{"id":3403,"date":"2023-07-17T16:31:52","date_gmt":"2023-07-17T16:31:52","guid":{"rendered":"https:\/\/statorials.org\/my\/2x4-factorial-%e1%80%92%e1%80%ae%e1%80%87%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8\/"},"modified":"2023-07-17T16:31:52","modified_gmt":"2023-07-17T16:31:52","slug":"2x4-factorial-%e1%80%92%e1%80%ae%e1%80%87%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/2x4-factorial-%e1%80%92%e1%80%ae%e1%80%87%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8\/","title":{"rendered":"\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036- 2\u00d74 factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>2 \u00d7 4 Factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038<\/strong> \u101e\u100a\u103a \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1021\u102c\u1038 \u1019\u103e\u102e\u1001\u102d\u102f\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1019\u100a\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1021\u1006\u1004\u1037\u103a<\/a> \u1014\u103e\u1005\u103a\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u101c\u1031\u1038\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28543 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_1.jpg\" alt=\"\" width=\"344\" height=\"260\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \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\u104f\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f (\u1021\u1014\u102d\u1019\u1037\u103a\u104a \u1021\u101c\u1010\u103a\u104a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038) \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 (\u1014\u1031\u1037\u1005\u1009\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1015\u1010\u103a\u1005\u1009\u103a) \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28544 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_2.jpg\" alt=\"\" width=\"324\" height=\"244\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c 2\u00d74 Factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1006\u1004\u1037\u103a\u1014\u103e\u1005\u103a\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1006\u1004\u1037\u103a\u101c\u1031\u1038\u1006\u1004\u1037\u103a\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c Variable \u1014\u1036\u1015\u102b\u1010\u103a 1-<\/strong> \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a<\/span>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038-<\/strong> \u1019\u101b\u103e\u102d\u104a \u1021\u1014\u102d\u1019\u1037\u103a\u104a \u1021\u101c\u1010\u103a\u104a \u1021\u1019\u103c\u1004\u1037\u103a<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u1036\u1015\u102b\u1010\u103a 2-<\/strong> \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031<\/span>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038-<\/strong> \u1014\u1031\u1037\u1005\u1009\u103a\u104a \u1021\u1015\u1010\u103a\u1005\u1009\u103a<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u104d \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>2\u00d74 factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u101b\u100a\u103a\u101b\u103d\u101a\u103a\u1001\u103b\u1000\u103a<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">2\u00d74 factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1015\u1004\u103a\u1019\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038-<\/strong> \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1019\u103e\u102e\u1001\u102d\u102f\u1014\u1031\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1015\u1031\u102b\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u101a\u1001\u1004\u103a\u1021\u1001\u103c\u1031\u1021\u1014\u1031\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\u1013\u102d\u1000\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u104f \u1021\u1013\u102d\u1000\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u104b<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1019\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u100a\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\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u1005\u103d\u102c\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u104f \u1021\u1013\u102d\u1000\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u104b<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">\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\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\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\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u104b<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\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\u1019\u103b\u102c\u1038-<\/strong> \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101e\u100a\u103a\u1021\u1001\u103c\u102c\u1038\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1021\u1006\u1004\u1037\u103a\u1021\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u101e\u1031\u102c\u1021\u1001\u102b\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\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\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u101a\u1001\u1004\u103a\u1021\u1001\u103c\u1031\u1021\u1014\u1031\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\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\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\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\u101e\u100a\u1037\u103a\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u1015\u102b\u101e\u101c\u102c\u1038\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u104f \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1019\u1030\u1010\u100a\u103a\u1015\u102b\u101e\u101c\u102c\u1038\u104b<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>2\u00d74 factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1014\u100a\u103a\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1019\u103e\u102e\u1001\u102d\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1004\u1037\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 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1010\u101b\u102c\u1038\u101d\u1004\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a <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 ANOVA \u1000\u102d\u102f<\/a> \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\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\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1000\u103a\u101b\u102f\u1036\u1010\u103d\u1004\u103a R \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#createdata\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (sunlight = rep(c(' <span style=\"color: #ff0000;\">None<\/span> ', ' <span style=\"color: #ff0000;\">Low<\/span> ', ' <span style=\"color: #ff0000;\">Medium<\/span> ', ' <span style=\"color: #ff0000;\">High<\/span> '), each= <span style=\"color: #008000;\">10<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 water = rep(c(' <span style=\"color: #ff0000;\">Daily<\/span> ', ' <span style=\"color: #ff0000;\">Weekly<\/span> '), each= <span style=\"color: #008000;\">40<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 growth = c(rnorm(10, 8, 2), rnorm(10, 8, 3), rnorm(10, 13, 2),\n                            rnorm(10, 14, 3), rnorm(10, 10, 4), rnorm(10, 12, 3),\n                            rnorm(10, 13, 2), rnorm(10, 14, 4)))\n\n<span style=\"color: #008080;\">#fit the two-way ANOVA model\n<\/span>model &lt;- aov(growth ~ sunlight * water, data = df)\n\n<span style=\"color: #008080;\">#view the model output\n<\/span>summary(model)\n\n                Df Sum Sq Mean Sq F value Pr(&gt;F)    \nsunlight 3 744.1 248.04 34.16 &lt; 2e-16 ***\nwater 1 43.1 43.05 5.93 0.016 *  \nsunlight:water 3 195.8 65.27 8.99 1.61e-05 ***\nResiduals 152 1103.5 7.26                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c ANOVA \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1015\u102f\u1036\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1015\u1004\u103a\u1019\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f #1 (\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a)<\/strong> &#8211; \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>&lt;2e-16<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\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\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\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\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1013\u102d\u1000\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f #2 (\u101b\u1031)<\/strong> : \u101b\u1031\u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u1031\u102c p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.016<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u1037\u103a\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u101e\u100a\u103a\u101c\u100a\u103a\u1038 \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\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\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\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<\/strong> &#8211; \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u101b\u1031\u1021\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>0.000061<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u101b\u1031\u1021\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\u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\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> <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 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1019\u103e\u102f\u1006\u102d\u102f\u1004\u103a\u101b\u102c \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\/2x2-\u1005\u1000\u103a\u101b\u102f\u1036\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\/\" 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- 2\u00d72 \u1005\u1000\u103a\u101b\u102f\u1036\u1021\u101c\u102f\u1015\u103a\u101b\u102f\u1036 \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/2x3-factorial-\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\/\" 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- 2 \u00d7 3 Factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/factorial-anova\/\" target=\"_blank\" rel=\"noopener\">Factorial ANOVA \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u00d7 4 Factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038 \u101e\u100a\u103a \u101e\u102f\u1010\u1031\u101e\u102e\u1019\u103b\u102c\u1038\u1021\u102c\u1038 \u1019\u103e\u102e\u1001\u102d\u102f\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u101b\u103e\u102d \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u1019\u100a\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u103d\u1004\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1006\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u103d\u1004\u103a \u1021\u1006\u1004\u1037\u103a\u101c\u1031\u1038\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \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\u104f\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f (\u1021\u1014\u102d\u1019\u1037\u103a\u104a \u1021\u101c\u1010\u103a\u104a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038) \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u1015\u1004\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 (\u1014\u1031\u1037\u1005\u1009\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1015\u1010\u103a\u1005\u1009\u103a) \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c 2\u00d74 Factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1006\u1004\u1037\u103a\u1014\u103e\u1005\u103a\u1006\u1004\u1037\u103a\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1021\u1006\u1004\u1037\u103a\u101c\u1031\u1038\u1006\u1004\u1037\u103a\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c Variable \u1014\u1036\u1015\u102b\u1010\u103a 1- \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a \u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038- \u1019\u101b\u103e\u102d\u104a \u1021\u1014\u102d\u1019\u1037\u103a\u104a \u1021\u101c\u1010\u103a\u104a [&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>\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036- 2x4 \u1005\u1000\u103a\u101b\u102f\u1036\u1001\u103d\u1032\u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038 - Statorials<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u102b\u1021\u101d\u1004\u103a 2x4 factorial \u1012\u102e\u1007\u102d\u102f\u1004\u103a\u1038\u1000\u102d\u102f 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