{"id":1010,"date":"2023-07-28T00:10:59","date_gmt":"2023-07-28T00:10:59","guid":{"rendered":"https:\/\/statorials.org\/my\/tukey-test-r\/"},"modified":"2023-07-28T00:10:59","modified_gmt":"2023-07-28T00:10:59","slug":"tukey-test-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/tukey-test-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/one-way-anova\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f<\/a> \u101e\u102f\u1036\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1019\u103e\u102f \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener noreferrer\">p-value \u101e\u100a\u103a<\/a> \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1019\u103e\u102c \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a <em>\u1019\u100a\u103a\u101e\u100a\u1037\u103a<\/em> \u1021\u1016\u103d\u1032\u1037\u1019\u103b\u102c\u1038 \u1021\u1001\u103b\u1004\u103a\u1038\u1001\u103b\u1004\u103a\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1024\u1021\u101b\u102c\u1000 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1019\u1015\u103c\u1031\u102c\u1015\u102b\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1021\u102f\u1015\u103a\u1005\u102f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u1019\u100a\u102e\u1019\u103b\u103e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b \u1018\u101a\u103a\u1021\u1016\u103d\u1032\u1037\u1010\u103d\u1031\u1000 \u1010\u1005\u103a\u1001\u102f\u1014\u1032\u1037\u1010\u1005\u103a\u1001\u102f \u1019\u1010\u1030\u1018\u1030\u1038\u1006\u102d\u102f\u1010\u102c \u1021\u1010\u102d\u1021\u1000\u103b\u101e\u102d\u1016\u102d\u102f\u1037\u1021\u1010\u103d\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/post-hoc-anova-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">post hoc test<\/a> \u101c\u102f\u1015\u103a\u1016\u102d\u102f\u1037\u101c\u102d\u102f\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038 post hoc \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a <strong>Tukey test<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u1019\u102d\u101e\u102c\u1038\u1005\u102f-error-\u1014\u103e\u102f\u1014\u103a\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1019\u102d\u101e\u102c\u1038\u1005\u102f\u1021\u101c\u102d\u102f\u1000\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1000\u102d\u102f<\/a> \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1014\u1031\u1005\u1009\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a pairwise \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Tukey \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f R \u1010\u103d\u1004\u103a \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<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a-<\/strong> \u101e\u1004\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u101b\u103e\u102d\u1021\u1016\u103d\u1032\u1037\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102d\u1014\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u101e\u100a\u1037\u103a\u1021\u1016\u103d\u1032\u1037\u101f\u102f\u101a\u1030\u1006\u1015\u102b\u1000\u104a <a href=\"https:\/\/statorials.org\/my\/dunnetts-\u1005\u1019\u103a\u1038\u101e\u1015\u103a-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Dunnett \u104f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/a> post-hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1016\u103c\u1005\u103a \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104b<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- R \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1- ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f (A\u104a B\u104a \u1014\u103e\u1004\u1037\u103a C) \u1016\u103c\u1004\u1037\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u102f\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 \u1010\u1030\u100a\u102e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1005\u1031\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset.seed(0)\n\n<span style=\"color: #008080;\">#create data<\/span>\ndata &lt;- data.frame(group = <span style=\"color: #3366ff;\">rep<\/span> (c(\"A\", \"B\", \"C\"), <span style=\"color: #3366ff;\">each<\/span> = 30),\n                   values = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#view first six rows of data<\/span>\nhead(data)\n\n  group values\n1 A 2.6900916\n2 A 0.7965260\n3 A 1.1163717\n4 A 1.7185601\n5 A 2.7246234\n6 A 0.6050458\n\n<span style=\"color: #008080;\">#fit one-way ANOVA model<\/span>\nmodel &lt;- <span style=\"color: #3366ff;\">aov<\/span> (values~group, data=data)\n\n<span style=\"color: #008080;\">#view the model output\n<\/span>summary(model)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \ngroup 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;\">ANOVA \u1007\u101a\u102c\u1038\u1019\u103e \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036 p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>7.55e-11<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1019\u100a\u102e\u1019\u103b\u103e\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u1031\u102c\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1016\u103d\u1032\u1037\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u101e\u100a\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1021\u1010\u102d\u1021\u1000\u103b \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Tukey test \u1000\u102d\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2: Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a <strong>TukeyHSD()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038\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;\">#perform Tukey's Test\n<\/span>TukeyHSD(model, conf.level= <span style=\"color: #993300;\">.95<\/span> ) \n\n  Tukey multiple comparisons of means\n    95% family-wise confidence level\n\nFit: aov(formula = values ~ group, data = data)\n\n$group\n         diff lwr upr p adj\nBA 0.9777414 0.1979466 1.757536 0.0100545\nCA 2.5454024 1.7656076 3.325197 0.0000000\nCB 1.5676610 0.7878662 2.347456 0.0000199\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u102d\u102f\u101a\u103a\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a \u101c\u103b\u1031\u102c\u1037\u1000\u103b\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1011\u1030\u1038\u101e\u1016\u103c\u1004\u1037\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">B \u1014\u103e\u1004\u1037\u103a A \u1021\u1000\u103c\u102c\u1038\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a P \u1010\u1014\u103a\u1016\u102d\u102f\u1038: <strong>0.0100545<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">P \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a C \u1014\u103e\u1004\u1037\u103a A \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a <strong>0.0000000<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">C \u1014\u103e\u1004\u1037\u103a B \u1021\u1000\u103c\u102c\u1038\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a P \u1010\u1014\u103a\u1016\u102d\u102f\u1038: <strong>0.0000199<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \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><\/p>\n<p> <span style=\"color: #000000;\">\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101e\u102c\u1005\u1031\u101b\u1014\u103a <strong>plot(TukeyHSD())<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot confidence intervals<\/span>\nplot(TukeyHSD(model, conf.level= <span style=\"color: #993300;\">.95<\/span> ), las = <span style=\"color: #993300;\">2<\/span> )\n<\/strong><\/pre>\n<p> <em><span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a<\/strong> \u104b<\/span><\/em> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10466 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukey1.png\" alt=\"R \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\" width=\"379\" height=\"393\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1016\u103d\u1032\u1037\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u102f\u100a\u1019\u1015\u102b\u101d\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f\u1010\u103d\u1004\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\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1011\u1030\u1038\u1025\u1015\u1019\u102c\u1021\u1010\u103d\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f C \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u102f\u1015\u103a\u1005\u102f A \u1014\u103e\u1004\u1037\u103a B \u1010\u102d\u102f\u1037\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1011\u1000\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f B \u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u102f\u1015\u103a\u1005\u102f A \u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1011\u1000\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\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\/post-hoc-anova-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">ANOVA \u1016\u103c\u1004\u1037\u103a Post-Hoc Testing \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/one-way-anova-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\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><br \/> <a href=\"https:\/\/statorials.org\/my\/anova-ra-\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1019\u103e\u102f \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b ANOVA \u1007\u101a\u102c\u1038\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 p-value \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1019\u103e\u102c \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a \u1021\u1016\u103d\u1032\u1037\u1019\u103b\u102c\u1038 \u1021\u1001\u103b\u1004\u103a\u1038\u1001\u103b\u1004\u103a\u1038 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1024\u1021\u101b\u102c\u1000 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1019\u1015\u103c\u1031\u102c\u1015\u102b\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1021\u102f\u1015\u103a\u1005\u102f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u1019\u100a\u102e\u1019\u103b\u103e\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b \u1018\u101a\u103a\u1021\u1016\u103d\u1032\u1037\u1010\u103d\u1031\u1000 \u1010\u1005\u103a\u1001\u102f\u1014\u1032\u1037\u1010\u1005\u103a\u1001\u102f \u1019\u1010\u1030\u1018\u1030\u1038\u1006\u102d\u102f\u1010\u102c \u1021\u1010\u102d\u1021\u1000\u103b\u101e\u102d\u1016\u102d\u102f\u1037\u1021\u1010\u103d\u1000\u103a post hoc test \u101c\u102f\u1015\u103a\u1016\u102d\u102f\u1037\u101c\u102d\u102f\u1015\u102b\u1010\u101a\u103a\u104b [&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 - Statology \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"R \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\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\/tukey-test-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statology \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\" \/>\n<meta property=\"og:description\" content=\"R \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c 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