| Coefficients of Bias-Reduced Logistic Regression | ||||
| Variable | Parameter | S.E. | t-stat | 2-sided p-value |
| (Intercept) | -16.8800455690052 | 4.78523529842223 | -3.52752676019314 | 0.000675675151743382 |
| X1 | 0.499104651862897 | 0.196906683633053 | 2.53472681909064 | 0.0130636754500733 |
| X2 | 0.766414675610288 | 0.233059260769973 | 3.28849698174719 | 0.00146038995829367 |
| Summary of Bias-Reduced Logistic Regression | |
| Deviance | 14.469520525918 |
| Penalized deviance | 7.0672933947913 |
| Residual Degrees of Freedom | 86 |
| ROC Area | 0.996825396825397 |
| Hosmer–Lemeshow test | |
| Chi-square | 0.701147060984424 |
| Degrees of Freedom | 8 |
| P(>Chi) | 0.999523755920063 |
| Fit of Logistic Regression | |||
| Index | Actual | Fitted | Error |
| 1 | 0 | 7.08950087441427e-05 | -7.08950087441427e-05 |
| 2 | 0 | 1.21415664456522e-05 | -1.21415664456522e-05 |
| 3 | 0 | 5.62282934317254e-05 | -5.62282934317254e-05 |
| 4 | 0 | 2.61287305758732e-05 | -2.61287305758732e-05 |
| 5 | 0 | 0.000152556197723302 | -0.000152556197723302 |
| 6 | 0 | 3.41354868755042e-05 | -3.41354868755042e-05 |
| 7 | 0 | 0.000152556197723302 | -0.000152556197723302 |
| 8 | 0 | 3.29444664622051e-05 | -3.29444664622051e-05 |
| 9 | 0 | 7.34579302688799e-05 | -7.34579302688799e-05 |
| 10 | 0 | 5.82610302386556e-05 | -5.82610302386556e-05 |
| 11 | 0 | 5.84590738911921e-06 | -5.84590738911921e-06 |
| 12 | 0 | 7.63734520938964e-06 | -7.63734520938964e-06 |
| 13 | 0 | 5.86550246577116e-07 | -5.86550246577116e-07 |
| 14 | 0 | 2.7255596651486e-07 | -2.7255596651486e-07 |
| 15 | 0 | 5.86550246577116e-07 | -5.86550246577116e-07 |
| 16 | 0 | 1.262276778263e-06 | -1.262276778263e-06 |
| 17 | 0 | 2.07927836185255e-06 | -2.07927836185255e-06 |
| 18 | 0 | 1.262276778263e-06 | -1.262276778263e-06 |
| 19 | 0 | 2.61287305758732e-05 | -2.61287305758732e-05 |
| 20 | 0 | 3.29444664622051e-05 | -3.29444664622051e-05 |
| 21 | 0 | 3.41354868755042e-05 | -3.41354868755042e-05 |
| 22 | 0 | 9.26184467764968e-05 | -9.26184467764968e-05 |
| 23 | 0 | 0.000152556197723302 | -0.000152556197723302 |
| 24 | 0 | 0.000328248839757534 | -0.000328248839757534 |
| 25 | 0 | 0.00425728943698978 | -0.00425728943698978 |
| 26 | 0 | 0.011877843847903 | -0.011877843847903 |
| 27 | 0 | 0.0813075209903182 | -0.0813075209903182 |
| 28 | 0 | 0.00157320557417946 | -0.00157320557417946 |
| 29 | 0 | 0.0655890513513116 | -0.0655890513513116 |
| 30 | 0 | 0.0252165000430891 | -0.0252165000430891 |
| 31 | 0 | 0.000152556197723302 | -0.000152556197723302 |
| 32 | 0 | 7.08950087441427e-05 | -7.08950087441427e-05 |
| 33 | 0 | 7.08950087441427e-05 | -7.08950087441427e-05 |
| 34 | 0 | 0.000199297027522434 | -0.000199297027522434 |
| 35 | 0 | 0.000328248839757534 | -0.000328248839757534 |
| 36 | 0 | 0.000328248839757534 | -0.000328248839757534 |
| 37 | 0 | 0.00425728943698978 | -0.00425728943698978 |
| 38 | 0 | 0.0194164563557805 | -0.0194164563557805 |
| 39 | 0 | 0.00151839643824154 | -0.00151839643824154 |
| 40 | 0 | 0.013920592195112 | -0.013920592195112 |
| 41 | 0 | 0.00425728943698978 | -0.00425728943698978 |
| 42 | 0 | 0.0408707105664405 | -0.0408707105664405 |
| 43 | 1 | 0.959766283536681 | 0.0402337164633187 |
| 44 | 1 | 0.990708297978152 | 0.00929170202184815 |
| 45 | 1 | 0.995660784581751 | 0.00433921541824944 |
| 46 | 1 | 0.917251040881635 | 0.0827489591183646 |
| 47 | 1 | 0.975182826875675 | 0.0248171731243254 |
| 48 | 1 | 0.974308647775308 | 0.025691352224692 |
| 49 | 0 | 0.0110724359184094 | -0.0110724359184094 |
| 50 | 0 | 0.0492972585582155 | -0.0492972585582155 |
| 51 | 0 | 0.193644046064569 | -0.193644046064569 |
| 52 | 0 | 0.0813075209903182 | -0.0813075209903182 |
| 53 | 0 | 0.100388233891706 | -0.100388233891706 |
| 54 | 0 | 0.123345492890648 | -0.123345492890648 |
| 55 | 0 | 0.0655890513513116 | -0.0655890513513116 |
| 56 | 0 | 0.0243580744169046 | -0.0243580744169046 |
| 57 | 1 | 0.712643114333754 | 0.287356885666246 |
| 58 | 0 | 0.00499608339349096 | -0.00499608339349096 |
| 59 | 0 | 0.290721278095368 | -0.290721278095368 |
| 60 | 1 | 0.592337213080155 | 0.407662786919845 |
| 61 | 1 | 0.994338580097248 | 0.00566141990275204 |
| 62 | 1 | 0.999408425792524 | 0.000591574207475798 |
| 63 | 1 | 0.999408425792524 | 0.000591574207475798 |
| 64 | 1 | 0.999640787206643 | 0.000359212793356711 |
| 65 | 1 | 0.998396436956041 | 0.00160356304395926 |
| 66 | 1 | 0.999408425792524 | 0.000591574207475798 |
| 67 | 1 | 0.948077026763626 | 0.0519229732363742 |
| 68 | 0 | 0.394533707616029 | -0.394533707616029 |
| 69 | 0 | 0.891169628414113 | -0.891169628414113 |
| 70 | 1 | 0.994338580097248 | 0.00566141990275204 |
| 71 | 1 | 0.980215695393159 | 0.019784304606841 |
| 72 | 1 | 0.46867386193145 | 0.53132613806855 |
| 73 | 1 | 0.917251040881635 | 0.0827489591183646 |
| 74 | 1 | 0.967822431924681 | 0.0321775680753187 |
| 75 | 1 | 0.377699285174078 | 0.622300714825922 |
| 76 | 1 | 0.866568129161547 | 0.133431870838453 |
| 77 | 1 | 0.984244399435719 | 0.0157556005642813 |
| 78 | 1 | 0.999781900483964 | 0.000218099516035575 |
| 79 | 1 | 0.999640787206643 | 0.000359212793356711 |
| 80 | 1 | 0.998396436956041 | 0.00160356304395926 |
| 81 | 1 | 0.998396436956041 | 0.00160356304395926 |
| 82 | 1 | 0.999408425792524 | 0.000591574207475798 |
| 83 | 1 | 0.999640787206643 | 0.000359212793356711 |
| 84 | 1 | 0.997906061388253 | 0.00209393861174667 |
| 85 | 1 | 0.999025904874916 | 0.000974095125083507 |
| 86 | 1 | 0.987463225542371 | 0.0125367744576295 |
| 87 | 1 | 0.998727777659597 | 0.00127222234040336 |
| 88 | 1 | 0.999408425792524 | 0.000591574207475798 |
| 89 | 1 | 0.984244399435719 | 0.0157556005642813 |
| Type I & II errors for various threshold values | ||
| Threshold | Type I | Type II |
| 0.01 | 0 | 0.333333333333333 |
| 0.02 | 0 | 0.259259259259259 |
| 0.03 | 0 | 0.222222222222222 |
| 0.04 | 0 | 0.222222222222222 |
| 0.05 | 0 | 0.185185185185185 |
| 0.06 | 0 | 0.185185185185185 |
| 0.07 | 0 | 0.148148148148148 |
| 0.08 | 0 | 0.148148148148148 |
| 0.09 | 0 | 0.111111111111111 |
| 0.1 | 0 | 0.111111111111111 |
| 0.11 | 0 | 0.0925925925925926 |
| 0.12 | 0 | 0.0925925925925926 |
| 0.13 | 0 | 0.0740740740740741 |
| 0.14 | 0 | 0.0740740740740741 |
| 0.15 | 0 | 0.0740740740740741 |
| 0.16 | 0 | 0.0740740740740741 |
| 0.17 | 0 | 0.0740740740740741 |
| 0.18 | 0 | 0.0740740740740741 |
| 0.19 | 0 | 0.0740740740740741 |
| 0.2 | 0 | 0.0555555555555556 |
| 0.21 | 0 | 0.0555555555555556 |
| 0.22 | 0 | 0.0555555555555556 |
| 0.23 | 0 | 0.0555555555555556 |
| 0.24 | 0 | 0.0555555555555556 |
| 0.25 | 0 | 0.0555555555555556 |
| 0.26 | 0 | 0.0555555555555556 |
| 0.27 | 0 | 0.0555555555555556 |
| 0.28 | 0 | 0.0555555555555556 |
| 0.29 | 0 | 0.0555555555555556 |
| 0.3 | 0 | 0.037037037037037 |
| 0.31 | 0 | 0.037037037037037 |
| 0.32 | 0 | 0.037037037037037 |
| 0.33 | 0 | 0.037037037037037 |
| 0.34 | 0 | 0.037037037037037 |
| 0.35 | 0 | 0.037037037037037 |
| 0.36 | 0 | 0.037037037037037 |
| 0.37 | 0 | 0.037037037037037 |
| 0.38 | 0.0285714285714286 | 0.037037037037037 |
| 0.39 | 0.0285714285714286 | 0.037037037037037 |
| 0.4 | 0.0285714285714286 | 0.0185185185185185 |
| 0.41 | 0.0285714285714286 | 0.0185185185185185 |
| 0.42 | 0.0285714285714286 | 0.0185185185185185 |
| 0.43 | 0.0285714285714286 | 0.0185185185185185 |
| 0.44 | 0.0285714285714286 | 0.0185185185185185 |
| 0.45 | 0.0285714285714286 | 0.0185185185185185 |
| 0.46 | 0.0285714285714286 | 0.0185185185185185 |
| 0.47 | 0.0571428571428571 | 0.0185185185185185 |
| 0.48 | 0.0571428571428571 | 0.0185185185185185 |
| 0.49 | 0.0571428571428571 | 0.0185185185185185 |
| 0.5 | 0.0571428571428571 | 0.0185185185185185 |
| 0.51 | 0.0571428571428571 | 0.0185185185185185 |
| 0.52 | 0.0571428571428571 | 0.0185185185185185 |
| 0.53 | 0.0571428571428571 | 0.0185185185185185 |
| 0.54 | 0.0571428571428571 | 0.0185185185185185 |
| 0.55 | 0.0571428571428571 | 0.0185185185185185 |
| 0.56 | 0.0571428571428571 | 0.0185185185185185 |
| 0.57 | 0.0571428571428571 | 0.0185185185185185 |
| 0.58 | 0.0571428571428571 | 0.0185185185185185 |
| 0.59 | 0.0571428571428571 | 0.0185185185185185 |
| 0.6 | 0.0857142857142857 | 0.0185185185185185 |
| 0.61 | 0.0857142857142857 | 0.0185185185185185 |
| 0.62 | 0.0857142857142857 | 0.0185185185185185 |
| 0.63 | 0.0857142857142857 | 0.0185185185185185 |
| 0.64 | 0.0857142857142857 | 0.0185185185185185 |
| 0.65 | 0.0857142857142857 | 0.0185185185185185 |
| 0.66 | 0.0857142857142857 | 0.0185185185185185 |
| 0.67 | 0.0857142857142857 | 0.0185185185185185 |
| 0.68 | 0.0857142857142857 | 0.0185185185185185 |
| 0.69 | 0.0857142857142857 | 0.0185185185185185 |
| 0.7 | 0.0857142857142857 | 0.0185185185185185 |
| 0.71 | 0.0857142857142857 | 0.0185185185185185 |
| 0.72 | 0.114285714285714 | 0.0185185185185185 |
| 0.73 | 0.114285714285714 | 0.0185185185185185 |
| 0.74 | 0.114285714285714 | 0.0185185185185185 |
| 0.75 | 0.114285714285714 | 0.0185185185185185 |
| 0.76 | 0.114285714285714 | 0.0185185185185185 |
| 0.77 | 0.114285714285714 | 0.0185185185185185 |
| 0.78 | 0.114285714285714 | 0.0185185185185185 |
| 0.79 | 0.114285714285714 | 0.0185185185185185 |
| 0.8 | 0.114285714285714 | 0.0185185185185185 |
| 0.81 | 0.114285714285714 | 0.0185185185185185 |
| 0.82 | 0.114285714285714 | 0.0185185185185185 |
| 0.83 | 0.114285714285714 | 0.0185185185185185 |
| 0.84 | 0.114285714285714 | 0.0185185185185185 |
| 0.85 | 0.114285714285714 | 0.0185185185185185 |
| 0.86 | 0.114285714285714 | 0.0185185185185185 |
| 0.87 | 0.142857142857143 | 0.0185185185185185 |
| 0.88 | 0.142857142857143 | 0.0185185185185185 |
| 0.89 | 0.142857142857143 | 0.0185185185185185 |
| 0.9 | 0.142857142857143 | 0 |
| 0.91 | 0.142857142857143 | 0 |
| 0.92 | 0.2 | 0 |
| 0.93 | 0.2 | 0 |
| 0.94 | 0.2 | 0 |
| 0.95 | 0.228571428571429 | 0 |
| 0.96 | 0.257142857142857 | 0 |
| 0.97 | 0.285714285714286 | 0 |
| 0.98 | 0.342857142857143 | 0 |
| 0.99 | 0.457142857142857 | 0 |
