{"id":774,"date":"2023-07-28T19:28:17","date_gmt":"2023-07-28T19:28:17","guid":{"rendered":"https:\/\/statorials.org\/my\/anova-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2\/"},"modified":"2023-07-28T19:28:17","modified_gmt":"2023-07-28T19:28:17","slug":"anova-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/anova-%e1%80%80%e1%80%ad%e1%80%af-%e1%80%9c%e1%80%80%e1%80%ba%e1%80%96%e1%80%bc%e1%80%84%e1%80%b7%e1%80%ba-%e1%80%91%e1%80%95%e1%80%ba%e1%80%81%e1%80%ab%e1%80%90%e1%80%9c%e1%80%b2%e1%80%9c%e1%80%b2\/","title":{"rendered":"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"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1018\u102c\u101e\u102c\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \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\u1015\u102d\u102f\u101e\u1031\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\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\/anova-\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032-\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f ANOVA \u1000\u102d\u102f<\/strong><\/a> \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\u1010\u103d\u1004\u103a ANOVA \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038\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> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f \u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1005\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1000 \u101e\u102d\u1001\u103b\u1004\u103a\u1000\u103c\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1006\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u102d\u102f\u1037 \u101c\u1030\u1014\u102c\u1004\u102b\u1038\u1026\u1038\u104f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\u103a (\u1005\u1000\u1039\u1000\u1014\u1037\u103a\u1015\u102d\u102f\u1004\u103a\u1038) \u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\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-8449 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/repanovahand1.png\" alt=\"\" width=\"315\" height=\"145\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1014\u102c\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u101e\u100a\u103a \u1006\u1031\u1038\u101d\u102b\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u1031\u1038\u101d\u102b\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\u103a\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1010\u100a\u103a\u1038\u101e\u1031\u102c \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\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\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1- SST \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\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 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038 (SST) \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;\">SST = s <sup>2<\/sup> <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub> (n <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub> -1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup> <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub><\/strong> &#8211; \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub><\/strong> : \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1019\u103e\u102f\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 SST \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\u101e\u100a\u103a- (64.2667)(15-1) = <strong>899.7<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- SSB \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 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a (SSB) \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;\">SSB = \u03a3n <sub>j<\/sub> ( <span style=\"text-decoration: overline;\">x<\/span> <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub> ) <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>\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>n <sub>j<\/sub><\/strong> : j <sup>th<\/sup> \u1021\u102f\u1015\u103a\u1005\u102f\u101b\u103e\u102d \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 \u1005\u1031\u102c\u1004\u1037\u103a\u1000\u103c\u100a\u1037\u103a\u1019\u103e\u102f \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>j<\/sub><\/strong> : <sup>jth<\/sup> \u1021\u102f\u1015\u103a\u1005\u102f\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> <sub>\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/sub><\/strong> : \u1012\u1031\u1010\u102c\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 SSB \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\u101e\u100a\u103a- (5)(26.4-22.533) <sup>2<\/sup> +(5)(25.6-22.533) <sup>2<\/sup> + (5)(15.6-22.533) <sup>2<\/sup> = <strong>362.1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- SSS \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 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1018\u102c\u101e\u102c\u101b\u1015\u103a\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a (SSS) \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;\">SSS =(\u03a3r <sup>2<\/sup> <sub>k<\/sub> \/c) \u2013 (N <sup>2<\/sup> \/rc)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\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>r <sup>2<\/sup><\/strong> <sub>k<\/sub> : <sup>kth<\/sup> \u101c\u1030\u1014\u102c\u104f \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1000\u102d\u1014\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N-<\/strong> \u1012\u1031\u1010\u102c\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1000\u103c\u102e\u1038\u1000\u103b\u101a\u103a\u101e\u1031\u102c \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r:<\/strong> \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1030\u1014\u102c\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>c:<\/strong> \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u1016\u103d\u1032\u1037\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 SSS \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\u101e\u100a\u103a- ((74 <sup>2<\/sup> + 42 <sup>2<\/sup> + 62 <sup>2<\/sup> + 92 <sup>2<\/sup> + 68 <sup>2<\/sup> )\/3) \u2013 (338 <sup>2<\/sup> \/(5)(3)) = <strong>441.1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- SES \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 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1014\u103e\u1005\u103a\u1011\u1015\u103a\u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038 (SSE) \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;\">SSE = SST \u2013 SSB \u2013 SSS<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a SES \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- 899.7 \u2013 362.1 \u2013 441.1 = <strong>96.5<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 5- \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a SSB\u104a SSS \u1014\u103e\u1004\u1037\u103a SSE \u101b\u103e\u102d\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\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;\"> <span style=\"color: #000000;\"><strong>\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u1004\u103a\u1038 (SS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>df<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u103b\u102c\u1038 (MS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>F<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u1021\u1000\u103c\u102c\u1038<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1043\u1046\u1042.\u1041<\/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;\">181.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1045,\u1040\u1040\u1046<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>\u1018\u102c\u101e\u102c\u101b\u1015\u103a<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1044\u1044\u1041.\u1041<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1044<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1041\u1040.\u1043<\/span><\/td>\n<td><\/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;\">\u1049\u1046.\u1045<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1048<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">\u1041\u1042.\u1041<\/span><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>df \u1021\u1000\u103c\u102c\u1038-<\/strong> #groups \u2013 1 = 3 \u2013 1 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df \u1018\u102c\u101e\u102c\u101b\u1015\u103a-<\/strong> #participants \u2013 1 = 5 \u2013 1 = 4<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df \u1021\u1019\u103e\u102c\u1038-<\/strong> * df \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u102c = 2*4 = 8 \u1000\u103c\u102c\u1038 df<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u101d\u1004\u103a\u101e\u100a\u103a-<\/strong> SSB \/ df \u101d\u1004\u103a\u101b\u1031\u102c\u1000\u103a\u101e\u100a\u103a = 362.1 \/ 2 = 181.1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u1018\u102c\u101e\u102c\u101b\u1015\u103a-<\/strong> SSS \u1018\u102c\u101e\u102c\u101b\u1015\u103a \/ df = 441.1 \/ 4 = 110.3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS \u1021\u1019\u103e\u102c\u1038-<\/strong> SSE \u1021\u1019\u103e\u102c\u1038 \/ df = 96.5 \/ 8 = 12.1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F-<\/strong> MS \u101d\u1004\u103a\u101e\u100a\u103a \/ MS \u1021\u1019\u103e\u102c\u1038 = 181.1 \/ 12.1 = 15.006<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 6: \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;\">\u1024\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a F \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a <strong>15.006<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span> \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u101f\u102f\u1010\u103a\u1019\u101f\u102f\u1010\u103a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/f-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">F \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038<\/a> <span style=\"color: #000000;\">\u1010\u103d\u1004\u103a \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u101e\u100a\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c F \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a<\/span> <span style=\"color: #000000;\">&#8211;<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03b1 (\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a) = 0.05<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF1 (\u1015\u102d\u102f\u1004\u103a\u1038\u101d\u1031\u104f\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e) = df \u1021\u1000\u103c\u102c\u1038 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">DF2 (\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u1031\u104f\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e) = \u1021\u1019\u103e\u102c\u1038 df = 8<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">F \u104f \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103e\u102c <strong>4.459<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u101b\u103e\u102d F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a F \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038\u101b\u103e\u102d \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 F \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\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\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\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1018\u102c\u101e\u102c\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \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\u1015\u102d\u102f\u101e\u1031\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f ANOVA \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a ANOVA \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u100a\u103a\u1038\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- \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u1000\u102d\u102f \u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u100a\u103a\u104b \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1006\u1031\u1038\u101d\u102b\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1005\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1000 \u101e\u102d\u1001\u103b\u1004\u103a\u1000\u103c\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1006\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101e\u102d\u102f\u1037 \u101c\u1030\u1014\u102c\u1004\u102b\u1038\u1026\u1038\u104f \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\u103a (\u1005\u1000\u1039\u1000\u1014\u1037\u103a\u1015\u102d\u102f\u1004\u103a\u1038) \u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\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 \u101c\u1030\u1014\u102c\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u101e\u100a\u103a \u1006\u1031\u1038\u101d\u102b\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1006\u1031\u1038\u101d\u102b\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u1014\u103a\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1010\u100a\u103a\u1038\u101e\u1031\u102c \u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038 ANOVA \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\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>\u1011\u1015\u103a\u1001\u102b\u1010\u101c\u1032\u101c\u1032 \u1021\u1005\u102e\u1021\u1019\u1036 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\" 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