{"id":1615,"date":"2023-07-25T15:47:14","date_gmt":"2023-07-25T15:47:14","guid":{"rendered":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/"},"modified":"2023-07-25T15:47:14","modified_gmt":"2023-07-25T15:47:14","slug":"r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/r-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/","title":{"rendered":"Welch \u104f 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"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Welch&#8217;s ANOVA<\/strong> \u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/one-way-anova\/\" target=\"_blank\" rel=\"noopener\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u104f<\/a> <a href=\"https:\/\/statorials.org\/my\/\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u1021\u1001\u103c\u102c\u1038<\/a> \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/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 Welch&#8217;s 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\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;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u1005\u1031\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 \u1041\u1040 \u1026\u1038\u1000\u102d\u102f \u1010\u1005\u103a\u1015\u1010\u103a\u1000\u103c\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1000\u102c \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u1021\u102c\u1038 \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u1000\u103a\u1021\u1001\u1032\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 \u1021\u101a\u1031\u102c\u1000\u103a (\u1043\u1040) \u104f \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032 \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;-data. <span style=\"color: #3366ff;\">frame<\/span> (group = <span style=\"color: #3366ff;\">rep<\/span> (c(' <span style=\"color: #008000;\">A<\/span> ', ' <span style=\"color: #008000;\">B<\/span> ', ' <span style=\"color: #008000;\">C<\/span> '), <span style=\"color: #3366ff;\">each<\/span> =10),\n                score = c(64, 66, 68, 75, 78, 94, 98, 79, 71, 80,\n                          91, 92, 93, 85, 87, 84, 82, 88, 95, 96,\n                          79, 78, 88, 94, 92, 85, 83, 85, 82, 81))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n   group score\n1 to 64\n2 to 66\n3 to 68\n4 to 75\n5 to 78\n6 to 94<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101e\u102c\u1010\u1030\u100a\u102e\u1019\u103b\u103e\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u103c\u102c\u1038\u101b\u103e\u102d\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1010\u1014\u103a\u1038\u1010\u1030\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/bartlett-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Bartlett test \u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f <a href=\"https:\/\/statorials.org\/my\/p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c-\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/a> \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 (\u1025\u1015\u1019\u102c \u03b1 = 0.05) \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bartlett test \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b syntax \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a base R \u1010\u103d\u1004\u103a <strong>bartlett.test<\/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\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>bartlett.test(\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u104a \u1012\u1031\u1010\u102c)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a \u1024\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\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Bartlett's test\n<\/span>bartlett. <span style=\"color: #3366ff;\">test<\/span> (score ~ group, data = df)\n\n\tBartlett test of homogeneity of variances\n\ndata: score by group\nBartlett's K-squared = 8.1066, df = 2, p-value = 0.01737\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bartlett \u104f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value ( <strong>.01737<\/strong> ) \u101e\u100a\u103a \u03b1 = .05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u1037\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1010\u1014\u103a\u1038\u1010\u1030\u100a\u102e\u1019\u103b\u103e\u1019\u103e\u102f\u104f \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u103b\u102d\u102f\u1038\u1016\u1031\u102c\u1000\u103a\u1015\u103c\u102e\u1038 Welch \u104f ANOVA \u1016\u103c\u1004\u1037\u103a \u1006\u1000\u103a\u101c\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- Welch&#8217;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Welch \u104f ANOVA \u1000\u102d\u102f R \u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u104a R base <strong>oneway.test()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\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;\">#perform Welch's ANOVA\n<\/span>oneway. <span style=\"color: #3366ff;\">test<\/span> (score ~ group, data = df, var. <span style=\"color: #3366ff;\">equal<\/span> = <span style=\"color: #008000;\">FALSE<\/span> )\n\n\tOne-way analysis of means (not assuming equal variances)\n\ndata: score and group\nF = 5.3492, num df = 2.00, denom df = 16.83, p-value = 0.01591\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 p-value ( <strong>0.01591<\/strong> ) \u101e\u100a\u103a \u03b1 = 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 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u1015\u100a\u102c\u101e\u102f\u1036\u1038\u101b\u1015\u103a\u1010\u103d\u1004\u103a \u1010\u1014\u103a\u1038\u1010\u1030\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \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 \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a post hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b R \u1010\u103d\u1004\u103a \u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u1031\u102c post-hoc \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\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 \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u1015\u102b\u104b<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-bonferroni-\u1021\u1019\u103e\u102c\u1038\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Bonferroni \u1021\u1019\u103e\u102c\u1038\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1014\u100a\u103a\u1038<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/tukey-test-r\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u1014\u103a\u1014\u1031\u1002\u103b\u102c\/\" target=\"_blank\" rel=\"noopener\">R \u1010\u103d\u1004\u103a Scheffe \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\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><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101e\u1004\u1037\u103a\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d \u1019\u100a\u103a\u101e\u100a\u1037\u103a post-hoc \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1000\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/tukey-vs-bonferroni-vs-scheffe\/\" target=\"_blank\" rel=\"noopener\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1000\u102d\u102f<\/a> \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\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\">\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\">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<\/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>Welch&#8217;s ANOVA \u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u104f \u1021\u1001\u103c\u102c\u1038 \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\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 Welch&#8217;s 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\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u1005\u1031\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1014\u100a\u103a\u1038\u1015\u100a\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 \u1041\u1040 \u1026\u1038\u1000\u102d\u102f \u1010\u1005\u103a\u1015\u1010\u103a\u1000\u103c\u102c \u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1000\u102c \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u1021\u102c\u1038 \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u1000\u103a\u1021\u1001\u1032\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u1038\u101e\u100a\u103a\u104b \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 \u1021\u101a\u1031\u102c\u1000\u103a (\u1043\u1040) \u104f \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032 \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b #create data frame df &lt;-data. frame (group = rep (c(&#8216; A &#8216;, &#8216; B [&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>Welch \u104f 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<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Welch \u104f 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\u1000\u102d\u102f \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 \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\/r-\u1010\u103d\u1004\u103a-welchs-anova\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Welch \u104f 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\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Welch \u104f 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\u1000\u102d\u102f \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 \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-welchs-anova\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T15:47:14+00:00\" \/>\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 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