{"id":3449,"date":"2023-07-17T10:17:33","date_gmt":"2023-07-17T10:17:33","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%b0%d0%be%d0%b2-%d0%bf%d1%80%d0%be%d1%82%d0%b8%d0%b2-%d0%b0%d0%bd%d0%be%d0%b2%d0%b0-%d0%b2-%d0%b3\/"},"modified":"2023-07-17T10:17:33","modified_gmt":"2023-07-17T10:17:33","slug":"%d0%b0%d0%be%d0%b2-%d0%bf%d1%80%d0%be%d1%82%d0%b8%d0%b2-%d0%b0%d0%bd%d0%be%d0%b2%d0%b0-%d0%b2-%d0%b3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%b0%d0%be%d0%b2-%d0%bf%d1%80%d0%be%d1%82%d0%b8%d0%b2-%d0%b0%d0%bd%d0%be%d0%b2%d0%b0-%d0%b2-%d0%b3\/","title":{"rendered":"\u041a\u043e\u0433\u0434\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c aov() \u0432\u043c\u0435\u0441\u0442\u043e anova() \u0432 r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0424\u0443\u043d\u043a\u0446\u0438\u0438 <strong>aov()<\/strong> \u0438 <strong>anova()<\/strong> \u0432 R \u043a\u0430\u0436\u0443\u0442\u0441\u044f \u043f\u043e\u0445\u043e\u0436\u0438\u043c\u0438, \u043d\u043e \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0438\u0445 \u0432 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0441\u0446\u0435\u043d\u0430\u0440\u0438\u044f\u0445.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c <strong>aov()<\/strong> , \u043a\u043e\u0433\u0434\u0430 \u0445\u043e\u0442\u0438\u043c \u043f\u043e\u0434\u043e\u0433\u043d\u0430\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c ANOVA \u0438 \u043e\u0442\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0432 \u0441\u0432\u043e\u0434\u043d\u043e\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435 ANOVA.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c <strong>anova()<\/strong> , \u043a\u043e\u0433\u0434\u0430 \u0445\u043e\u0442\u0438\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0442\u044c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u0432\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u0435\u0442 \u043b\u0438 \u043c\u043e\u0434\u0435\u043b\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u043c \u043d\u0430\u0431\u043e\u0440\u043e\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0437\u043d\u0430\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0443\u0447\u0448\u0435\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435, \u0447\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0441 \u043f\u043e\u0434\u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e\u043c \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0442, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0440 1. \u041a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c aov() \u0432 R<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0414\u043e\u043f\u0443\u0441\u0442\u0438\u043c, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c <a href=\"https:\/\/statorials.org\/ru\/\u0432-\u043e\u0434\u043d\u0443-\u0441\u0442\u043e\u0440\u043e\u043d\u0443-\u0430\u043d\u043e\u0432\u0430\/\" target=\"_blank\" rel=\"noopener\">\u043e\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<\/a> , \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u043b\u0438 \u0442\u0440\u0438 \u0440\u0430\u0437\u043d\u044b\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u043e\u0435 \u0432\u043b\u0438\u044f\u043d\u0438\u0435 \u043d\u0430 \u043f\u043e\u0442\u0435\u0440\u044e \u0432\u0435\u0441\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u043d\u0430\u0431\u0438\u0440\u0430\u0435\u043c 90 \u0447\u0435\u043b\u043e\u0432\u0435\u043a \u0434\u043b\u044f \u0443\u0447\u0430\u0441\u0442\u0438\u044f \u0432 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0435, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u043d\u0430\u0437\u043d\u0430\u0447\u0430\u0435\u043c 30 \u0447\u0435\u043b\u043e\u0432\u0435\u043a \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u044c \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0435 \u0410, \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0435 \u0411 \u0438\u043b\u0438 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0435 \u0421 \u0432 \u0442\u0435\u0447\u0435\u043d\u0438\u0435 \u043c\u0435\u0441\u044f\u0446\u0430.<\/span><\/p>\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 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>aov()<\/strong> \u0432 R \u0434\u043b\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0433\u043e \u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0433\u043e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u0430\u043d\u0430\u043b\u0438\u0437\u0430:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each= <span style=\"color: #008000;\">30<\/span> ),\n                 weight_loss = c(runif(30, 0, 3),\n                                 runif(30, 0, 5),\n                                 runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#fit one-way anova using aov()\n<\/span>fit &lt;- aov(weight_loss ~ program, data=df)\n\n<span style=\"color: #008080;\">#view results\n<\/span>summary(fit)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \nprogram 2 98.93 49.46 30.83 7.55e-11 ***\nResiduals 87 139.57 1.60                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0418\u0437 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 \u043c\u043e\u0434\u0435\u043b\u0438 \u043c\u044b \u0432\u0438\u0434\u0438\u043c, \u0447\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u044b (0,0000000000755) \u043c\u0435\u043d\u044c\u0448\u0435 0,05, \u0447\u0442\u043e \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \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\u0439 \u043f\u043e\u0442\u0435\u0440\u0435 \u0432\u0435\u0441\u0430 \u043c\u0435\u0436\u0434\u0443 \u0442\u0440\u0435\u043c\u044f \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0430\u043c\u0438.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u041f\u0440\u0438\u043c\u0435\u0440 2. \u041a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c anova() \u0432 R<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0438\u043c, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c <strong>\u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u043e \u0438\u0437\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u0447\u0430\u0441\u043e\u0432<\/strong> \u0434\u043b\u044f \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f <strong>\u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432<\/strong> \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u043e\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0433\u043e \u043a\u043e\u043b\u043b\u0435\u0434\u0436\u0430. \u041c\u044b \u043c\u043e\u0436\u0435\u043c \u0440\u0435\u0448\u0438\u0442\u044c \u0430\u0434\u0430\u043f\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0434\u0432\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0435 \u043c\u043e\u0434\u0435\u043b\u0438:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u041f\u043e\u043b\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c:<\/strong> \u043e\u0446\u0435\u043d\u043a\u0430 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> (\u0447\u0430\u0441\u044b) + B <sub>2<\/sub> (\u0447\u0430\u0441\u044b) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0421\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c:<\/strong> \u043e\u0446\u0435\u043d\u043a\u0430 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> (\u0447\u0430\u0441\u044b)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c \u043a\u043e\u0434\u0435 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u043a\u0430\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e <strong>anova()<\/strong> \u0432 R \u0434\u043b\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u043e\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u044f, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u0435\u0442 \u043b\u0438 \u043f\u043e\u043b\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c \u0437\u043d\u0430\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0443\u0447\u0448\u0435\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435, \u0447\u0435\u043c \u0443\u043c\u0435\u043d\u044c\u0448\u0435\u043d\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df &lt;- data.frame(hours = runif(50, 5, 15), score=50)\ndf$score = df$score + df$hours^3\/150 + df$hours*runif(50, 1, 2)\n\n<span style=\"color: #008080;\">#view head of data\n<\/span>head(df)\n\n      hours score\n1 7.655087 64.30191\n2 8.721239 70.65430\n3 10.728534 73.66114\n4 14.082078 86.14630\n5 7.016819 59.81595\n6 13.983897 83.60510\n\n<span style=\"color: #008080;\">#fit full model\n<\/span>full &lt;- lm(score ~ poly(hours,2), data=df)\n\n<span style=\"color: #008080;\">#fit reduced model\n<\/span>reduced &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#perform lack of fit test using anova()\n<\/span>anova(full, reduced)\n\nAnalysis of Variance Table\n\nModel 1: score ~ poly(hours, 2)\nModel 2: score ~ hours\n  Res.Df RSS Df Sum of Sq F Pr(&gt;F)   \n1 47 368.48                                \n2 48 451.22 -1 -82.744 10.554 0.002144 **\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u0432 \u0432\u044b\u0445\u043e\u0434\u043d\u043e\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435 (0,002144) \u043c\u0435\u043d\u044c\u0448\u0435 0,05, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043e\u0442\u043a\u043b\u043e\u043d\u0438\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443 \u0442\u0435\u0441\u0442\u0430 \u0438 \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u043f\u043e\u043b\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0437\u043d\u0430\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0443\u0447\u0448\u0435 \u043f\u043e\u0434\u0445\u043e\u0434\u0438\u0442, \u0447\u0435\u043c \u0441\u043e\u043a\u0440\u0430\u0449\u0435\u043d\u043d\u0430\u044f \u043c\u043e\u0434\u0435\u043b\u044c.<\/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> <span style=\"color: #000000;\">\u0412 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0445 \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0430\u0445 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0434\u0440\u0443\u0433\u0438\u0435 \u0440\u0430\u0441\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0432 R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ru\/\u0432-\u043e\u0434\u043d\u0443-\u0441\u0442\u043e\u0440\u043e\u043d\u0443-\u0430\u043d\u043e\u0432\u0430-\u0440\/\" target=\"_blank\" rel=\"noopener\">\u041a\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 \u0432 R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u0430\u043d\u043e\u0432\u0430-\u0440\u0430,-\u0434\u0432\u0443\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0438\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0434\u0432\u0443\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 \u0432 R<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u043e\u0432\u0442\u043e\u0440\u043d\u044b\u0435-\u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f-anova-\u0432-r\/\" target=\"_blank\" rel=\"noopener\">\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 R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0424\u0443\u043d\u043a\u0446\u0438\u0438 aov() \u0438 anova() \u0432 R \u043a\u0430\u0436\u0443\u0442\u0441\u044f \u043f\u043e\u0445\u043e\u0436\u0438\u043c\u0438, \u043d\u043e \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u043c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c \u0438\u0445 \u0432 \u0434\u0432\u0443\u0445 \u0440\u0430\u0437\u043d\u044b\u0445 \u0441\u0446\u0435\u043d\u0430\u0440\u0438\u044f\u0445. \u041c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c aov() , \u043a\u043e\u0433\u0434\u0430 \u0445\u043e\u0442\u0438\u043c \u043f\u043e\u0434\u043e\u0433\u043d\u0430\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c ANOVA \u0438 \u043e\u0442\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0432 \u0441\u0432\u043e\u0434\u043d\u043e\u0439 \u0442\u0430\u0431\u043b\u0438\u0446\u0435 ANOVA. \u041c\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c anova() , \u043a\u043e\u0433\u0434\u0430 \u0445\u043e\u0442\u0438\u043c \u0441\u0440\u0430\u0432\u043d\u0438\u0442\u044c \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u0432\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0447\u0442\u043e\u0431\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u0435\u0442 \u043b\u0438 \u043c\u043e\u0434\u0435\u043b\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0441 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u043c \u043d\u0430\u0431\u043e\u0440\u043e\u043c [&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-3449","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\u043e\u0433\u0434\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c aov() \u0438\u043b\u0438 anova() \u0432 R \u2013 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content=\"\u041a\u043e\u0433\u0434\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c aov() \u0438\u043b\u0438 anova() \u0432 R \u2013 \u0421\u0442\u0430\u0442\u043e\u0440\u0438\u0430\u043b\u044b\" \/>\n<meta property=\"og: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\u043e\u0433\u0434\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e aov() \u0438 anova() \u0432 R, \u0432\u043a\u043b\u044e\u0447\u0430\u044f \u043f\u0440\u0438\u043c\u0435\u0440\u044b.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ru\/\u0430\u043e\u0432-\u043f\u0440\u043e\u0442\u0438\u0432-\u0430\u043d\u043e\u0432\u0430-\u0432-\u0433\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" 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