{"id":525,"date":"2023-07-29T15:03:25","date_gmt":"2023-07-29T15:03:25","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-f-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7\/"},"modified":"2023-07-29T15:03:25","modified_gmt":"2023-07-29T15:03:25","slug":"%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-f-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-f-%e1%80%96%e1%80%bc%e1%80%94%e1%80%b7\/","title":{"rendered":"F distribution \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d confidence interval \u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <strong>\u104a \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub><\/strong> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1021\u1001\u103b\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u03c3 <sup>2<\/sup> <sub>1<\/sub> \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031 1 \u1014\u103e\u1004\u1037\u103a \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f 2 \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1019\u103e\u1014\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c\u101a\u1030\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f<\/a> \u101a\u1030\u1015\u103c\u102e\u1038 \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u104a <strong>s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup><\/strong> \u104a s <sub>1<\/sub> <sup>2<\/sup> \u1014\u103e\u1004\u1037\u103a s <sub>2<\/sub> <sup>2<\/sup> \u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c 1 \u1014\u103e\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a . 2 \u1021\u101e\u102e\u1038\u101e\u102e\u1038\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a s <sub>1<\/sub> <sup>2<\/sup> \u1014\u103e\u1004\u1037\u103a s <sub>2<\/sub> <sup>2 \u1000\u102d\u102f<\/sup> \u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n <sub>1<\/sub> \u1014\u103e\u1004\u1037\u103a n <sub>2<\/sub> \u104f \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1019\u103e \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u101e\u100a\u103a\u104a \u1014\u103e\u1005\u103a\u1001\u102f\u1005\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1019\u103e\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a \u1024\u1021\u1001\u103b\u102d\u102f\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f\u1019\u103e\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1004\u103a\u1038 \u1019\u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038 \u1021\u102c\u1038\u1000\u1031\u102c\u1004\u103a\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u1021\u1010\u103d\u1000\u103a <strong>(1-\u03b1) 100% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f<\/strong> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n <sub>1<\/sub> -1, n <sub>2<\/sub> -1, \u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n <sub>2<\/sub> -1, n <sub>1<\/sub> -1\u104a<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">F <sub>n <sub>2<\/sub> -1\u104a n <sub>1<\/sub> -1\u104a \u03b1\/2<\/sub> \u1014\u103e\u1004\u1037\u103a F <sub>n <sub>1<\/sub> -1\u104a n <sub>2<\/sub> -1\u104a<\/sub> <sub>\u03b1\/2<\/sub> <sub>&nbsp;<\/sub> \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u03b1 \u1021\u1006\u1004\u1037\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f F \u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u1021\u1010\u103d\u1000\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u1016\u103c\u1004\u1037\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101e\u101b\u102f\u1015\u103a\u1016\u1031\u102c\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1016\u103c\u1004\u1037\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\">Microsoft Excel \u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>R<\/em> \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u1031\u102c\u1037\u1016\u103a\u101d\u1032\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\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\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03b1<\/strong> = 0.05<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>1<\/sub><\/strong> = 16<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n2<\/sub><\/strong> = \u1041\u1041<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> <sup>2<\/sup><\/strong> = 28.2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>2<\/sub> <sup>2<\/sup><\/strong> = 19.3<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub><\/strong> \u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1014\u1036\u1015\u102b\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u103d\u1004\u103a \u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038 \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n1-1, n2-1,\u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n2-1, n1-1\u104a<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1015\u103b\u1031\u102c\u1000\u103a\u1014\u1031\u101e\u1031\u102c \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span> <span style=\"color: #000000;\">\u1000\u1036\u1000\u1031\u102c\u1004\u103a\u1038\u1011\u1031\u102c\u1000\u103a\u1019\u1005\u103d\u102c\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <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\">\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038 F<\/a> \u1010\u103d\u1004\u103a \u1024\u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">F <sub>n2-1\u104a n1-1\u104a \u03b1\/2<\/sub> = F <sub>10\u104a 15\u104a 0.025<\/sub> = <strong>3.0602<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">F <sub>n1-1\u104a n2-1\u104a<\/sub> <sub>\u03b1\/2<\/sub> = 1\/ F <sub>15\u104a 10\u104a 0.025<\/sub> = 1\/3.5217 = <strong>0.2839\u104a<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>(\u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1001\u103b\u1032\u1037\u1000\u103c\u100a\u1037\u103a\u101b\u1014\u103a \u1014\u103e\u102d\u1015\u103a\u1015\u102b)<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-489 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f2.5.png\" alt=\"\u1021\u101a\u103a\u1016\u102c\u1021\u1010\u103d\u1000\u103a F \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038 = 0.025\u104b\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1014\u1036\u1015\u102b\u1010\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1010\u103d\u1004\u103a \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u1015\u103c\u102e-<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n1-1, n2-1,\u03b1\/2<\/sub> \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> ) * F <sub>n2-1, n1-1\u104a<\/sub> <sub>\u03b1\/2<\/sub><\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">(28.2\/19.3) * (0.2839) \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 (28.2\/19.3) * (3.0602)\u104a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">0.4148 \u2264 \u03c3 <sup>2<\/sup> <sub>1<\/sub> \/ \u03c3 <sup>2<\/sup> <sub>2<\/sub> \u2264 4.4714\u104a<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a <strong>(0.4148\u104a 4.4714)<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Excel \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Confidence Interval \u1016\u1014\u103a\u1010\u102e\u1038\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1015\u102f\u1036\u101e\u100a\u103a Excel \u101b\u103e\u102d \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u104f \u1021\u1031\u102c\u1000\u103a\u1014\u103e\u1004\u1037\u103a\u1021\u1011\u1000\u103a \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u1031\u102c\u103a\u101c\u1036 E \u1010\u103d\u1004\u103a \u1015\u103c\u101e\u1011\u102c\u1038\u1015\u103c\u102e\u1038 \u1021\u1031\u102c\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1021\u1011\u1000\u103a\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\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\u1000\u102d\u102f \u1000\u1031\u102c\u103a\u101c\u1036 F \u1010\u103d\u1004\u103a \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a <strong>(0.4148\u104a 4.4714)<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101b\u101b\u103e\u102d\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>R \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a R \u1010\u103d\u1004\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define significance level, sample sizes, and sample variances\n<\/span>alpha &lt;- .05\nn1 &lt;- 16\nn2 &lt;- 11\nvar1 &lt;- 28.2\nvar2 &lt;- 19.3\n\n<span style=\"color: #008080;\">#define F critical values\n<\/span>upper_crit &lt;- 1\/qf(alpha\/2, n1-1, n2-1)\nlower_crit &lt;- qf(alpha\/2, n2-1, n1-1)\n\n<span style=\"color: #008080;\">#find confidence interval\n<\/span>lower_bound &lt;- (var1\/var2) * lower_crit\nupper_bound &lt;- (var1\/var2) * upper_crit\n\n<span style=\"color: #008080;\">#output confidence interval\n<\/span>paste0(\"(\", lower_bound, \", \", upper_bound, \" )\")\n\n#[1] \"(0.414899337980266, 4.47137571035219 )\"\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a <strong>(0.4148\u104a 4.4714)<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101b\u101b\u103e\u102d\u101e\u100a\u1037\u103a\u1021\u101b\u102c\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <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><\/h2>\n<p> <strong><a href=\"https:\/\/statorials.org\/my\/\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038-f\/\" target=\"_blank\" rel=\"noopener\">F \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1018\u102f\u1010\u103a\u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1016\u1010\u103a\u1019\u101c\u1032\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener\">Excel \u1010\u103d\u1004\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038 F \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u104a \u03c3 2 1 \/ \u03c3 2 2 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1021\u1001\u103b\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104a \u03c3 2 1 \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031 1 \u1014\u103e\u1004\u1037\u103a \u03c3 2 2 \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031 \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f 2 \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1019\u103e\u1014\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u101a\u1030\u1015\u103c\u102e\u1038 \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1001\u103b\u102d\u102f\u1038\u104a s 1 2 \/ s 2 2 \u104a s 1 2 \u1014\u103e\u1004\u1037\u103a 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>F Distribution - Statorials \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1010\u1005\u103a\u1001\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u101b\u1014\u103a F \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\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\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c-f-\u1016\u103c\u1014\u1037\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"F Distribution - Statorials \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u104f 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