{"id":1303,"date":"2023-07-26T22:57:59","date_gmt":"2023-07-26T22:57:59","guid":{"rendered":"https:\/\/statorials.org\/my\/satterthwaite-%e1%80%a1%e1%80%94%e1%80%ae%e1%80%b8%e1%80%85%e1%80%95%e1%80%ba%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8\/"},"modified":"2023-07-26T22:57:59","modified_gmt":"2023-07-26T22:57:59","slug":"satterthwaite-%e1%80%a1%e1%80%94%e1%80%ae%e1%80%b8%e1%80%85%e1%80%95%e1%80%ba%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/satterthwaite-%e1%80%a1%e1%80%94%e1%80%ae%e1%80%b8%e1%80%85%e1%80%95%e1%80%ba%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8\/","title":{"rendered":"Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038- \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038<\/strong> \u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test \u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a &#8220; \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e&#8221;  \u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101c\u1030\u1025\u102e\u1038\u101b\u1031\u1014\u103e\u1004\u1037\u103a-\u1014\u1019\u1030\u1014\u102c-1\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/a> \u1006\u103d\u1032\u1011\u102f\u1010\u103a\u101e\u100a\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1019\u101a\u1030\u1006\u1018\u1032 \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u100a\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/welchs-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Welch&#8217;s t-test<\/a> \u1010\u103d\u1004\u103a \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\">Degrees of freedom:<\/span> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ {[(s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> ) <sup>2<\/sup> \/(n <sub>1<\/sub> \u2013 1)] + [(s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/(n <sub>2<\/sub> \u2013 1)]}<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> <sup>2<\/sup> , s <sub>2<\/sub> <sup>2<\/sup> :<\/strong> \u1015\u1011\u1019\u1014\u103e\u1004\u1037\u103a \u1012\u102f\u1010\u102d\u101a\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1021\u101e\u102e\u1038\u101e\u102e\u1038\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n1<\/sub> , <sub>n2<\/sub> :<\/strong> \u1015\u1011\u1019\u1014\u103e\u1004\u1037\u103a \u1012\u102f\u1010\u102d\u101a\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u104f \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u104a \u1021\u101e\u102e\u1038\u101e\u102e\u1038\u104b<\/span><\/li>\n<\/ul>\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\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u104f \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1015\u1004\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u101e\u100a\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\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 \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1021\u1015\u1004\u103a\u1019\u103b\u102c\u1038\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1021\u101b\u1015\u103a (\u101c\u1000\u103a\u1019\u1016\u103c\u1004\u1037\u103a) \u1000\u102d\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 1:<\/strong> 14\u104a 15\u104a 15\u104a 15\u104a 16\u104a 18\u104a 22\u104a 23\u104a 24\u104a 25\u104a 25<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c \u1042-<\/strong> \u1041\u1040\u104a \u1041\u1042\u104a \u1041\u1044\u104a \u1041\u1045\u104a \u1041\u1048\u104a \u1042\u1042\u104a \u1042\u1044\u104a \u1042\u1047\u104a \u1043\u1041\u104a \u1043\u1043\u104a \u1043\u1044\u104a \u1043\u1044\u104a \u1043\u1044<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103b\u102c\u1038\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x1<\/span> <sub>=<\/sub><\/strong> 19.27<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x2<\/span> <sub>=<\/sub><\/strong> 23.69<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> <sup>2<\/sup><\/strong> = 20.42<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>2<\/sub> <sup>2<\/sup><\/strong> = 83.23<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n1<\/strong> <sub><strong>=<\/strong><\/sub> 11<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n2<\/strong> = <sub><strong>\u1041\u1043<\/strong><\/sub><\/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 \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u104f\u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\">df = (s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ {[(s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> ) <sup>2<\/sup> \/(n <sub>1<\/sub> \u2013 1)] + [(s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ (n <sub>2<\/sub> \u2013 1)]} \n\ndf = (20.42\/11 + 83.23\/13) <sup>2<\/sup> \/{[(20.42\/11) <sup>2<\/sup> \/(11 \u2013 1)] + [(83.23\/13) <sup>2<\/sup> \/(13 \u2013 1)]} = 18.137<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u104f\u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1012\u102e\u1002\u101b\u102e\u101e\u100a\u103a <strong>18,137<\/strong> \u1016\u103c\u1005\u103a\u101c\u102c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1014\u102e\u1038\u1006\u102f\u1036\u1038\u1000\u102d\u1014\u103a\u1038\u1015\u103c\u100a\u1037\u103a\u101e\u102d\u102f\u1037 \u101d\u102d\u102f\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Welch&#8217;s t-test \u1010\u103d\u1004\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1019\u100a\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u101e\u100a\u103a <strong>18<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f 18 \u1012\u102e\u1002\u101b\u102e\u1021\u1010\u103d\u1000\u103a alpha = 0.05 \u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a t \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 <em>t<\/em> \u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1015\u102b\u1019\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/t_dist.png\" alt=\"\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038\u1007\u101a\u102c\u1038 T\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 t \u101e\u100a\u103a <strong>2.101<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\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\u104f \u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\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\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038-<\/strong> ( <span style=\"border-top: 1px solid black;\">x <sub>1<\/sub><\/span> \u2013 <span style=\"border-top: 1px solid black;\">x <sub>2<\/sub><\/span> ) \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038- (19.27 \u2013 23.69) \/ (\u221a <span style=\"border-top: 1px solid black;\">20.42\/11 + 83.23\/13<\/span> ) = -4.42 \/ 2.873 = <strong>-1.538<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038 (1.538) \u104f \u1015\u1000\u1010\u102d\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038 t \u1011\u1000\u103a\u1019\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 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a\u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u101e\u1004\u103a\u101e\u100a\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1001\u1032\u101a\u1009\u103a\u1038\u1015\u102b\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101a\u1004\u103a\u1038\u1021\u1005\u102c\u1038\u104a R\u104a Python\u104a Excel\u104a SAS \u1014\u103e\u1004\u1037\u103a Stata \u1000\u1032\u1037\u101e\u102d\u102f\u1037\u101e\u1031\u102c \u1018\u102f\u1036\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u1031\u102c\u1037\u1016\u103a\u101d\u1032\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u1004\u1037\u103a\u1021\u1010\u103d\u1000\u103a \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038-\u1041\/\" target=\"_blank\" rel=\"noopener\">Hypothesis Testing \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u101e\u1004\u103a\u104f\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u102d\u1010\u103a\u1006\u1000\u103a<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/welchs-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Welch t-test \u1000\u102d\u102f \u1019\u102d\u1010\u103a\u1006\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038 \u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test \u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a &#8220; \u1011\u102d\u101b\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e&#8221; \u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1006\u103d\u1032\u1011\u102f\u1010\u103a\u101e\u100a\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1019\u101a\u1030\u1006\u1018\u1032 \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101e\u100a\u1037\u103a Welch&#8217;s t-test \u1010\u103d\u1004\u103a \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104b Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Degrees of freedom: (s 1 2 \/n 1 + s 2 2 \/n 2 ) 2 \/ {[(s 1 2 \/n 1 ) 2 \/(n 1 \u2013 1)] + [(s [&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>Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038- \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/satterthwaite-\u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038- \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta 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class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/satterthwaite-%e1%80%a1%e1%80%94%e1%80%ae%e1%80%b8%e1%80%85%e1%80%95%e1%80%ba%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8\/\",\"url\":\"https:\/\/statorials.org\/my\/satterthwaite-%e1%80%a1%e1%80%94%e1%80%ae%e1%80%b8%e1%80%85%e1%80%95%e1%80%ba%e1%80%86%e1%80%af%e1%80%b6%e1%80%b8\/\",\"name\":\"Satterthwaite \u1021\u1014\u102e\u1038\u1005\u1015\u103a\u1006\u102f\u1036\u1038- \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-26T22:57:59+00:00\",\"dateModified\":\"2023-07-26T22:57:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a 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