{"id":3246,"date":"2023-07-18T11:58:30","date_gmt":"2023-07-18T11:58:30","guid":{"rendered":"https:\/\/statorials.org\/my\/anova-%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/"},"modified":"2023-07-18T11:58:30","modified_gmt":"2023-07-18T11:58:30","slug":"anova-%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/anova-%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/","title":{"rendered":"Anova models \u1021\u1010\u103d\u1000\u103a null hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/one-way-anova\/\" target=\"_blank\" rel=\"noopener\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f<\/a> \u101e\u102f\u1036\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\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 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> = \u03bc <sub>3<\/sub> = \u2026 = \u03bc <sub>k<\/sub> (\u1021\u102f\u1015\u103a\u1005\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u1015\u102b\u104b <sub>&nbsp;<\/sub> \u1021\u1014\u102c\u1038\u101a\u1030\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a ANOVA \u1007\u101a\u102c\u1038\u101b\u101c\u1012\u103a\u101b\u103e\u102d p-value \u1000\u102d\u102f \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">p-value \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a (\u1025\u1015\u1019\u102c 0.05) \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038-anova\/\" target=\"_blank\" rel=\"noopener\">\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u1000\u102d\u1014\u103a\u1038<\/a> \u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\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 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a (\u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036 &#8220; factors&#8221;  \u101f\u102f\u1001\u1031\u102b\u103a\u101e\u100a\u103a)\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u101e\u100a\u103a null hypotheses \u101e\u102f\u1036\u1038\u1001\u102f\u1000\u102d\u102f \u1010\u1005\u103a\u1015\u103c\u102d\u102f\u1004\u103a\u1014\u1000\u103a\u1010\u100a\u103a\u1038 \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u101f\u1030\u101e\u100a\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1015\u1011\u1019\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1014\u103a\u1038\u1010\u1030\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u101f\u1030\u101e\u100a\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1012\u102f\u1010\u102d\u101a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u1019\u101e\u1004\u1037\u103a \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a two-way ANOVA table \u104f\u101b\u101c\u1012\u103a\u1010\u103d\u1004\u103a p-values \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 ANOVA \u1014\u103e\u1004\u1037\u103a two-way ANOVA \u1010\u103d\u1004\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1019\u103e\u102f \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038 \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u101e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1024\u1021\u101b\u102c\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 30 \u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u1001\u103d\u1032\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u101b\u103e\u102d \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1010\u103d\u1000\u103a \u1015\u103c\u1004\u103a\u1006\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101e\u102f\u1036\u1038\u1015\u1010\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1019\u103e\u102f \u1015\u101b\u102d\u102f\u1002\u101b\u1019\u103a\u101e\u102f\u1036\u1038\u1001\u102f\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1014\u103a <a href=\"https:\/\/statorials.org\/my\/\u1000\u103b\u1015\u1014\u103a\u1038\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a-\u1000\u103b\u1015\u1014\u103a\u1038\u1010\u102c\u101d\u1014\u103a\u1015\u1031\u1038\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1000\u103b\u1015\u1014\u103a\u1038\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u100a\u103a<\/a> \u104b \u101e\u102f\u1036\u1038\u1015\u1010\u103a\u1021\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1010\u1030\u1010\u1030\u1016\u103c\u1031\u1006\u102d\u102f\u1000\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" alt=\"\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1012\u1031\u1010\u102c \u1014\u1019\u1030\u1014\u102c\" width=\"237\" height=\"246\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\/my\/\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1010\u100a\u103a\u1038-danova-\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<\/a> \u1011\u1032\u101e\u102d\u102f\u1037 \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101e\u1031\u102c\u1021\u1001\u102b\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b ANOVA \u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1021\u1011\u103d\u1000\u103a\u1021\u1016\u103c\u1005\u103a \u101c\u1000\u103a\u1001\u1036\u101b\u101b\u103e\u102d\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8260 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway4.png\" alt=\"ANOVA \u1021\u1011\u103d\u1000\u103a\u1007\u101a\u102c\u1038\u1000\u102d\u102f \u1018\u102c\u101e\u102c\u1015\u103c\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" width=\"374\" height=\"178\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a <strong>0.11385<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1011\u1030\u1038\u1025\u1015\u1019\u102c\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 null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\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>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> = \u03bc <sub>3<\/sub> (\u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u1015\u102b\u104b <sub>&nbsp;<\/sub> \u1021\u1014\u102c\u1038\u101a\u1030\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">ANOVA \u1007\u101a\u102c\u1038\u104f p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a 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;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u102f\u1015\u103a\u1005\u102f\u101e\u102f\u1036\u1038\u1005\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\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\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\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u101b\u102f\u1000\u1039\u1001\u1017\u1031\u1012\u1015\u100a\u102c\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101c\u103d\u103e\u1019\u103a\u1038\u1019\u102d\u102f\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u101e\u102d\u1001\u103b\u1004\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u1031\u1037\u1021\u1005\u1031\u1037 \u1044\u1040 \u1000\u102d\u102f \u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1015\u103c\u102e\u1038 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031 \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1000\u103c\u102c \u1000\u103c\u102e\u1038\u1011\u103d\u102c\u1038\u1005\u1031\u1015\u102b\u101e\u100a\u103a\u104b \u1014\u103e\u1005\u103a\u101c\u1000\u103c\u102c\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1001\u103b\u1004\u103a\u1038\u1005\u102e\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1000\u102d\u102f \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u1004\u103a\u101e\u100a\u103a\u104b \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1451 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova1.png\" sizes=\"\" srcset=\"\" alt=\"Excel \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1007\u101a\u102c\u1038\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1021\u1015\u1004\u103a\u1004\u102b\u1038\u1015\u1004\u103a\u1000\u102d\u102f \u1021\u1001\u103c\u1031\u1021\u1014\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1005\u102d\u102f\u1000\u103a\u1015\u103b\u102d\u102f\u1038\u1011\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1004\u102b\u1038\u1015\u1004\u103a\u1000\u102d\u102f \u1014\u1031\u1037\u1005\u1025\u103a\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1019\u101b\u103e\u102d\u101e\u1016\u103c\u1004\u1037\u103a \u1014\u103e\u1005\u103a\u101c\u1021\u1000\u103c\u102c\u1010\u103d\u1004\u103a \u1021\u1019\u103c\u1004\u1037\u103a\u1019\u103e\u102c \u1044.\u1048 \u101c\u1000\u103a\u1019\u104a \u1044.\u1044 \u101c\u1000\u103a\u1019\u104a \u1043.\u1042 \u101c\u1000\u103a\u1019\u104a \u1043.\u1049 \u101c\u1000\u103a\u1019\u1014\u103e\u1004\u1037\u103a \u1044.\u1044 \u101c\u1000\u103a\u1019\u104a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1453 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" sizes=\"\" srcset=\"\" alt=\"Excel \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1012\u1031\u1010\u102c\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u1030\u1019\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/bidirectional-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel \u1010\u103d\u1004\u103a \u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f<\/a> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u103c\u102e\u1038 \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101b\u101c\u1012\u103a\u1000\u102d\u102f \u101b\u101b\u103e\u102d\u101e\u100a\u103a \u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27520 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovaa.jpg\" alt=\"\" width=\"605\" height=\"159\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u103e\u1005\u103a\u101c\u1019\u103a\u1038 ANOVA \u1007\u101a\u102c\u1038\u101b\u101c\u1012\u103a\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.975975<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>3.9E-8 (0.000000039)<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1014\u103e\u1004\u1037\u103a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1000\u103c\u102c\u1038 \u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.310898<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1021\u1019\u103c\u1004\u1037\u103a\u1021\u1015\u1031\u102b\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038\u101e\u1031\u102c\u1021\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1015\u103c\u1014\u103a\u1021\u101c\u103e\u1014\u103a\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1001\u103c\u100a\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u1000\u103c\u102d\u1019\u103a\u101b\u1031\u1021\u1006\u1004\u1037\u103a\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1010\u101e\u1019\u1010\u103a\u1010\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a \u1021\u1015\u1004\u103a\u1010\u1005\u103a\u1015\u1004\u103a\u1000\u102d\u102f \u1014\u1031\u1037\u1005\u1009\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u1015\u1010\u103a\u1005\u1009\u103a \u101b\u1031\u101c\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1014\u1031\u101b\u1031\u102c\u1004\u103a\u1011\u102d\u1010\u103d\u1031\u1037\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1015\u1004\u103a\u1021\u1015\u1031\u102b\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1019\u101b\u103e\u102d\u1015\u1031\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><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> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/anova-f-value-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1010\u103d\u1004\u103a F \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a P \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1005\u1010\u102f\u101b\u1014\u103a\u1038-anova-\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1010\u103d\u1004\u103a \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c-f-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c-\u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1000\u102d\u102f-\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u1014\u100a\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">ANOVA \u1010\u103d\u1004\u103a \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c F \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101f\u1030\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u1000\u102d\u102f \u101e\u102f\u1036\u1038\u101e\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u101e\u1031\u102c\u1021\u102f\u1015\u103a\u1005\u102f\u1019\u103b\u102c\u1038\u104f \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\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 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u101e\u103d\u102c\u1038 ANOVA \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a- H 0 : \u03bc 1 = \u03bc 2 = \u03bc 3 = \u2026 = \u03bc k (\u1021\u102f\u1015\u103a\u1005\u102f\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a) H A : \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 \u1021\u102f\u1015\u103a\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u1015\u102b\u104b &nbsp; \u1021\u1014\u102c\u1038\u101a\u1030\u1015\u102b\u104b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a [&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>ANOVA Models - Statorials \u1021\u1010\u103d\u1000\u103a Null Hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1021\u1015\u102b\u1021\u101d\u1004\u103a ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a null hypothesis \u104f \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\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\/anova-\u1021\u1010\u103d\u1000\u103a-null-\u1021\u101a\u1030\u1021\u1006\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA Models - Statorials \u1021\u1010\u103d\u1000\u103a Null Hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038\u104b\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1021\u1015\u102b\u1021\u101d\u1004\u103a ANOVA \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a null hypothesis \u104f \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/anova-\u1021\u1010\u103d\u1000\u103a-null-\u1021\u101a\u1030\u1021\u1006\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-18T11:58:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n<script type=\"application\/ld+json\" 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