{"id":885,"date":"2023-07-28T10:31:38","date_gmt":"2023-07-28T10:31:38","guid":{"rendered":"https:\/\/statorials.org\/my\/tukey-kramer-post-hoc-excel-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2\/"},"modified":"2023-07-28T10:31:38","modified_gmt":"2023-07-28T10:31:38","slug":"tukey-kramer-post-hoc-excel-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/tukey-kramer-post-hoc-excel-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2\/","title":{"rendered":"Excel \u1010\u103d\u1004\u103a tukey-kramer post hoc test \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\/one-way-anova\/\" target=\"_blank\" rel=\"noopener\">\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\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\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 \u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener\">\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1019\u103e\u102c<\/a> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">null hypothesis (H <sub>0<\/sub> ) : \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> = \u00b5 <sub>3<\/sub> = \u2026 = \u00b5 <sub>k<\/sub> (\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a- (\u101f\u102c)- \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u104f <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener\">p-value<\/a> \u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u100a\u1037\u103a\u1021\u1006\u1004\u1037\u103a\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\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u104f \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1019\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\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \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;\">\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 post hoc test \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\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038 post hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a <strong>Tukey-Kramer \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f pairwise \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102c\u1038\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u101e\u100a\u103a Excel \u1010\u103d\u1004\u103a Tukey-Kramer \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\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>\u1025\u1015\u1019\u102c- Excel \u1010\u103d\u1004\u103a Tukey-Kramer \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A, B, \u1014\u103e\u1004\u1037\u103a C \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u104f\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\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9546 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel1.png\" alt=\"Excel \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\u1021\u1011\u103d\u1000\u103a\" width=\"623\" height=\"360\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1006\u1000\u103a\u1005\u1015\u103a-<\/strong> <a href=\"https:\/\/statorials.org\/my\/one-way-anova-excel-\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">Excel \u1010\u103d\u1004\u103a One-Way ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.000588<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a 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\u101e\u102f\u1036\u1038\u1005\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1019\u103e\u102c <em>\u1019\u100a\u102e\u101f\u102f<\/em> \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>\u1019\u100a\u103a\u101e\u100a\u1037\u103a<\/em> \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\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Tukey-Kramer 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<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1-<\/strong> <strong>\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u1000\u1010\u102d\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101b\u103e\u102c\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a ANOVA \u101b\u101c\u1012\u103a\u104f\u1015\u1011\u1019\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u103c\u102e\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1000\u103c\u102c\u1038\u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u1032\u1037\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1015\u102b\u1019\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9548 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel2.png\" alt=\"Excel \u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1021\u1011\u103d\u1000\u103a\" width=\"478\" height=\"383\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- Q \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Q \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Q = Q*\u221a(s <sup>2<\/sup> <sub>\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u100a\u103a<\/sub> \/ n.)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Q<\/strong> = Student Table Q \u104f \u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup> <sub>pooled<\/sub> =<\/strong> \u1021\u102f\u1015\u103a\u1005\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1019\u101f\u102f\u1010\u103a\u1018\u1030\u1038<\/strong> = \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1021\u1016\u103d\u1032\u1037\u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Q \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u101b\u1014\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1024\u1000\u1032\u1037\u101e\u102d\u102f\u1037\u1015\u102f\u1036\u1015\u102b\u101e\u1031\u102c Studentized range Q \u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9549 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel3.png\" alt=\"Q \u1005\u1036\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1001\u103c\u102c\u1038\u1019\u103b\u102c\u1038 \u1007\u101a\u102c\u1038\" width=\"318\" height=\"358\" srcset=\"\" sizes=\"\"><\/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\u104a k = \u1021\u102f\u1015\u103a\u1005\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104a \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c k = 3\u104b \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f nk = 30 \u2013 3 = 27 \u1021\u1016\u103c\u1005\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u100a\u103a\u104b 27 \u1000\u102d\u102f \u1021\u1011\u1000\u103a\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101b\u103e\u1031\u1038\u101b\u102d\u102f\u1038\u1006\u1014\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a 24 \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b . k = 3 \u1014\u103e\u1004\u1037\u103a df = 24 \u1000\u102d\u102f\u1021\u1001\u103c\u1031\u1001\u1036\u104d Q = <strong>3.53<\/strong> \u1000\u102d\u102f\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f <strong>19.056<\/strong> \u1021\u1016\u103c\u1005\u103a \u1011\u103d\u1000\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1016\u103c\u1005\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9550 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel4.png\" alt=\"\" width=\"588\" height=\"355\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1019\u103e\u102c 10 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Q \u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Q = Q*\u221a(s <sup>2<\/sup> <sub>\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1011\u102c\u1038\u101e\u100a\u103a<\/sub> \/ n.) = 3.53*\u221a(19.056\/10) = <strong>4.87<\/strong> \u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9551 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel5.png\" alt=\"\" width=\"555\" height=\"379\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \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\u1015\u102b<\/strong> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u1000\u1010\u102d\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u101d\u1031\u1016\u1014\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Q \u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1000\u103c\u103d\u1004\u103a\u1038\u1019\u1032\u1037\u1006\u102d\u102f\u101c\u102d\u102f\u1019\u103e\u102f\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 Q \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u1015\u102b\u1000\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9552 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel6.png\" alt=\"Excel \u1010\u103d\u1004\u103a Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\" width=\"560\" height=\"381\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Tukey-Kramer post hoc \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f A \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f B \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f B \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f C \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1001\u103c\u1004\u103a\u1038 <em>\u1019\u101b\u103e\u102d\u1015\u102b<\/em> \u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f A \u1014\u103e\u1004\u1037\u103a \u1021\u102f\u1015\u103a\u1005\u102f C \u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<h3> <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><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/one-way-anova-excel-\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">Excel \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\/post-hoc-anova-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">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><\/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\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\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 \u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\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\u104b null hypothesis (H 0 ) : \u00b5 1 = \u00b5 2 = \u00b5 3 = \u2026 = \u00b5 k (\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a) \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a- (\u101f\u102c)- \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1021\u1001\u103c\u102c\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u104b ANOVA \u104f p-value \u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u100a\u1037\u103a\u1021\u1006\u1004\u1037\u103a\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 [&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>Excel \u1010\u103d\u1004\u103a Tukey-Kramer Post Hoc Test \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=\"\u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 ANOVA \u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a Excel \u1010\u103d\u1004\u103a Tukey-Kramer post hoc test \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 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