| Coefficients of Bias-Reduced Logistic Regression | ||||
| Variable | Parameter | S.E. | t-stat | 2-sided p-value |
| (Intercept) | -1.77619648006835 | 0.471893968768783 | -3.76397368396679 | 0.00036961804818314 |
| X2 | 1.5821806378331 | 0.893207368804782 | 1.7713474978943 | 0.0813394791108766 |
| Y | -0.332612591619765 | 1.43646349631413 | -0.23154963037573 | 0.817638262526254 |
| X3 | 0.0390589050850724 | 0.70198265249879 | 0.0556408409040275 | 0.955804013413714 |
| X4 | -1.06484736987596 | 0.960839684421704 | -1.10824665877206 | 0.271968385369575 |
| Summary of Bias-Reduced Logistic Regression | |
| Deviance | 55.8671459755606 |
| Penalized deviance | 52.6384231972497 |
| Residual Degrees of Freedom | 63 |
| ROC Area | 0.646730462519936 |
| Hosmer–Lemeshow test | |
| Chi-square | NA |
| Degrees of Freedom | NA |
| P(>Chi) | NA |
| Fit of Logistic Regression | |||
| Index | Actual | Fitted | Error |
| 1 | 0 | 0.149676880784238 | -0.149676880784238 |
| 2 | 0 | 0.22797089073515 | -0.22797089073515 |
| 3 | 0 | 0.144773427434127 | -0.144773427434127 |
| 4 | 0 | 0.144773427434127 | -0.144773427434127 |
| 5 | 1 | 0.144773427434127 | 0.855226572565873 |
| 6 | 0 | 0.0572170074235246 | -0.0572170074235246 |
| 7 | 1 | 0.149676880784238 | 0.850323119215762 |
| 8 | 0 | 0.144773427434127 | -0.144773427434127 |
| 9 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 10 | 0 | 0.144773427434127 | -0.144773427434127 |
| 11 | 0 | 0.0572170074235246 | -0.0572170074235246 |
| 12 | 0 | 0.144773427434127 | -0.144773427434127 |
| 13 | 0 | 0.149676880784238 | -0.149676880784238 |
| 14 | 0 | 0.144773427434127 | -0.144773427434127 |
| 15 | 0 | 0.149676880784238 | -0.149676880784238 |
| 16 | 0 | 0.144773427434127 | -0.144773427434127 |
| 17 | 0 | 0.144773427434127 | -0.144773427434127 |
| 18 | 0 | 0.144773427434127 | -0.144773427434127 |
| 19 | 0 | 0.221169645995418 | -0.221169645995418 |
| 20 | 0 | 0.144773427434127 | -0.144773427434127 |
| 21 | 0 | 0.144773427434127 | -0.144773427434127 |
| 22 | 0 | 0.22797089073515 | -0.22797089073515 |
| 23 | 0 | 0.144773427434127 | -0.144773427434127 |
| 24 | 0 | 0.149676880784238 | -0.149676880784238 |
| 25 | 1 | 0.22797089073515 | 0.77202910926485 |
| 26 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 27 | 0 | 0.451647618325887 | -0.451647618325887 |
| 28 | 0 | 0.22797089073515 | -0.22797089073515 |
| 29 | 0 | 0.149676880784238 | -0.149676880784238 |
| 30 | 0 | 0.144773427434127 | -0.144773427434127 |
| 31 | 0 | 0.149676880784238 | -0.149676880784238 |
| 32 | 0 | 0.149676880784238 | -0.149676880784238 |
| 33 | 0 | 0.144773427434127 | -0.144773427434127 |
| 34 | 0 | 0.144773427434127 | -0.144773427434127 |
| 35 | 0 | 0.149676880784238 | -0.149676880784238 |
| 36 | 0 | 0.144773427434127 | -0.144773427434127 |
| 37 | 0 | 0.22797089073515 | -0.22797089073515 |
| 38 | 1 | 0.451647618325887 | 0.548352381674113 |
| 39 | 0 | 0.144773427434127 | -0.144773427434127 |
| 40 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 41 | 1 | 0.144773427434127 | 0.855226572565873 |
| 42 | 0 | 0.144773427434127 | -0.144773427434127 |
| 43 | 0 | 0.144773427434127 | -0.144773427434127 |
| 44 | 0 | 0.144773427434127 | -0.144773427434127 |
| 45 | 0 | 0.149676880784238 | -0.149676880784238 |
| 46 | 0 | 0.149676880784238 | -0.149676880784238 |
| 47 | 0 | 0.461338096120244 | -0.461338096120244 |
| 48 | 0 | 0.144773427434127 | -0.144773427434127 |
| 49 | 0 | 0.144773427434127 | -0.144773427434127 |
| 50 | 0 | 0.144773427434127 | -0.144773427434127 |
| 51 | 1 | 0.461338096120244 | 0.538661903879756 |
| 52 | 1 | 0.22797089073515 | 0.77202910926485 |
| 53 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 54 | 0 | 0.144773427434127 | -0.144773427434127 |
| 55 | 0 | 0.371303595008228 | -0.371303595008228 |
| 56 | 0 | 0.221169645995418 | -0.221169645995418 |
| 57 | 0 | 0.149676880784238 | -0.149676880784238 |
| 58 | 1 | 0.144773427434127 | 0.855226572565873 |
| 59 | 1 | 0.144773427434127 | 0.855226572565873 |
| 60 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 61 | 0 | 0.221169645995418 | -0.221169645995418 |
| 62 | 0 | 0.0551461226892342 | -0.0551461226892342 |
| 63 | 0 | 0.149676880784238 | -0.149676880784238 |
| 64 | 1 | 0.144773427434127 | 0.855226572565873 |
| 65 | 0 | 0.144773427434127 | -0.144773427434127 |
| 66 | 0 | 0.380466291472671 | -0.380466291472671 |
| 67 | 1 | 0.380466291472671 | 0.619533708527329 |
| 68 | 0 | 0.461338096120244 | -0.461338096120244 |
| Type I & II errors for various threshold values | ||
| Threshold | Type I | Type II |
| 0.01 | 0 | 1 |
| 0.02 | 0 | 1 |
| 0.03 | 0 | 1 |
| 0.04 | 0 | 1 |
| 0.05 | 0 | 1 |
| 0.06 | 0 | 0.859649122807018 |
| 0.07 | 0 | 0.859649122807018 |
| 0.08 | 0 | 0.859649122807018 |
| 0.09 | 0 | 0.859649122807018 |
| 0.1 | 0 | 0.859649122807018 |
| 0.11 | 0 | 0.859649122807018 |
| 0.12 | 0 | 0.859649122807018 |
| 0.13 | 0 | 0.859649122807018 |
| 0.14 | 0 | 0.859649122807018 |
| 0.15 | 0.545454545454545 | 0.210526315789474 |
| 0.16 | 0.545454545454545 | 0.210526315789474 |
| 0.17 | 0.545454545454545 | 0.210526315789474 |
| 0.18 | 0.545454545454545 | 0.210526315789474 |
| 0.19 | 0.545454545454545 | 0.210526315789474 |
| 0.2 | 0.545454545454545 | 0.210526315789474 |
| 0.21 | 0.545454545454545 | 0.210526315789474 |
| 0.22 | 0.545454545454545 | 0.210526315789474 |
| 0.23 | 0.727272727272727 | 0.087719298245614 |
| 0.24 | 0.727272727272727 | 0.087719298245614 |
| 0.25 | 0.727272727272727 | 0.087719298245614 |
| 0.26 | 0.727272727272727 | 0.087719298245614 |
| 0.27 | 0.727272727272727 | 0.087719298245614 |
| 0.28 | 0.727272727272727 | 0.087719298245614 |
| 0.29 | 0.727272727272727 | 0.087719298245614 |
| 0.3 | 0.727272727272727 | 0.087719298245614 |
| 0.31 | 0.727272727272727 | 0.087719298245614 |
| 0.32 | 0.727272727272727 | 0.087719298245614 |
| 0.33 | 0.727272727272727 | 0.087719298245614 |
| 0.34 | 0.727272727272727 | 0.087719298245614 |
| 0.35 | 0.727272727272727 | 0.087719298245614 |
| 0.36 | 0.727272727272727 | 0.087719298245614 |
| 0.37 | 0.727272727272727 | 0.087719298245614 |
| 0.38 | 0.727272727272727 | 0.0701754385964912 |
| 0.39 | 0.818181818181818 | 0.0526315789473684 |
| 0.4 | 0.818181818181818 | 0.0526315789473684 |
| 0.41 | 0.818181818181818 | 0.0526315789473684 |
| 0.42 | 0.818181818181818 | 0.0526315789473684 |
| 0.43 | 0.818181818181818 | 0.0526315789473684 |
| 0.44 | 0.818181818181818 | 0.0526315789473684 |
| 0.45 | 0.818181818181818 | 0.0526315789473684 |
| 0.46 | 0.909090909090909 | 0.0350877192982456 |
| 0.47 | 1 | 0 |
| 0.48 | 1 | 0 |
| 0.49 | 1 | 0 |
| 0.5 | 1 | 0 |
| 0.51 | 1 | 0 |
| 0.52 | 1 | 0 |
| 0.53 | 1 | 0 |
| 0.54 | 1 | 0 |
| 0.55 | 1 | 0 |
| 0.56 | 1 | 0 |
| 0.57 | 1 | 0 |
| 0.58 | 1 | 0 |
| 0.59 | 1 | 0 |
| 0.6 | 1 | 0 |
| 0.61 | 1 | 0 |
| 0.62 | 1 | 0 |
| 0.63 | 1 | 0 |
| 0.64 | 1 | 0 |
| 0.65 | 1 | 0 |
| 0.66 | 1 | 0 |
| 0.67 | 1 | 0 |
| 0.68 | 1 | 0 |
| 0.69 | 1 | 0 |
| 0.7 | 1 | 0 |
| 0.71 | 1 | 0 |
| 0.72 | 1 | 0 |
| 0.73 | 1 | 0 |
| 0.74 | 1 | 0 |
| 0.75 | 1 | 0 |
| 0.76 | 1 | 0 |
| 0.77 | 1 | 0 |
| 0.78 | 1 | 0 |
| 0.79 | 1 | 0 |
| 0.8 | 1 | 0 |
| 0.81 | 1 | 0 |
| 0.82 | 1 | 0 |
| 0.83 | 1 | 0 |
| 0.84 | 1 | 0 |
| 0.85 | 1 | 0 |
| 0.86 | 1 | 0 |
| 0.87 | 1 | 0 |
| 0.88 | 1 | 0 |
| 0.89 | 1 | 0 |
| 0.9 | 1 | 0 |
| 0.91 | 1 | 0 |
| 0.92 | 1 | 0 |
| 0.93 | 1 | 0 |
| 0.94 | 1 | 0 |
| 0.95 | 1 | 0 |
| 0.96 | 1 | 0 |
| 0.97 | 1 | 0 |
| 0.98 | 1 | 0 |
| 0.99 | 1 | 0 |
