{"id":2080,"date":"2023-07-23T19:14:33","date_gmt":"2023-07-23T19:14:33","guid":{"rendered":"https:\/\/statorials.org\/my\/anova-f-value-p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8\/"},"modified":"2023-07-23T19:14:33","modified_gmt":"2023-07-23T19:14:33","slug":"anova-f-value-p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/anova-f-value-p-%e1%80%90%e1%80%94%e1%80%ba%e1%80%96%e1%80%ad%e1%80%af%e1%80%b8\/","title":{"rendered":"Anova \u1010\u103d\u1004\u103a f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a p \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>ANOVA<\/strong> (&#8220; \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038&#8221; ) \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\u1019\u1000\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u100a\u102e\u1010\u1030\u100a\u102e\u1019\u103b\u103e\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 \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u1021\u102f\u1015\u103a\u1005\u102f\u101f\u1030\u101e\u100a\u103a \u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u100a\u102e\u1010\u1030\u100a\u102e\u1019\u103b\u103e\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1019\u1010\u1030\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101e\u1004\u103a ANOVA \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1007\u101a\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1021\u1006\u102f\u1036\u1038\u101e\u1010\u103a\u101b\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a-<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038 (SS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">df<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038 (MS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">F<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">P-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u1000\u102f\u101e\u1019\u103e\u102f<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1049\u1042.\u1042<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1042<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1049\u1046.\u1041<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1042,\u1043\u1045\u1048<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1040.\u1041\u1041\u1043\u1048<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u1021\u1019\u103e\u102c\u1038<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1041\u1040\u1040.\u1046<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1042\u1047<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1044\u1040.\u1048<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1042\u1049\u1042.\u1048<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1042\u1049<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1001\u103b\u1000\u103a\u1001\u103b\u1004\u103a\u1038\u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1019\u103e\u102c <strong>F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038<\/strong> \u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c <strong>p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA \u1010\u103d\u1004\u103a F Statistic \u1000\u102d\u102f\u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038<\/strong> \u101e\u100a\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1021\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038- Mean Squares \/ Mean Square \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u1031\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u101b\u102c\u1000\u102d\u102f\u101b\u1031\u1038\u101b\u1014\u103a\u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103e\u102c-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038- \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\/ \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1004\u103a\u1038 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1000\u103c\u102e\u1038\u101c\u1031\u104a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\u104a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101c\u1031\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 F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1000\u103c\u102e\u1038\u101c\u1031\u101c\u1031\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u101c\u1031\u101c\u1031 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA \u101b\u103e\u102d P-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a F \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u100a\u1037\u103a <strong>p-value<\/strong> \u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u1031\u102c <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\u1000\u102d\u102f<\/a> \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u104a \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031 = df \u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1015\u102b\u101e\u100a\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/f-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">F-distribution \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u1000\u102d\u102f<\/a> \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<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 2.358\u104a \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031 df = 2 \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031 df = 27 \u101e\u100a\u103a <strong>0.1138<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19372 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova_f1.png\" alt=\"\" width=\"335\" height=\"467\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a \u03b1 = 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a ANOVA \u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u104f \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \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\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u1000 p-value \u101e\u100a\u103a \u03b1 = 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u1015\u102b\u1000\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\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\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 \u1019\u101b\u103e\u102d\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a p-value \u101e\u100a\u103a 0.1138 \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1016\u103d\u1032\u1037\u1000\u103c\u102c\u1038\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 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a \u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u101e\u1000\u103a\u101e\u1031 \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA \u1016\u103c\u1004\u1037\u103a post-hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">ANOVA \u1010\u1005\u103a\u1001\u102f\u104f p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000\u104a \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u103d\u1004\u103a\u104a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1016\u103d\u1032\u1037\u1019\u103b\u102c\u1038 \u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f \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 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\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\">post-hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\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;\">ANOVA \u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \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\u1019\u100a\u1037\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u103e\u102d\u101e\u1031\u102c post-hoc \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102c\u1038\u1021\u1015\u103c\u102c\u1038\u101b\u103e\u102d\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u101c\u1030\u1000\u103c\u102d\u102f\u1000\u103a\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1019\u103e\u102c-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tukey \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bonferroni \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\">Scheffe \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101e\u1004\u103a\u104f \u101e\u102e\u1038\u1001\u103c\u102c\u1038\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\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/tukey-vs-bonferroni-vs-scheffe\/\" target=\"_blank\" rel=\"noopener\">\u1024\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f<\/a> \u1000\u102d\u102f\u1038\u1000\u102c\u1038\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> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a ANOVA \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/one-way-anova\/\" target=\"_blank\" rel=\"noopener\">One-Way ANOVA \u1019\u102d\u1010\u103a\u1006\u1000\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038-anova\/\" target=\"_blank\" rel=\"noopener\">\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1019\u102d\u1010\u103a\u1006\u1000\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/anova-\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f-\u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036- ANOVA \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/anova-\u1014\u103e\u1004\u1037\u103a-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1014\u103e\u1004\u1037\u103a \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f- \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANOVA (&#8220; \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1001\u103c\u1004\u103a\u1038&#8221; ) \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\u1019\u1000\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u100a\u102e\u1010\u1030\u100a\u102e\u1019\u103b\u103e\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 \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b H 0 : \u1021\u102f\u1015\u103a\u1005\u102f\u101f\u1030\u101e\u100a\u103a \u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u100a\u102e\u1010\u1030\u100a\u102e\u1019\u103b\u103e\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b H A : \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a\u1019\u1010\u1030\u1015\u102b\u104b \u101e\u1004\u103a ANOVA \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b\u1010\u102d\u102f\u1004\u103a\u1038\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1015\u102f\u1036\u101e\u100f\u1039\u100d\u102c\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1007\u101a\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1021\u1006\u102f\u1036\u1038\u101e\u1010\u103a\u101b\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a- \u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038 (SS) df \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038 (MS) F P-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1000\u102f\u101e\u1019\u103e\u102f \u1041\u1049\u1042.\u1042 \u1042 \u1049\u1046.\u1041 \u1042,\u1043\u1045\u1048 [&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>ANOVA - Statology \u1010\u103d\u1004\u103a F \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a P \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\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 F \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a ANOVA \u1010\u103d\u1004\u103a 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