{"id":1577,"date":"2023-07-25T19:20:47","date_gmt":"2023-07-25T19:20:47","guid":{"rendered":"https:\/\/statorials.org\/my\/nested-r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-anova\/"},"modified":"2023-07-25T19:20:47","modified_gmt":"2023-07-25T19:20:47","slug":"nested-r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/nested-r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-anova\/","title":{"rendered":"R \u1016\u103c\u1004\u1037\u103a nested 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"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/nested-anova\/\" target=\"_blank\" rel=\"noopener\">nested ANOVA<\/a> \u101e\u100a\u103a ANOVA (&#8220; \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038&#8221; ) \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038\u1010\u103d\u1004\u103a <em>\u1021\u101e\u102d\u102f\u1000\u103a\u1021\u1019\u103c\u102f\u1036<\/em> \u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u102f\u1010\u1031\u101e\u102e\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1019\u103e \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1005\u102e\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1019\u103c\u1031\u101e\u103c\u1007\u102c A \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1013\u102c\u1010\u103a B \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1013\u102c\u1010\u103a C \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a\u104a <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1019\u103e\u102f<\/a> \u1019\u103e\u102c \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1010\u103d\u1004\u103a <em>\u1001\u103b\u102f\u1015\u103a\u1014\u103e\u1031\u102c\u1004\u103a\u1011\u102c\u1038<\/em> \u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15679 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbrique1-1.png\" alt=\"Nested ANOVA \u1014\u1019\u1030\u1014\u102c\" width=\"677\" height=\"167\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u1024 nested ANOVA \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 \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1012\u1031\u1010\u102c\u1000\u102d\u102f R \u1010\u103d\u1004\u103a\u1011\u102d\u1014\u103a\u1038\u1011\u102c\u1038\u101b\u1014\u103a \u1012\u1031\u1010\u102c\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (growth=c(13, 16, 16, 12, 15, 16, 19, 16, 15, 15, 12, 15,\n                          19, 19, 20, 22, 23, 18, 16, 18, 19, 20, 21, 21,\n                          21, 23, 24, 22, 25, 20, 20, 22, 24, 22, 25, 26),\n                 fertilizer=c(rep(c(' <span style=\"color: #ff0000;\">A<\/span> ', ' <span style=\"color: #ff0000;\">B<\/span> ', ' <span style=\"color: #ff0000;\">C<\/span> '), each= <span style=\"color: #008000;\">12<\/span> )),\n                 tech=c(rep(1:9, each= <span style=\"color: #008000;\">4<\/span> )))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  growth fertilizer tech\n1 13 A 1\n2 16 A 1\n3 16 A 1\n4 12 A 1\n5 15 A 2\n6 16 A 2<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- Nested ANOVA \u1000\u102d\u102f \u1001\u103b\u102d\u1014\u103a\u100a\u103e\u102d\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a nested ANOVA \u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>aov (\u1021\u1016\u103c\u1031 ~ \u1021\u1001\u103b\u1000\u103a A \/ \u1021\u1001\u103b\u1000\u103a B)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f-<\/strong> \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>factor A:<\/strong> \u1015\u1011\u1019\u1021\u1001\u103b\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>factor B:<\/strong> \u1015\u1011\u1019\u1021\u1001\u103b\u1000\u103a\u1010\u103d\u1004\u103a \u1012\u102f\u1010\u102d\u101a\u1021\u1001\u103b\u1000\u103a<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a nested ANOVA \u1014\u103e\u1004\u1037\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit nested ANOVA\n<\/span>nest &lt;- aov(df$growth ~ df$fertilizer \/ factor(df$tech))\n\n<span style=\"color: #008080;\">#view summary of nested ANOVA\n<\/span>summary(nest)\n\n                              Df Sum Sq Mean Sq F value Pr(&gt;F)    \ndf$fertilizer 2 372.7 186.33 53.238 4.27e-10 ***\ndf$fertilizer:factor(df$tech) 6 31.8 5.31 1.516 0.211    \nResiduals 27 94.5 3.50                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \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 p-value \u1000\u1031\u102c\u103a\u101c\u1036\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1007\u101a\u102c\u1038\u1019\u103e \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a (p-value &lt; 0.05) \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a (p-value = 0.211) \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f \u1010\u102d\u102f\u1038\u101c\u102d\u102f\u1015\u102b\u1000 \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a \u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1011\u1000\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1000\u102d\u102f \u1021\u102c\u101b\u102f\u1036\u1005\u102d\u102f\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u104e\u1004\u103a\u1038\u1000\u1006\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u1029\u1007\u102c\u1014\u103e\u1004\u1037\u103a \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101e\u102c\u1005\u1031\u101b\u1014\u103a \u1018\u1031\u102c\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load ggplot2 data visualization package\n<\/span><span style=\"color: #993300;\">library<\/span> (ggplot2)\n\n<span style=\"color: #008080;\">#create boxplots to visualize plant growth\n<\/span>ggplot(df, <span style=\"color: #3366ff;\">aes<\/span> (x=factor(tech), y=growth, fill=fertilizer)) +\n  geom_boxplot()\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15690 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbriquer1.png\" alt=\"\" width=\"429\" height=\"427\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1019\u103e\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1002\u101b\u1015\u103a\u1016\u103a\u1010\u103d\u1004\u103a\u1015\u103c\u101e\u1011\u102c\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u101e\u100a\u103a nested ANOVA \u104f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102f\u1036\u1015\u1031\u102b\u103a\u1015\u103c\u102e\u1038 \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1021\u1010\u100a\u103a\u1015\u103c\u102f\u1015\u1031\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1019\u103e \u1019\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\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><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/one-way-anova-r\/\" target=\"_blank\" rel=\"noopener\">R \u1016\u103c\u1004\u1037\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\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<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/anova-ra-\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\/\" target=\"_blank\" rel=\"noopener\">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><br \/> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f-anova\/\" target=\"_blank\" rel=\"noopener\">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":"<p>nested ANOVA \u101e\u100a\u103a ANOVA (&#8220; \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038&#8221; ) \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u101e\u102d\u102f\u1000\u103a\u1021\u1019\u103c\u102f\u1036 \u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u101e\u102f\u1010\u1031\u101e\u102e\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1019\u103e \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1005\u102e\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1019\u103c\u1031\u101e\u103c\u1007\u102c A \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1013\u102c\u1010\u103a B \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a \u101e\u102f\u1036\u1038\u1026\u1038\u1000 \u1021\u1015\u1004\u103a\u101c\u1031\u1038\u1019\u103b\u102d\u102f\u1038\u1010\u103d\u1004\u103a \u1013\u102c\u1010\u103a C \u1016\u103c\u1014\u103a\u1038\u1000\u103c\u101e\u100a\u103a\u104b \u1024\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a\u104a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1019\u103e\u102f \u1019\u103e\u102c \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\u103a \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1013\u102c\u1010\u103a\u1019\u103c\u1031\u101e\u103c\u1007\u102c\u1010\u103d\u1004\u103a \u1001\u103b\u102f\u1015\u103a\u1014\u103e\u1031\u102c\u1004\u103a\u1011\u102c\u1038 \u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a [&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>R \u1016\u103c\u1004\u1037\u103a Nested 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<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R in nested ANOVA \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\u1011\u102c\u1038\u101e\u100a\u103a\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\/nested-r-\u1010\u103d\u1004\u103a-anova\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u1016\u103c\u1004\u1037\u103a Nested 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\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a R in nested ANOVA \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\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/nested-r-\u1010\u103d\u1004\u103a-anova\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T19:20:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/imbrique1-1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/nested-r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-anova\/\",\"url\":\"https:\/\/statorials.org\/my\/nested-r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-anova\/\",\"name\":\"R \u1016\u103c\u1004\u1037\u103a Nested ANOVA \u1000\u102d\u102f 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