{"id":3091,"date":"2023-07-19T06:30:12","date_gmt":"2023-07-19T06:30:12","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bc%e1%80%ae%e1%80%b8%e1%80%99%e1%80%ac%e1%80%b8%e1%80%9e%e1%80%b1%e1%80%ac%e1%80%a1%e1%80%9c%e1%80%90%e1%80%ba%e1%80%85%e1%80%ac%e1%80%b8-anova\/"},"modified":"2023-07-19T06:30:12","modified_gmt":"2023-07-19T06:30:12","slug":"%e1%80%80%e1%80%bc%e1%80%ae%e1%80%b8%e1%80%99%e1%80%ac%e1%80%b8%e1%80%9e%e1%80%b1%e1%80%ac%e1%80%a1%e1%80%9c%e1%80%90%e1%80%ba%e1%80%85%e1%80%ac%e1%80%b8-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bc%e1%80%ae%e1%80%b8%e1%80%99%e1%80%ac%e1%80%b8%e1%80%9e%e1%80%b1%e1%80%ac%e1%80%a1%e1%80%9c%e1%80%90%e1%80%ba%e1%80%85%e1%80%ac%e1%80%b8-anova\/","title":{"rendered":"Anova \u1010\u103d\u1004\u103a grand mean \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038 (\u1025\u1015\u1019\u102c\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\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\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\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 \u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u1019\u103c\u1032\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u1037\u103a\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d <a href=\"https:\/\/statorials.org\/my\/\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a-\u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u101c\u1031\u1037\u101c\u102c\u1001\u103c\u1004\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1019\u103e\u102f<\/a> \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <strong>Grand mean<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u1031\u1018\u1030\u101a\u103b\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = \u03a3x <sub>i<\/sub> \/n<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : dataset \u1010\u103d\u1004\u103a i <sup>th<\/sup> observation<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Grand mean \u101e\u100a\u103a \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038 ANOVA \u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a\u1021\u1006\u102f\u1036\u1038\u101e\u1010\u103a\u101e\u100a\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1015\u102b\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 \u1025\u1015\u1019\u102c\u101e\u100a\u103a \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a ANOVA \u104f \u1000\u103c\u102e\u1038\u1019\u103c\u1010\u103a\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u1025\u1015\u1019\u102c- ANOVA \u1010\u103d\u1004\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1019\u103e\u102f \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038 \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u101e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1024\u1021\u101b\u102c\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 30 \u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u1001\u103d\u1032\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1015\u103c\u1004\u103a\u1006\u1004\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u101c\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1019\u103e\u102f \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u101c\u1000\u102f\u1014\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1010\u1030\u1010\u1030\u1016\u103c\u1031\u1006\u102d\u102f\u1000\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \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\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" sizes=\"\" srcset=\"\" alt=\"\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1012\u1031\u1010\u102c \u1014\u1019\u1030\u1014\u102c\" width=\"237\" height=\"246\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f <strong>\u1000\u103c\u102e\u1038\u1000\u103b\u101a\u103a\u101e\u1031\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u101e\u102f\u1036\u1038\u101e\u1015\u103a\u1001\u103b\u1000\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038 \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a- (\u1048\u1045+\u1048\u1046+\u1048\u1048+\u1047\u1045+\u1047\u1048+\u1049\u1044+\u1049\u1048+\u1047\u1049+\u1047\u1041+\u1048\u1040+\u1049\u1041+\u1049\u1042+\u1049\u1043+\u1048\u1045+\u1048\u1047+\u1048\u1044+\u1048\u1042+\u1048\u1048+\u1049\u1045+\u1049\u1046+\u1047\u1049+\u1047\u1048+\u1048\u1048+\u104a 94 + 92 + 85 + 83 + 85 + 82 + 81) \/ 30 = <strong>85.8<\/strong> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e 85.8 \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 30 \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1026\u1038\u1001\u103b\u1004\u103a\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1000\u104a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u1016\u103d\u1032\u1037\u1019\u103b\u103e \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; \u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036&#8221;  \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovamain1-1.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102e\u1038\u1000\u103b\u101a\u103a\u101e\u1031\u102c \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1000\u103c\u102c\u1038 \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1021\u1016\u103c\u1005\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u1037\u103a <strong>\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a<\/strong> \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1024\u1019\u101f\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038- (85 \u2013 85.8) <sup>2<\/sup> + (86 \u2013 85.8) <sup>2<\/sup> + (88 \u2013 85.8) <sup>2<\/sup> + \u104b . . + (82 \u2013 85.8) <sup>2<\/sup> + (81 \u2013 85.8) <sup>2<\/sup> = <strong>1292.8<\/strong> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038 ANOVA \u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/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<\/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<\/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<\/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<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\"><strong>\u1006\u1000\u103a\u1005\u1015\u103a-<\/strong> <a href=\"https:\/\/statorials.org\/my\/anova-f-value-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1010\u103d\u1004\u103a F-Value \u1014\u103e\u1004\u1037\u103a P-Value \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1015\u103c\u1014\u103a\u1006\u102d\u102f\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u1010\u1004\u103a\u1038\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102c \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u1031\u102c\u1037\u1016\u103a\u101d\u1032\u1021\u1019\u103b\u102c\u1038\u1005\u102f\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u101e\u1004\u1037\u103a\u1021\u1010\u103d\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u1031\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a ANOVA \u104f \u1000\u103c\u102e\u1038\u1000\u103b\u101a\u103a\u101e\u1031\u102c \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1019\u103e\u102c \u101b\u103e\u102c\u1038\u1015\u102b\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u102d\u102f\u1037\u101b\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103c\u102e\u1038\u1019\u103c\u1010\u103a\u101e\u1031\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1019\u100a\u103a\u1000\u1032\u1037\u101e\u102d\u102f\u1037 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u1000\u102d\u102f ANOVA \u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102d\u101b\u1014\u103a\u1000\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/b><\/span><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/one-way-anova-a-la-main\/\" target=\"_blank\" rel=\"noopener\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <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\/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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\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\u1019\u101b\u103e\u102d\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b ANOVA \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u1019\u103c\u1032\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u1037\u103a\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1019\u103e\u102f \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a Grand mean \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b \u101a\u1031\u1018\u1030\u101a\u103b\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = \u03a3x i \/n \u101b\u103d\u103e\u1031- x i : dataset \u1010\u103d\u1004\u103a i th observation n : \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u101b\u103e\u102d \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a Grand mean \u101e\u100a\u103a \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038 ANOVA \u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a\u1021\u1006\u102f\u1036\u1038\u101e\u1010\u103a\u101e\u100a\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u1037\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u101e\u100a\u103a \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a ANOVA \u104f \u1000\u103c\u102e\u1038\u1019\u103c\u1010\u103a\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 [&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 \u1010\u103d\u1004\u103a Grand Mean 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