fit())\n\n              Anova\n====================================\n     F Value Num DF Den DF Pr > F\n----------------------------------\ndrug 24.7589 3.0000 12.0000 0.0000\n====================================\n<\/strong><\/pre>\n
 \u0428\u0430\u0433 3: \u0418\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u0443\u0439\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b.<\/strong><\/span><\/p>\n
 ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043d\u0443\u043b\u0435\u0432\u044b\u0435 \u0438 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u044b\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b:<\/span><\/p>\n
 \u041d\u0443\u043b\u0435\u0432\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 (H 0<\/sub> ):<\/strong> \u00b5 1<\/sub> = \u00b5 2<\/sub> = \u00b5 3<\/sub> (\u0432\u0441\u0435 \u0441\u0440\u0435\u0434\u043d\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u044b)<\/span><\/p>\n
 \u0410\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430: (\u0425\u0430):<\/strong> \u043f\u043e \u043a\u0440\u0430\u0439\u043d\u0435\u0439 \u043c\u0435\u0440\u0435 \u043e\u0434\u043d\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043e\u0441\u0442\u0430\u043b\u044c\u043d\u044b\u0445.<\/span><\/p>\n
 \u0412 \u044d\u0442\u043e\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 F-\u0442\u0435\u0441\u0442\u0430 \u0440\u0430\u0432\u043d\u0430 24,7589<\/strong> , \u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u2014 0,0000<\/strong> .<\/span><\/p>\n
 \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p<\/a> \u043c\u0435\u043d\u044c\u0448\u0435 0,05, \u043c\u044b \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0435\u043c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443 \u0438 \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u043c, \u0447\u0442\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0437\u043d\u0430\u0447\u0438\u043c\u0430\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u0432 \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043e\u0442\u0432\u0435\u0442\u0430 \u043c\u0435\u0436\u0434\u0443 \u0447\u0435\u0442\u044b\u0440\u044c\u043c\u044f \u043f\u0440\u0435\u043f\u0430\u0440\u0430\u0442\u0430\u043c\u0438.<\/span><\/p>\n
 \u0428\u0430\u0433 4: \u0421\u043e\u043e\u0431\u0449\u0438\u0442\u0435 \u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u0445.<\/strong><\/span><\/p>\n
 \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043c\u044b \u0441\u043e\u043e\u0431\u0449\u0438\u043c \u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430\u0445 \u043d\u0430\u0448\u0438\u0445 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u0439 ANOVA. \u0412\u043e\u0442 \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c:<\/span><\/p>\n
\n
 \u041e\u0434\u043d\u043e\u0444\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0431\u044b\u043b \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d \u0443 5 \u0447\u0435\u043b\u043e\u0432\u0435\u043a, \u0447\u0442\u043e\u0431\u044b \u0438\u0437\u0443\u0447\u0438\u0442\u044c \u0432\u043b\u0438\u044f\u043d\u0438\u0435 \u0447\u0435\u0442\u044b\u0440\u0435\u0445 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u043b\u0435\u043a\u0430\u0440\u0441\u0442\u0432 \u043d\u0430 \u0432\u0440\u0435\u043c\u044f \u043e\u0442\u0432\u0435\u0442\u0430.<\/span><\/p>\n
 \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043f\u043e\u043a\u0430\u0437\u0430\u043b\u0438, \u0447\u0442\u043e \u0442\u0438\u043f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u043e\u0433\u043e \u043b\u0435\u043a\u0430\u0440\u0441\u0442\u0432\u0430 \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u043b \u043a \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0437\u043d\u0430\u0447\u0438\u043c\u044b\u043c \u0440\u0430\u0437\u043b\u0438\u0447\u0438\u044f\u043c \u0432\u043e \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043e\u0442\u0432\u0435\u0442\u0430 (F(3, 12) = 24,75887, p <0,001).<\/span><\/p>\n<\/blockquote>\n
 \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
 \u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0430 \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044f \u043e ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438:<\/span><\/p>\n
 \u041e\u0434\u043d\u043e\u0444\u0430\u043a\u0442\u043e\u0440\u043d\u044b\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438: \u0440\u0430\u0437\u043d\u0438\u0446\u0430<\/a>
 \u041a\u0430\u043a \u0432\u0440\u0443\u0447\u043d\u0443\u044e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f ANOVA<\/a>
 \u0422\u0440\u0438 \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043e \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u0445 ANOVA<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0442\u043e\u0433\u043e, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0437\u043d\u0430\u0447\u0438\u043c\u0430\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 \u0442\u0440\u0435\u0445 \u0438\u043b\u0438 \u0431\u043e\u043b\u0435\u0435 \u0433\u0440\u0443\u043f\u043f, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u043e\u0434\u043d\u0438 \u0438 \u0442\u0435 \u0436\u0435 \u0441\u0443\u0431\u044a\u0435\u043a\u0442\u044b \u043f\u043e\u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u0432 \u043a\u0430\u0436\u0434\u043e\u0439 \u0433\u0440\u0443\u043f\u043f\u0435. \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 \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0439 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 Python. \u041f\u0440\u0438\u043c\u0435\u0440. ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u044f\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 Python \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u0438 \u0445\u043e\u0442\u044f\u0442 \u0437\u043d\u0430\u0442\u044c, […]<\/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-852","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"\n\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f ANOVA \u0432 Python \u2014 Statorials<\/title>\n<meta name=\"description\" content=\"\u041f\u0440\u043e\u0441\u0442\u043e\u0435 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\u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f ANOVA \u0432 Python \u2014 Statorials\" \/>\n<meta property=\"og:description\" content=\"\u041f\u0440\u043e\u0441\u0442\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0438 \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c ANOVA \u0441 \u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u043c\u0438 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u043c\u0438 \u0432 Python.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ru\/\u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435-\u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f-anova-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T12:58:50+00:00\" \/>\n<meta name=\"author\" content=\"\u0431\u0435\u043d\u0434\u0436\u0430\u043c\u0438\u043d \u0430\u043d\u0434\u0435\u0440\u0441\u043e\u043d\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0431\u0435\u043d\u0434\u0436\u0430\u043c\u0438\u043d \u0430\u043d\u0434\u0435\u0440\u0441\u043e\u043d\" \/>\n<script type=\"application\/ld+json\" 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