{"id":1253,"date":"2023-07-27T03:10:19","date_gmt":"2023-07-27T03:10:19","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%90%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%90%e1%80%95%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8-f-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be\/"},"modified":"2023-07-27T03:10:19","modified_gmt":"2023-07-27T03:10:19","slug":"%e1%80%90%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%90%e1%80%95%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8-f-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%90%e1%80%85%e1%80%ad%e1%80%90%e1%80%ba%e1%80%90%e1%80%95%e1%80%ad%e1%80%af%e1%80%84%e1%80%ba%e1%80%b8-f-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%99%e1%80%be\/","title":{"rendered":"\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F-test \u1000\u102d\u102f<\/strong> <a href=\"https:\/\/statorials.org\/my\/multiple-linear-regression\/\" target=\"_blank\" rel=\"noopener noreferrer\">regression model<\/a> \u1014\u103e\u1004\u1037\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c model \u104f nested \u1017\u102c\u1038\u101b\u103e\u1004\u103a\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\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>nested<\/em> model \u101e\u100a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a regression model \u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c variable \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\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\u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u101c\u1031\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x <sub>1<\/sub> + \u03b2 <sub>2<\/sub> x <sub>2<\/sub> + \u03b2 <sub>3<\/sub> x <sub>3<\/sub> + \u03b2 <sub>4<\/sub> x <sub>4<\/sub> + \u03b5<\/span><\/p>\n<p> <span style=\"color: #000000;\">nested model \u104f\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1019\u1030\u101b\u1004\u103a\u1038\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u102c\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x <sub>1<\/sub> + \u03b2 <sub>2<\/sub> x <sub>2<\/sub> + \u03b5<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1005\u103d\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F-test \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Partial F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f- \u1021\u1001\u103c\u1031\u1001\u1036\u1021\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F-test \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b F-test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">F = (( RSS <sub>\u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u100a\u103a<\/sub> \u2013 <sub>Full<\/sub> RSS)\/p) \/ ( RSS <sub>\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036<\/sub> \/nk )<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>\u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u1031\u102c<\/sub> RSS<\/strong> \u2212 \u101c\u103b\u103e\u1031\u102c\u1037\u1011\u102c\u1038\u101e\u1031\u102c (\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u201cnested\u201d) \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1021\u1000\u103b\u1014\u103a\u1019\u103b\u102c\u1038\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSS <sub>full<\/sub><\/strong> : \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u104f \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1019\u103e \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n-<\/strong> \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1019\u103e\u102f\u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k-<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u101b\u103e\u102d \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038 (\u1000\u103c\u102c\u1038\u1016\u103c\u1010\u103a\u1005\u1014\u1005\u103a \u1021\u1015\u102b\u1021\u101d\u1004\u103a)\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1010\u103d\u1000\u103a\u1006\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u1019\u103e\u102c\u1038\u1021\u101a\u103d\u1004\u103a\u1038\u1021\u1001\u103b\u102d\u102f\u1037\u1000\u102d\u102f \u1021\u1019\u103c\u1032\u101c\u103b\u1031\u102c\u1037\u1015\u102b\u1038\u1005\u1031\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1000\u103a\u1000\u103b\u1014\u103a\u1005\u1010\u102f\u101b\u1014\u103a\u1038\u104f\u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1021\u1010\u103d\u1000\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038\u101e\u1031\u1038\u1004\u101a\u103a\u1014\u1031\u1019\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F-test \u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1019\u103e \u101e\u1004\u103a\u1016\u101a\u103a\u101b\u103e\u102c\u1038\u101c\u102d\u102f\u1000\u103a\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1019\u103b\u102c\u1038\u1021\u102f\u1015\u103a\u1005\u102f\u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u101e\u100a\u103a\u1000\u102d\u102f \u1021\u1001\u103c\u1031\u1001\u1036\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\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<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1019\u103e \u1016\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c coefficient \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u1015\u103c\u102e\u1038\u1015\u103c\u100a\u1037\u103a\u1005\u102f\u1036\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103e \u1016\u101a\u103a\u101b\u103e\u102c\u1038\u101c\u102d\u102f\u1000\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101e\u102f\u100a\u1019\u101f\u102f\u1010\u103a\u1015\u1031\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">F-test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c 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\u104a \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\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\u1038 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1019\u103e \u1016\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1014\u100a\u103a\u1038\u1006\u102f\u1036\u1038 coefficients \u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <strong>Partial F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f- \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u104a \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u1015\u103c\u102e\u1038 RSS <sub>\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036<\/sub> \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> nested regression model \u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u103c\u102e\u1038 <sub>\u101c\u103b\u103e\u1031\u102c\u1037<\/sub> RSS \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c F-test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u1015\u1031\u1038\u1019\u100a\u1037\u103a \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u1014\u103e\u1004\u1037\u103a \u101c\u103b\u103e\u1031\u102c\u1037\u1001\u103b\u1011\u102c\u1038\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a ANOVA \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\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\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a built-in <strong>mtcars<\/strong> dataset \u1019\u103e\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u101b\u103e\u102d \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u1036\u101d\u1004\u103a\u1001\u103d\u1004\u103a\u1000\u103b\u1016\u103c\u1005\u103a\u1015\u102f\u1036\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036-<\/strong> mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \u101b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a + \u03b2 <sub>2<\/sub> carb + \u03b2 <sub>3<\/sub> hp + \u03b2 <sub>4<\/sub> cyl<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u1031\u102c\u103a\u1012\u101a\u103a-<\/strong> \u1005\u102d\u102f\u1004\u103a\u1038\u1005\u102d\u102f\u1004\u103a\u1038\u1001\u1019\u103a\u1038\u101c\u103e\u102d\u102f\u1004\u103a = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \u101b\u101b\u103e\u102d\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c + \u03b2 <sub>2<\/sub> \u1000\u102c\u1017\u102d\u102f\u101f\u102d\u102f\u1000\u103a\u1012\u101b\u102d\u1010\u103a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit full model<\/span>\nmodel_full &lt;- lm(mpg ~ disp + carb + hp + cyl, data = mtcars)\n\n<span style=\"color: #008080;\">#fit reduced model\n<\/span>model_reduced &lt;- lm(mpg ~ disp + carb, data = mtcars)\n\n<span style=\"color: #008080;\">#perform ANOVA to test for differences in models\n<\/span>anova(model_reduced, model_full)\n\nAnalysis of Variance Table\n\nModel 1: mpg ~ available + carb\nModel 2: mpg ~ disp + carb + hp + cyl\n  Res.Df RSS Df Sum of Sq F Pr(&gt;F)\n1 29 254.82                           \n2 27 238.71 2 16.113 0.9113 0.414<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101b\u101c\u1012\u103a\u1019\u103e\u104a ANOVA \u104f F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u101e\u100a\u103a <strong>0.9113<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c p-value \u101e\u100a\u103a <strong>0.414<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 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\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c <em>hp<\/em> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a <em>cyl<\/em> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u100a\u1037\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\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<p> <span style=\"color: #000000;\">\u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a regression model \u101e\u102d\u102f\u1037 <em>hp<\/em> \u1014\u103e\u1004\u1037\u103a <em>cyl \u1000\u102d\u102f<\/em> \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a model fit \u1000\u102d\u102f \u101e\u102d\u101e\u102d\u101e\u102c\u101e\u102c \u1010\u102d\u102f\u1038\u1010\u1000\u103a\u1005\u1031\u1001\u103c\u1004\u103a\u1038 \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F-test \u1000\u102d\u102f regression model \u1014\u103e\u1004\u1037\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c model \u104f nested \u1017\u102c\u1038\u101b\u103e\u1004\u103a\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\u1015\u102b\u101e\u100a\u103a\u104b nested model \u101e\u100a\u103a \u101a\u1031\u1018\u102f\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a regression model \u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c variable \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \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\u1010\u103d\u1004\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a \u101c\u1031\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036 \u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b Y = \u03b2 0 + \u03b2 1 x 1 + \u03b2 2 x 2 + \u03b2 3 x 3 + \u03b2 [&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>\u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b - \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1010\u1005\u103a\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038 F \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1014\u102d\u1012\u102b\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a 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