{"id":2242,"date":"2023-07-23T02:52:08","date_gmt":"2023-07-23T02:52:08","guid":{"rendered":"https:\/\/statorials.org\/my\/logistic-regression-%e1%81%8f-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/"},"modified":"2023-07-23T02:52:08","modified_gmt":"2023-07-23T02:52:08","slug":"logistic-regression-%e1%81%8f-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\/logistic-regression-%e1%81%8f-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/","title":{"rendered":"Logistic regression \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;\"><a href=\"https:\/\/statorials.org\/my\/\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener\">Logistic regression<\/a> \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u1030 variable \u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c-\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable binary \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable<\/a> \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1019\u103b\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u101a\u103a\u104d \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\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <strong>\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>log[p(X) \/ (1-p(X))] = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u104f\u100a\u102c\u1018\u1000\u103a\u101b\u103e\u102d \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038 1 \u1000\u102d\u102f\u101a\u1030\u101e\u100a\u1037\u103a \u1021\u101c\u1031\u1038\u101e\u102c\u1019\u103b\u102c\u1038\u104f \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\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<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03b2 <sub>1<\/sub> = 0<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03b2 <sub>1<\/sub> \u2260 0<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">null hypothesis \u1010\u103d\u1004\u103a coefficient \u03b2 <sub>1<\/sub> \u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a x \u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a y \u1010\u102d\u102f\u1037\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\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 \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000 \u03b2 <sub>1<\/sub> \u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a <em>\u1019\u100a\u102e\u1019\u103b\u103e<\/em> \u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a x \u1014\u103e\u1004\u1037\u103a y \u1021\u1000\u103c\u102c\u1038 \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 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f <em>\u101b\u103e\u102d\u101e\u100a\u103a<\/em> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\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\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <strong>\u1019\u103b\u102c\u1038\u1015\u103c\u102c\u1038\u101c\u103e\u101e\u1031\u102c logistic regression \u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">log[p(X) \/ (1-p(X))] = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> x <sub>1<\/sub> + \u03b2 <sub>2<\/sub> x <sub>2<\/sub> + \u2026 + \u03b2 <sub>k<\/sub> x <sub>k<\/sub><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Multiple logistic regression \u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038 hypotheses \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03b2 <sub>1<\/sub> = \u03b2 <sub>2<\/sub> = \u2026 = \u03b2 <sub>k<\/sub> = 0<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03b2 <sub>1<\/sub> = \u03b2 <sub>2<\/sub> = \u2026 = \u03b2 <sub>k<\/sub> \u2260 0<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">null hypothesis \u1010\u103d\u1004\u103a model \u101b\u103e\u102d coefficient \u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u101e\u100a\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a \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\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a y \u1014\u103e\u1004\u1037\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 \u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1015\u1031\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000 \u1016\u1031\u102c\u103a\u1000\u102d\u1014\u103a\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u1010\u1015\u103c\u102d\u102f\u1004\u103a\u1014\u1000\u103a\u1010\u100a\u103a\u1038\u1019\u101f\u102f\u1010\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\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 \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c logistic regression \u1014\u103e\u1004\u1037\u103a multiple logistic regression model \u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a\u104a<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001\u1010\u1005\u103a\u101a\u1031\u102c\u1000\u103a\u1000 \u101e\u1030\u1037\u1021\u1010\u1014\u103a\u1038\u1011\u1032\u1000 \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u103d\u1031 \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u101a\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1006\u1004\u1037\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1016\u102d\u102f\u1037 \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u1010\u1032\u1037 \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u102d\u102f\u1010\u101a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 20 \u1011\u1036\u1019\u103e \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c logistic regression model \u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a R \u1010\u103d\u1004\u103a\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#createdata\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (result=c(0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1),\n                 hours=c(1, 5, 5, 1, 2, 1, 3, 2, 2, 1, 2, 1, 3, 4, 4, 2, 1, 1, 4, 3))\n\n<span style=\"color: #008080;\">#fit simple logistic regression model\n<\/span>model &lt;- glm(result~hours, family=' <span style=\"color: #ff0000;\">binomial<\/span> ', data=df)\n\n<span style=\"color: #008080;\">#view summary of model fit\n<\/span>summary(model)\n\nCall:\nglm(formula = result ~ hours, family = \"binomial\", data = df)\n\nDeviance Residuals: \n    Min 1Q Median 3Q Max  \n-1.8244 -1.1738 0.7701 0.9460 1.2236  \n\nCoefficients:\n            Estimate Std. Error z value Pr(&gt;|z|)\n(Intercept) -0.4987 0.9490 -0.526 0.599\nhours 0.3906 0.3714 1.052 0.293\n\n(Dispersion parameter for binomial family taken to be 1)\n\n    Null deviance: 26,920 on 19 degrees of freedom\nResidual deviance: 25,712 on 18 degrees of freedom\nAIC: 29,712\n\nNumber of Fisher Scoring iterations: 4\n\n<span style=\"color: #008080;\">#calculate p-value of overall Chi-Square statistic\n<\/span>1-pchisq(26.920-25.712, 19-18)\n\n[1] 0.2717286\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a\u1014\u102c\u101b\u102e\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u1019\u103e\u1010\u103a\u1021\u1000\u103c\u102c\u1038 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1010\u103a\u1021\u101b \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d\u1000\u102d\u102f \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 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f chi-square \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u1031\u102c p-value \u1000\u102d\u102f \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 Chi-square \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">X <sup>2<\/sup> = (\u101e\u102f\u100a\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f \u2013 \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f) \/ (\u101e\u102f\u100a Df \u2013 \u1000\u103b\u1014\u103a\u101b\u103e\u102d\u101e\u1031\u102c Df)<\/span><\/p>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a <strong>0.2717286<\/strong> \u1016\u103c\u1005\u103a\u101e\u103d\u102c\u1038\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\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a \u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a \u1014\u102c\u101b\u102e\u1014\u103e\u1004\u1037\u103a \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 \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 \u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f \u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1015\u101b\u1031\u102c\u103a\u1016\u1000\u103a\u1006\u102c\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1021\u1010\u1014\u103a\u1038\u1011\u1032\u1010\u103d\u1004\u103a \u1021\u1010\u1014\u103a\u1038\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1019\u103b\u102c\u1038 \u101d\u1004\u103a\u1004\u103d\u1031\u101b\u101b\u103e\u102d\u1019\u100a\u103a\u101f\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1015\u102b\u1019\u1031\u102c\u1000\u1039\u1001\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a \u1014\u102c\u101b\u102e\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u101e\u100a\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038 20 \u1011\u1036\u1019\u103e \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u103c\u102e\u1038 \u1019\u103b\u102d\u102f\u1038\u1005\u102f\u1036\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u101e\u1031\u102c logistic regression model \u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101b\u1014\u103a R \u1010\u103d\u1004\u103a\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u1000\u102d\u102f\u101e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (result=c(0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1),\n                 hours=c(1, 5, 5, 1, 2, 1, 3, 2, 2, 1, 2, 1, 3, 4, 4, 2, 1, 1, 4, 3),\n                 exams=c(1, 2, 2, 1, 2, 1, 1, 3, 2, 4, 3, 2, 2, 4, 4, 5, 4, 4, 3, 5))\n\n<span style=\"color: #008080;\">#fit simple logistic regression model\n<\/span>model &lt;- glm(result~hours+exams, family=' <span style=\"color: #ff0000;\">binomial<\/span> ', data=df)\n\n<span style=\"color: #008080;\">#view summary of model fit\n<\/span>summary(model)\n\nCall:\nglm(formula = result ~ hours + exams, family = \"binomial\", data = df)\n\nDeviance Residuals: \n    Min 1Q Median 3Q Max  \n-1.5061 -0.6395 0.3347 0.6300 1.7014  \n\nCoefficients:\n            Estimate Std. Error z value Pr(&gt;|z|)  \n(Intercept) -3.4873 1.8557 -1.879 0.0602 .\nhours 0.3844 0.4145 0.927 0.3538  \nexams 1.1549 0.5493 2.103 0.0355 *\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\n(Dispersion parameter for binomial family taken to be 1)\n\n    Null deviance: 26,920 on 19 degrees of freedom\nResidual deviance: 19,067 on 17 degrees of freedom\nAIC: 25,067\n\nNumber of Fisher Scoring iterations: 5\n\n<span style=\"color: #008080;\">#calculate p-value of overall Chi-Square statistic\n<\/span>1-pchisq(26.920-19.067, 19-17)\n\n[1] 0.01971255\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038 Chi-square \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.01971255<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a 0.05 \u1011\u1000\u103a\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\u1015\u102b\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a \u1016\u103c\u1031\u1006\u102d\u102f\u1001\u1032\u1037\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102d\u102f\u1010\u1004\u103a\u1015\u103c\u1004\u103a\u1006\u1004\u103a\u1019\u103e\u102f\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u103d\u1004\u103a\u101b\u101b\u103e\u102d\u101e\u1031\u102c \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1021\u1006\u1004\u1037\u103a\u1000\u103c\u102c\u1038\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\u1031\u102c \u1006\u1000\u103a\u1006\u1036\u101b\u1031\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <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 \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\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\/\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener\">Logistic Regression \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f-\u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1005\u102e\u101b\u1004\u103a\u1001\u1036\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a-\u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">Logistic regression vs linear regression- \u1021\u1013\u102d\u1000\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Logistic regression \u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102f \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1010\u1005\u103a\u1001\u102f\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u1030 variable \u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable binary \u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f variable \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1019\u103b\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1000\u101a\u103a\u104d \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\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u102c\u101b\u103e\u102d\u101c\u103b\u103e\u1004\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u101b\u103e\u102d\u1006\u1000\u103a\u1005\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- log[p(X) \/ (1-p(X))] = \u03b2 0 + \u03b2 1 \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u104f\u100a\u102c\u1018\u1000\u103a\u101b\u103e\u102d \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038 1 \u1000\u102d\u102f\u101a\u1030\u101e\u100a\u1037\u103a \u1021\u101c\u1031\u1038\u101e\u102c\u1019\u103b\u102c\u1038\u104f \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1015\u1031\u1038\u101e\u100a\u103a\u104b \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\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 [&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>Logistic Regression \u1021\u1010\u103d\u1000\u103a Null Hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038 - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u1000\u103b\u1030\u1010\u102d\u102f\u101b\u102e\u101b\u101a\u103a\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a \u1011\u1031\u102c\u1000\u103a\u101c\u103e\u1019\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a null hypothesis \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\/logistic-regression-\u104f-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=\"Logistic Regression \u1021\u1010\u103d\u1000\u103a Null Hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038 - Statology\" \/>\n<meta property=\"og:description\" content=\"\u1024\u1000\u103b\u1030\u1010\u102d\u102f\u101b\u102e\u101b\u101a\u103a\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a \u1011\u1031\u102c\u1000\u103a\u101c\u103e\u1019\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a null hypothesis \u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/logistic-regression-\u104f-null-\u1021\u101a\u1030\u1021\u1006\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T02:52:08+00:00\" \/>\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\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/logistic-regression-%e1%81%8f-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/\",\"url\":\"https:\/\/statorials.org\/my\/logistic-regression-%e1%81%8f-null-%e1%80%a1%e1%80%9a%e1%80%b0%e1%80%a1%e1%80%86\/\",\"name\":\"Logistic Regression \u1021\u1010\u103d\u1000\u103a Null Hypothesis \u1000\u102d\u102f \u1014\u102c\u1038\u101c\u100a\u103a\u1001\u103c\u1004\u103a\u1038 - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-23T02:52:08+00:00\",\"dateModified\":\"2023-07-23T02:52:08+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u1000\u103b\u1030\u1010\u102d\u102f\u101b\u102e\u101b\u101a\u103a\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a \u1011\u1031\u102c\u1000\u103a\u101c\u103e\u1019\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a null hypothesis \u1000\u102d\u102f 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