{"id":2478,"date":"2023-07-22T02:30:20","date_gmt":"2023-07-22T02:30:20","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-bidirectional-anova\/"},"modified":"2023-07-22T02:30:20","modified_gmt":"2023-07-22T02:30:20","slug":"%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-bidirectional-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-bidirectional-anova\/","title":{"rendered":"\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 anova \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><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 \u1000\u102d\u102f \u1021\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a<\/a> \u1001\u103d\u1032\u1015\u103c\u102e\u1038 \u1001\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1019\u1000\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \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\u1001\u103b\u1000\u103a\u101b\u103e\u102d\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;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u1025\u1015\u1019\u102c- \u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038 ANOVA<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u101b\u102f\u1000\u1039\u1001\u1017\u1031\u1012\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101c\u103d\u103e\u1019\u103a\u1038\u1019\u102d\u102f\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u101e\u102d\u1001\u103b\u1004\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u101e\u1030\u1019\u101e\u100a\u103a \u1021\u1005\u1031\u1037 \u1044\u1040 \u1000\u102d\u102f \u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1015\u103c\u102e\u1038 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101c\u1000\u103c\u102c \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1010\u1005\u103a\u101c\u1000\u103c\u102c\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u101e\u100a\u103a\u104b \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1451 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova1.png\" sizes=\"\" srcset=\"\" alt=\"Excel \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u1004\u103a\u1004\u102b\u1038\u1015\u1004\u103a\u1000\u102d\u102f \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1011\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1004\u102b\u1038\u1015\u1004\u103a\u1000\u102d\u102f \u1014\u1031\u1037\u1005\u1025\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1019\u101b\u103e\u102d\u101e\u1016\u103c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u101c\u1021\u1000\u103c\u102c\u1010\u103d\u1004\u103a \u1021\u1019\u103c\u1004\u1037\u103a\u1019\u103e\u102c \u1044.\u1048 \u101c\u1000\u103a\u1019\u104a \u1044.\u1044 \u101c\u1000\u103a\u1019\u104a \u1043.\u1042 \u101c\u1000\u103a\u1019\u104a \u1043.\u1049 \u101c\u1000\u103a\u1019\u1014\u103e\u1004\u1037\u103a \u1044.\u1044 \u101c\u1000\u103a\u1019\u104a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1453 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" sizes=\"\" srcset=\"\" alt=\"Excel \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1012\u1031\u1010\u102c\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038 ANOVA \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\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\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1- \u1015\u1011\u1019\u1021\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b (\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1021\u1015\u1004\u103a \u1044\u1040 \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = (4.8 + 5 + 6.4 + 6.3 + \u2026 + 3.9 + 4.8 + 5.5 + 5.5) \/ 40 = <strong>5.1525<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1014\u1031\u1037\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u1037\u1005\u1009\u103a\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = (4.8 + 5 + 6.4 + 6.3 + \u2026 + 4.4 + 4.8 + 5.8 + 5.8) \/20 = <strong>5.155<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u1000\u103a\u101c\u1000\u103a\u104d \u1010\u1005\u103a\u1015\u1010\u103a\u101c\u103b\u103e\u1004\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1015\u1010\u103a\u1005\u1009\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = (4.4 + 4.9 + 5.8 + 6 + \u2026 + 3.9 + 4.8 + 5.5 + 5.5) \/20 = <strong>5.15<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d &#8220; \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038&#8221;  \u1000\u102d\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3n(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>\u1042<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u1021\u102f\u1015\u103a\u1005\u102f j \u104f \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : &#8220; \u1015\u1031\u102b\u1004\u103a\u1038&#8221;  \u101f\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u101b\u101e\u1031\u102c \u1002\u101b\u102d\u101e\u1004\u103a\u1039\u1000\u1031\u1010<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : \u1021\u102f\u1015\u103a\u1005\u102f j \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e<\/span><\/li>\n<\/ul>\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 &#8220; \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038&#8221;  \u1000\u102d\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\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\u1015\u102b\u101e\u100a\u103a- 20(5.155-5.1525) <sup>2<\/sup> + 20(5.15-5.1525) <sup>2<\/sup> = <strong>0.00025<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u1012\u102f\u1010\u102d\u101a\u1021\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a (\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f) \u1021\u1010\u103d\u1000\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1021\u1015\u1004\u103a \u1044\u1040 \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = (4.8 + 5 + 6.4 + 6.3 + \u2026 + 3.9 + 4.8 + 5.5 + 5.5) \/ 40 = <strong>5.1525<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1014\u1031\u1014\u103e\u1004\u1037\u103a\u1019\u1011\u102d\u1010\u103d\u1031\u1037\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u1019\u1015\u102b\u1010\u1032\u1037 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = (4.8 + 4.4 + 3.2 + 3.9 + 4.4 + 4.4 + 4.2 + 3.8 + 3.7 + 3.9) \/ 10 = <strong>4.07<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u1031\u102c \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a \u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1012\u100f\u103a\u1001\u1036\u101b\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1024\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1011\u1015\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e = <strong>\u1045.\u1041<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a = <strong>5.89<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a = <strong>5.55<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d &#8220; \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f&#8221;  \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3n(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>\u1042<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u1021\u102f\u1015\u103a\u1005\u102f j \u104f \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : &#8220; \u1015\u1031\u102b\u1004\u103a\u1038&#8221;  \u101f\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u101b\u101e\u1031\u102c \u1002\u101b\u102d\u101e\u1004\u103a\u1039\u1000\u1031\u1010<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : \u1021\u102f\u1015\u103a\u1005\u102f j \u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e<\/span><\/li>\n<\/ul>\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 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 &#8220; \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f&#8221;  \u1000\u102d\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a- 10(4.07-5.1525) <sup>2<\/sup> + 10(5.1-5.1525) <sup>2<\/sup> + 10(5.89 -5.1525) <sup>2<\/sup> + 10(5.55-5.1525) <sup>2<\/sup> = <strong>18.76475<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b (\u1021\u1019\u103e\u102c\u1038)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u101b\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1021\u1019\u103c\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1019\u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u101a\u1030\u1015\u103c\u102e\u1038 \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1014\u1031\u1037\u1005\u1025\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u101e\u100a\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u1019\u1011\u102d\u1010\u103d\u1031\u1037\u1018\u1032 4.14 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038\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<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u1037\u1005\u1025\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a SS : (4.8-4.14) <sup>2<\/sup> + (4.4-4.14) <sup>2<\/sup> + (3.2-4.14) <sup>2<\/sup> + (3.9-4.14) <sup>2<\/sup> + (4.4-4.14) <sup>2<\/sup> = <strong>1.512<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1024\u101c\u102f\u1015\u103a\u1004\u1014\u103a\u1038\u1005\u1009\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1015\u103c\u1014\u103a\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u1037\u1005\u1025\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u100a\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a SS- <strong>0.928<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u1037\u1005\u1009\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1021\u1010\u103d\u1000\u103a SS: <strong>1,788<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u1037\u1005\u1009\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1015\u103c\u1004\u103a\u1038\u1011\u1014\u103a\u101e\u1031\u102c\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1021\u1010\u103d\u1000\u103a SS- <strong>1.648<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u1019\u1040\u1004\u103a\u1018\u1032 \u1021\u1015\u1010\u103a\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101b\u1014\u103a SS: <strong>0.34<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1010\u103a\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u100a\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a SS- <strong>0.548<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1010\u103a\u1005\u1009\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1021\u1010\u103d\u1000\u103a SS &#8211; <strong>0.652<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1010\u103a\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1015\u103c\u1004\u103a\u1038\u1011\u1014\u103a\u101e\u1031\u102c \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1021\u1010\u103d\u1000\u103a SS &#8211; <strong>1,268<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f\u101b\u103e\u102c\u101b\u1014\u103a (\u1021\u1019\u103e\u102c\u1038)\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1010\u103d\u1004\u103a\u1038 \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1019\u103b\u102c\u1038 = 1.512 + 0.928 + 1.788 + 1.648 + 0.34 + 0.548 + 0.652 + 1.268 = <strong>8.684<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038 \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102e\u1038\u1000\u103b\u101a\u103a\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u101a\u1030\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \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\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\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 = (4.8 \u2013 5.1525) <sup>2<\/sup> + (5 \u2013 5.1525) <sup>2<\/sup> + \u2026 + (5.5 \u2013 5.1525) <sup>2<\/sup> = <strong>28.45975<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 5- \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\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 \u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f SS = SS \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u2013 SS Factor 1 \u2013 SS Factor 2 \u2013 SS \u1021\u1010\u103d\u1004\u103a\u1038\u1001\u1014\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">SS \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f = 28.45975 \u2013 0.00025 \u2013 18.76475 \u2013 8.684<\/span><\/li>\n<li> <span style=\"color: #000000;\">SS \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a = <strong>1.01075<\/strong><\/span><\/li>\n<\/ul>\n<p> <strong><span style=\"color: #000000;\">\u1021\u1006\u1004\u1037\u103a 6: ANOVA \u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1021\u1015\u103c\u102e\u1038\u101e\u1010\u103a\u1015\u102b\u104b<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\u1019\u103e \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u1015\u102b\u1019\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22156 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/two_way_hand.png\" alt=\"\" width=\"508\" height=\"184\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1007\u101a\u102c\u1038\u101b\u103e\u102d \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102f\u1036\u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>df \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031-<\/strong> d-1 = 2-1 = 1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df Sun exposure:<\/strong> k-1 = 4-1 = 3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>dfInteraction<\/strong> : (j-1)*(k-1) = 1*3 = 3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df In<\/strong> : n \u2013 (j*k) = 40 \u2013 (2*4) = 32<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 df:<\/strong> n-1 = 40-1 = 39<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS-<\/strong> SS\/DF<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 F<\/strong> : \u1021\u102d\u1019\u103a\u1010\u103d\u1004\u103a\u1038 MS\/MS \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f<\/strong> : MS \/ MS \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a \u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f \u1021\u102d\u1019\u103a\u1010\u103d\u1004\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f F<\/strong> : \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f MS \/ MS \u1021\u1010\u103d\u1004\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-value \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031<\/strong> : \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031 df = 1 \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031 df = 32 \u104f F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 0.000921 \u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/strong> : \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031 df = 3 \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031 df = 32 \u104f F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 23.04898 \u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f<\/strong> &#8211; \u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031 df = 3 \u1014\u103e\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031 df = 32 \u1014\u103e\u1004\u1037\u103a 1.241517 \u104f F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a #1-<\/strong> n = \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104a j = \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1021\u1006\u1004\u1037\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104a k = \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1006\u1004\u1037\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a #2<\/strong> : F-value \u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u1031\u102c p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f <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 calculator \u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 7- \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u1019\u103e \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1014\u103e\u1004\u1037\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1000\u103c\u102c\u1038 \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.311<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u03b1 = 0.05 \u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.975<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u03b1 = 0.05 \u1010\u103d\u1004\u103a \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 \u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>&lt;0.000<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u03b1 = 0.05 \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\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1021\u1019\u103c\u1004\u1037\u103a\u1021\u1015\u1031\u102b\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c\u1021\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u104f\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101e\u1019\u1010\u103a\u1010\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1000\u102d\u102f \u1014\u1031\u1037\u1005\u1009\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1015\u1010\u103a\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1021\u1015\u1031\u102b\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u1031\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 ANOVA \u1019\u103b\u102c\u1038\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \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-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\/anova-\u1000\u102d\u102f-\u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1021\u1005\u102e\u1021\u1019\u1036\u1019\u103b\u102c\u1038\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\/bidirectional-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- \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1021\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u103b\u1000\u103a \u1001\u103d\u1032\u1015\u103c\u102e\u1038 \u1001\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1019\u1000\u101e\u1031\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \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\u1001\u103b\u1000\u103a\u101b\u103e\u102d\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 \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c- \u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038 ANOVA \u101b\u102f\u1000\u1039\u1001\u1017\u1031\u1012\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101c\u103d\u103e\u1019\u103a\u1038\u1019\u102d\u102f\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u101e\u102d\u1001\u103b\u1004\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u101e\u1030\u1019\u101e\u100a\u103a \u1021\u1005\u1031\u1037 \u1044\u1040 \u1000\u102d\u102f \u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1015\u103c\u102e\u1038 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1010\u1005\u103a\u101c\u1000\u103c\u102c \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u101c\u1000\u103c\u102c\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u101e\u100a\u103a\u104b \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u1004\u103a\u1004\u102b\u1038\u1015\u1004\u103a\u1000\u102d\u102f \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1011\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u101e\u100a\u103a\u104b [&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>\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038 ANOVA - Statology \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a 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