{"id":3526,"date":"2023-07-17T00:49:18","date_gmt":"2023-07-17T00:49:18","guid":{"rendered":"https:\/\/statorials.org\/my\/statsmodels-%e1%80%91%e1%80%b1%e1%80%ac%e1%80%80%e1%80%ba%e1%80%95%e1%80%b6%e1%80%b7%e1%80%95%e1%80%ad%e1%80%af%e1%80%b7%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%9b%e1%80%b1%e1%80%b8\/"},"modified":"2023-07-17T00:49:18","modified_gmt":"2023-07-17T00:49:18","slug":"statsmodels-%e1%80%91%e1%80%b1%e1%80%ac%e1%80%80%e1%80%ba%e1%80%95%e1%80%b6%e1%80%b7%e1%80%95%e1%80%ad%e1%80%af%e1%80%b7%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%9b%e1%80%b1%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/statsmodels-%e1%80%91%e1%80%b1%e1%80%ac%e1%80%80%e1%80%ba%e1%80%95%e1%80%b6%e1%80%b7%e1%80%95%e1%80%ad%e1%80%af%e1%80%b7%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%9b%e1%80%b1%e1%80%b8\/","title":{"rendered":"Statistical models \u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d logistic regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Python \u104f <a href=\"https:\/\/www.statsmodels.org\/stable\/index.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> module \u101e\u100a\u103a \u101e\u1004\u1037\u103a\u1021\u102c\u1038 \u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1010\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a statsmodels \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d <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\">\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\u1000\u102d\u102f<\/a> \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a variable \u101e\u102f\u1036\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c pandas DataFrame \u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038 (\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038)<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 (\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 A \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a B)<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a (\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u101e\u100a\u103a)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1014\u102c\u101b\u102e\u1014\u103e\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \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\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1016\u103c\u100a\u1037\u103a\u1006\u100a\u103a\u1038\u1015\u1031\u1038\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a pandas DataFrame \u1016\u1014\u103a\u1010\u102e\u1038\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a \u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">result<\/span> ': [0, 1, 0, 0, 0, 0, 0, 1, 1, 0,\n                              0, 1, 1, 1, 0, 1, 1, 1, 1, 1],\n                   ' <span style=\"color: #ff0000;\">hours<\/span> ': [1, 2, 2, 2, 3, 2, 5, 4, 3, 6,\n                            5, 8, 8, 7, 6, 7, 5, 4, 8, 9],\n                   ' <span style=\"color: #ff0000;\">method<\/span> ': ['A', 'A', 'A', 'B', 'B', 'B', 'B',\n                             'B', 'B', 'A', 'B', 'A', 'B', 'B',\n                             'A', 'A', 'B', 'A', 'B', 'A']})\n\n<span style=\"color: #008080;\">#view first five rows of DataFrame\n<\/span>df. <span style=\"color: #3366ff;\">head<\/span> ()\n\n\tresult hours method\n0 0 1 A\n1 1 2 A\n2 0 2 A\n3 0 2 B\n4 0 3 B<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \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\u1000\u102d\u102f \u1021\u1036\u1000\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>logit()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1011\u1031\u102c\u1000\u103a\u1015\u1036\u1037\u1015\u102d\u102f\u1037\u1006\u1031\u102c\u1004\u103a\u101b\u1031\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \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\u1019\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">formula<\/span> . <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> smf\n\n<span style=\"color: #008080;\">#fit logistic regression model\n<\/span>model = smf. <span style=\"color: #3366ff;\">logit<\/span> (' <span style=\"color: #ff0000;\">result~hours+method<\/span> ', data=df). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\nOptimization completed successfully.\n         Current function value: 0.557786\n         Iterations 5\n                           Logit Regression Results                           \n==================================================== ============================\nDept. Variable: result No. Observations: 20\nModel: Logit Df Residuals: 17\nMethod: MLE Df Model: 2\nDate: Mon, 22 Aug 2022 Pseudo R-squ.: 0.1894\nTime: 09:53:35 Log-Likelihood: -11.156\nconverged: True LL-Null: -13.763\nCovariance Type: nonrobust LLR p-value: 0.07375\n==================================================== ============================\n                  coef std err z P&gt;|z| [0.025 0.975]\n-------------------------------------------------- -----------------------------\nIntercept -2.1569 1.416 -1.523 0.128 -4.932 0.618\nmethod[TB] 0.0875 1.051 0.083 0.934 -1.973 2.148\nhours 0.4909 0.245 2.002 0.045 0.010 0.972\n==================================================== ============================\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">output \u104f <strong>coef<\/strong> \u1000\u1031\u102c\u103a\u101c\u1036\u101b\u103e\u102d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u1037\u103a \u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u103a\u1037:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 B \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 A \u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1016\u103c\u1031\u1006\u102d\u102f\u1019\u103e\u102f\u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u103d\u1004\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e <strong>0.0875<\/strong> \u1010\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1015\u102d\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u102c\u101b\u102e\u1010\u102d\u102f\u1004\u103a\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1016\u103c\u1031\u1006\u102d\u102f\u1019\u103e\u102f\u1019\u103e\u1010\u103a\u1010\u1019\u103a\u1038\u1010\u103d\u1004\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e <strong>0.4909<\/strong> \u1010\u102d\u102f\u1038\u1001\u103c\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u1031\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>P&gt;|z|<\/strong> \u101b\u103e\u102d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038 \u1000\u1031\u102c\u103a\u101c\u1036\u101e\u100a\u103a coefficient \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u103a\u1037:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u103d\u1004\u103a p-value \u101e\u100a\u103a <strong>0.934<\/strong> \u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1019\u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a\u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\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\u101f\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u101c\u1031\u1037\u101c\u102c\u101e\u1031\u102c\u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038\u101e\u100a\u103a p-value <strong>0.045<\/strong> \u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1019\u101c\u1031\u1037\u101c\u102c\u101e\u100a\u1037\u103a\u1014\u102c\u101b\u102e\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\u101b\u103e\u102d\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1005\u103d\u1019\u103a\u1038\u1006\u1031\u102c\u1004\u103a\u101b\u100a\u103a\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">logistic regression model \u104f \u1021\u101b\u100a\u103a\u1021\u101e\u103d\u1031\u1038\u1000\u102d\u102f \u1021\u1000\u1032\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a output \u1010\u103d\u1004\u103a metrics \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u1014\u102c\u1019\u100a\u103a\u1015\u103c\u1031\u102c\u1004\u103a R-squared<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1021\u1010\u103d\u1000\u103a R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f null model \u1019\u103e full model \u101e\u102d\u102f\u1037 maximized log-likelihood function \u104f\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1016\u103c\u1005\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u101e\u1031\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u1031\u102c \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0 \u1019\u103e 1 \u1021\u1011\u102d \u1000\u103d\u102c\u101f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a pseudo R-squared \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.1894<\/strong> \u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1021\u101c\u103d\u1014\u103a\u1014\u102d\u1019\u1037\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u104f \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\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u101c\u103d\u1014\u103a\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u101e\u1031\u102c\u1021\u101c\u102f\u1015\u103a\u1019\u101f\u102f\u1010\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f\u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. LLR p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1019\u103b\u1009\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u104f <a href=\"https:\/\/statorials.org\/my\/\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a-\u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a-f-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f-\u1014\u102c\u1038\u101c\u100a\u103a\u101b\u1014\u103a-\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u100a\u103d\u103e\u1014\u103a\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">\u1021\u101c\u102f\u1036\u1038\u1005\u102f\u1036 F-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/a> \u1021\u1010\u103d\u1000\u103a p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1021\u1005\u102c\u1038\u1011\u102d\u102f\u1038\u101e\u100a\u103a\u101f\u102f \u101a\u1030\u1006\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1000\u101a\u103a\u104d \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1021\u1031\u102c\u1000\u103a\u104c \u101b\u103e\u102d\u1014\u1031\u1015\u102b\u1000 (\u1025\u1015\u1019\u102c \u03b1 = 0.05)\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u101e\u100a\u103a &#8220; \u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u101e\u100a\u103a&#8221;  \u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u103c\u102e\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\u1019\u103b\u102c\u1038\u1019\u1015\u102b\u1018\u1032 \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u1000 \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1019\u103d\u1014\u103a\u1005\u103d\u102c \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a LLR \u104f p-value \u101e\u100a\u103a <strong>0.07375<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1015\u1031\u102b\u103a \u1019\u1030\u1010\u100a\u103a\u104d (\u1025\u1015\u1019\u102c 0.01\u104a 0.05\u104a 0.1)\u104a \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1010\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c \u1021\u101c\u102f\u1015\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/linear-regression-python\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a linear regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a-\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f-\u1005\u1015\u102b\u1038\u1021\u102f\u1036\u1038\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a logarithmic regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/python-\u1010\u103d\u1004\u103a-quantile-regression\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a quantile regression \u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Python \u104f statsmodels module \u101e\u100a\u103a \u101e\u1004\u1037\u103a\u1021\u102c\u1038 \u1021\u1019\u103b\u102d\u102f\u1038\u1019\u103b\u102d\u102f\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u1031\u102c\u103a\u1012\u101a\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u101c\u103b\u1031\u102c\u100a\u102e\u1011\u103d\u1031\u1016\u103c\u1005\u103a\u1021\u1031\u102c\u1004\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1010\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u101e\u100a\u103a statsmodels \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \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\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1012\u1031\u1010\u102c\u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1015\u102b\u104b \u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a variable \u101e\u102f\u1036\u1038\u1001\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c pandas DataFrame \u1000\u102d\u102f\u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u101c\u1031\u1037\u101c\u102c\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u102c\u101b\u102e\u1019\u103b\u102c\u1038 (\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038) \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 (\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 A \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a B) \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a (\u1021\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1000\u103b\u101b\u103e\u102f\u1036\u1038\u101e\u100a\u103a) \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1000\u102d\u102f \u1021\u1031\u102c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101b\u1014\u103a \u1014\u102c\u101b\u102e\u1014\u103e\u1004\u1037\u103a \u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \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\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 [&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>Statistical Models \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Logistic Regression \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a Python \u101b\u103e\u102d Statsmodels \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \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\u1021\u102c\u1038 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \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\" 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\/>\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=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/statsmodels-%e1%80%91%e1%80%b1%e1%80%ac%e1%80%80%e1%80%ba%e1%80%95%e1%80%b6%e1%80%b7%e1%80%95%e1%80%ad%e1%80%af%e1%80%b7%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%9b%e1%80%b1%e1%80%b8\/\",\"url\":\"https:\/\/statorials.org\/my\/statsmodels-%e1%80%91%e1%80%b1%e1%80%ac%e1%80%80%e1%80%ba%e1%80%95%e1%80%b6%e1%80%b7%e1%80%95%e1%80%ad%e1%80%af%e1%80%b7%e1%80%86%e1%80%b1%e1%80%ac%e1%80%84%e1%80%ba%e1%80%9b%e1%80%b1%e1%80%b8\/\",\"name\":\"Statistical Models \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d Logistic Regression 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