{"id":3451,"date":"2023-07-17T10:17:33","date_gmt":"2023-07-17T10:17:33","guid":{"rendered":"https:\/\/statorials.org\/my\/aov-%e1%80%94%e1%80%be%e1%80%84%e1%80%b7%e1%80%ba-anova-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-r\/"},"modified":"2023-07-17T10:17:33","modified_gmt":"2023-07-17T10:17:33","slug":"aov-%e1%80%94%e1%80%be%e1%80%84%e1%80%b7%e1%80%ba-anova-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/aov-%e1%80%94%e1%80%be%e1%80%84%e1%80%b7%e1%80%ba-anova-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a aov() \u1014\u103e\u1004\u1037\u103a anova() \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u103b\u102d\u1014\u103a\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"

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\n

R \u101b\u103e\u102d aov()<\/strong> \u1014\u103e\u1004\u1037\u103a anova()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1006\u1004\u103a\u1010\u1030\u101e\u100a\u103a\u101f\u102f\u1011\u1004\u103a\u101b\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u103c\u102e\u1038 ANOVA \u1021\u1014\u103e\u1005\u103a\u1001\u103b\u102f\u1015\u103a\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101c\u102d\u102f\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a aov() \u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c coefficients \u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a regression model \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a coefficients \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101e\u1031\u102c model \u1011\u1000\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a nested regression model \u1019\u103b\u102c\u1038\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101c\u102d\u102f\u101e\u1031\u102c\u1021\u1001\u102b anova() \u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1025\u1015\u1019\u102c 1- R \u1010\u103d\u1004\u103a aov() \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038<\/strong><\/span><\/h2>\n

\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u101e\u100a\u103a \u1000\u102d\u102f\u101a\u103a\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1000\u103b\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n

\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a A\u104a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a B \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a C \u1000\u102d\u102f \u1010\u1005\u103a\u101c\u1000\u103c\u102c \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u101b\u1014\u103a \u101c\u1030 30 \u1000\u102d\u102f \u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u101b\u1014\u103a \u101c\u1030 90 \u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n

\u1024\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a R \u1010\u103d\u1004\u103a aov()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000 \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n

 #make this example reproducible\n<\/span>set. seeds<\/span> (0)\n\n#create data frame\n<\/span>df <- data. frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each= 30<\/span> ),\n                 weight_loss = c(runif(30, 0, 3),\n                                 runif(30, 0, 5),\n                                 runif(30, 1, 7)))\n\n#fit one-way anova using aov()\n<\/span>fit <- aov(weight_loss ~ program, data=df)\n\n#view results\n<\/span>summary(fit)\n\n            Df Sum Sq Mean Sq F value Pr(>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
 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u104f p-value (0.0000000000755) \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u103b\u103e\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u102d\u102f\u101a\u103a\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1025\u1015\u1019\u102c 2- R \u1010\u103d\u1004\u103a anova() \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038<\/strong><\/span><\/h2>\n
 \u1000\u1031\u102c\u101c\u102d\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/strong> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u100a\u1037\u103a \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n
 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036-<\/strong> \u101b\u1019\u103e\u1010\u103a = \u03b2 0<\/sub> + B 1<\/sub> (\u1014\u102c\u101b\u102e) + B 2<\/sub> (\u1014\u102c\u101b\u102e) 2<\/sup><\/span><\/p>\n
 \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a-<\/strong> \u101b\u1019\u103e\u1010\u103a = \u03b2 0<\/sub> + B 1<\/sub> (\u1014\u102c\u101b\u102e)<\/span><\/p>\n
 \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u101e\u100a\u103a \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u1031\u102c\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1011\u1000\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1015\u102d\u102f\u104d\u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1019\u1016\u103c\u1005\u103a\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a R \u101b\u103e\u102d anova()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n
 #make this example reproducible\nset. seeds<\/span> (1)\n\n#create dataset\n<\/span>df <- 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#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#fit full model\n<\/span>full <- lm(score ~ poly(hours,2), data=df)\n\n#fit reduced model\n<\/span>reduced <- lm(score ~ hours, data=df)\n\n#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(>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
 \u1021\u1011\u103d\u1000\u103a\u1007\u101a\u102c\u1038\u101b\u103e\u102d p-value (0.002144) \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u101e\u100a\u103a \u101c\u103b\u103e\u1031\u102c\u1037\u1011\u102c\u1038\u101e\u1031\u102c\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1011\u1000\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1015\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n
 \u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n
 \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1018\u102f\u1036\u1021\u101c\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n
 \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f R \u1016\u103c\u1004\u1037\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a>
 R \u1016\u103c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a>
 R \u1016\u103c\u1004\u1037\u103a ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
R \u101b\u103e\u102d aov() \u1014\u103e\u1004\u1037\u103a anova() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1006\u1004\u103a\u1010\u1030\u101e\u100a\u103a\u101f\u102f\u1011\u1004\u103a\u101b\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u103c\u102e\u1038 ANOVA \u1021\u1014\u103e\u1005\u103a\u1001\u103b\u102f\u1015\u103a\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101c\u102d\u102f\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a aov() \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c coefficients \u1021\u1005\u102f\u1036\u1014\u103e\u1004\u1037\u103a regression model \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a coefficients \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101e\u1031\u102c model \u1011\u1000\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a nested regression model \u1019\u103b\u102c\u1038\u104f \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101c\u102d\u102f\u101e\u1031\u102c\u1021\u1001\u102b anova() \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c 1- R \u1010\u103d\u1004\u103a aov() \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c […]<\/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":"\nR \u2013 Statorials \u1010\u103d\u1004\u103a aov() \u1014\u103e\u1004\u1037\u103a anova() \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u103b\u102d\u1014\u103a\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1021\u1015\u102b\u1021\u101d\u1004\u103a R \u1010\u103d\u1004\u103a aov() vs anova() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u103b\u102d\u1014\u103a\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\" \/>\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\/my\/aov-\u1014\u103e\u1004\u1037\u103a-anova-\u1010\u103d\u1004\u103a-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u2013 Statorials \u1010\u103d\u1004\u103a aov() \u1014\u103e\u1004\u1037\u103a anova() \u1000\u102d\u102f 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