{"id":1616,"date":"2023-07-25T15:42:09","date_gmt":"2023-07-25T15:42:09","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%85%e1%80%95%e1%80%ab%e1%80%b8%e1%80%a1%e1%80%af%e1%80%b6%e1%80%b8%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/"},"modified":"2023-07-25T15:42:09","modified_gmt":"2023-07-25T15:42:09","slug":"%e1%80%85%e1%80%95%e1%80%ab%e1%80%b8%e1%80%a1%e1%80%af%e1%80%b6%e1%80%b8%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%85%e1%80%95%e1%80%ab%e1%80%b8%e1%80%a1%e1%80%af%e1%80%b6%e1%80%b8%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/","title":{"rendered":"Python \u101b\u103e\u102d welch \u104f anova (\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a)"},"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\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a Welch&#8217;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\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>A = [64, 66, 68, 75, 78, 94, 98, 79, 71, 80]\nB = [91, 92, 93, 90, 97, 94, 82, 88, 95, 96]\nC = [79, 78, 88, 94, 92, 85, 83, 85, 82, 81]\n<\/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;\"><span style=\"color: #000000;\">Python \u1010\u103d\u1004\u103a Bartlett \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\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#perform Bartlett's test \n<\/span>stats. <span style=\"color: #3366ff;\">bartlett<\/span> (A, B, C)\n\nBartlettResult(statistic=9.039674395, pvalue=0.010890796567)\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bartlett \u104f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-value ( <strong>.01089<\/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 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101b\u103e\u102d\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\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;\">Python \u1010\u103d\u1004\u103a Welch \u104f ANOVA \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a Penguin \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103e <strong>welch_anova()<\/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;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a Penguin \u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\">pip <span style=\"color: #008000;\">install<\/span> Penguin<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a Welch \u104f ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \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: #008000;\">import <span style=\"color: #000000;\">penguin<\/span> as <span style=\"color: #000000;\">pg<\/span>\nimport<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">score<\/span> ': [64, 66, 68, 75, 78, 94, 98, 79, 71, 80,\n                             91, 92, 93, 90, 97, 94, 82, 88, 95, 96,\n                             79, 78, 88, 94, 92, 85, 83, 85, 82, 81],\n                   ' <span style=\"color: #ff0000;\">group<\/span> ': np. <span style=\"color: #3366ff;\">repeat<\/span> (['a', 'b', 'c'], <span style=\"color: #ff0000;\">repeats<\/span> = <span style=\"color: #008000;\">10<\/span> )}) \n\n<span style=\"color: #008080;\">#perform Welch's ANOVA\n<\/span>pg. <span style=\"color: #3366ff;\">welch_anova<\/span> (dv=' <span style=\"color: #ff0000;\">score<\/span> ', between=' <span style=\"color: #ff0000;\">group<\/span> ', data=df)\n\n        Source ddof1 ddof2 F p-unc np2\n0 group 2 16.651295 9.717185 0.001598 0.399286\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>0.001598<\/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 \u1021\u1010\u102d\u1021\u1000\u103b \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a Games-Howell 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-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>pg. <span style=\"color: #3366ff;\">pairwise_gameshowell<\/span> (dv=' <span style=\"color: #ff0000;\">score<\/span> ', between=' <span style=\"color: #ff0000;\">group<\/span> ', data=df)\n\n\n        A B mean(A) mean(B) diff se T df pval\t\n0 a b 77.3 91.8 -14.5 3.843754 -3.772354 11.6767 0.0072\n1 a c 77.3 84.7 -7.4 3.952777 -1.872102 12.7528 0.1864\n2 b c 91.8 84.7 7.1 2.179959 3.256942 17.4419 0.0119\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1019\u103e\u104a \u1021\u102f\u1015\u103a\u1005\u102f <strong>a<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>b \u1021<\/strong> \u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f <strong>b<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>c<\/strong> \u1021\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\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-python\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a One-Way ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-anova-bidirectional\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a Two-Way 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\/\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f-anova-python\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038 ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\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\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a Welch&#8217;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\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 A = [64, 66, 68, 75, 78, 94, 98, 79, 71, 80] B = [91, [&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>Python \u101b\u103e\u102d Welch \u104f ANOVA (\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a)<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Welch&#039;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\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 Python \u1010\u103d\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\/\u1005\u1015\u102b\u1038\u1021\u102f\u1036\u1038\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=\"Python \u101b\u103e\u102d Welch \u104f ANOVA (\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a)\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Welch&#039;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\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 Python \u1010\u103d\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\/\u1005\u1015\u102b\u1038\u1021\u102f\u1036\u1038\u1010\u103d\u1004\u103a-welchs-anova\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T15:42:09+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 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/%e1%80%85%e1%80%95%e1%80%ab%e1%80%b8%e1%80%a1%e1%80%af%e1%80%b6%e1%80%b8%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/\",\"url\":\"https:\/\/statorials.org\/my\/%e1%80%85%e1%80%95%e1%80%ab%e1%80%b8%e1%80%a1%e1%80%af%e1%80%b6%e1%80%b8%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-welchs-anova\/\",\"name\":\"Python \u101b\u103e\u102d Welch \u104f ANOVA (\u1010\u1005\u103a\u1006\u1004\u1037\u103a\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1006\u1004\u1037\u103a)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-25T15:42:09+00:00\",\"dateModified\":\"2023-07-25T15:42:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Welch&#39;s ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\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 Python \u1010\u103d\u1004\u103a 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