| Coefficients of Bias-Reduced Logistic Regression | ||||
| Variable | Parameter | S.E. | t-stat | 2-sided p-value |
| (Intercept) | -1.16292495619601 | 0.354386290155311 | -3.28151790433641 | 0.00152453381117579 |
| X2 | 0.953863662861544 | 0.554820263332737 | 1.71923003880897 | 0.0893919687871674 |
| Y | 0.637261690369789 | 0.865460795450328 | 0.736326467611049 | 0.463659221253085 |
| X3 | 0.447716619148497 | 0.538209065424362 | 0.831863764307808 | 0.40793159076998 |
| X4 | 0.0531508489660106 | 0.568943857117335 | 0.0934202000796876 | 0.925800433765035 |
| Summary of Bias-Reduced Logistic Regression | |
| Deviance | 103.272237352657 |
| Penalized deviance | 96.1559695406332 |
| Residual Degrees of Freedom | 81 |
| ROC Area | 0.666369047619048 |
| Hosmer–Lemeshow test | |
| Chi-square | NA |
| Degrees of Freedom | NA |
| P(>Chi) | NA |
| Fit of Logistic Regression | |||
| Index | Actual | Fitted | Error |
| 1 | 0 | 0.340277576952004 | -0.340277576952004 |
| 2 | 0 | 0.238136211695097 | -0.238136211695097 |
| 3 | 0 | 0.238136211695097 | -0.238136211695097 |
| 4 | 0 | 0.238136211695097 | -0.238136211695097 |
| 5 | 0 | 0.238136211695097 | -0.238136211695097 |
| 6 | 1 | 0.328449011175954 | 0.671550988824046 |
| 7 | 0 | 0.238136211695097 | -0.238136211695097 |
| 8 | 0 | 0.247913004353856 | -0.247913004353856 |
| 9 | 0 | 0.238136211695097 | -0.238136211695097 |
| 10 | 0 | 0.328449011175954 | -0.328449011175954 |
| 11 | 0 | 0.340277576952004 | -0.340277576952004 |
| 12 | 0 | 0.238136211695097 | -0.238136211695097 |
| 13 | 1 | 0.447924210060856 | 0.552075789939144 |
| 14 | 0 | 0.340277576952004 | -0.340277576952004 |
| 15 | 1 | 0.447924210060856 | 0.552075789939144 |
| 16 | 1 | 0.461101153316442 | 0.538898846683558 |
| 17 | 1 | 0.716886137280953 | 0.283113862719047 |
| 18 | 0 | 0.340277576952004 | -0.340277576952004 |
| 19 | 0 | 0.238136211695097 | -0.238136211695097 |
| 20 | 1 | 0.618066901027959 | 0.381933098972041 |
| 21 | 1 | 0.328449011175954 | 0.671550988824046 |
| 22 | 1 | 0.559382248892225 | 0.440617751107775 |
| 23 | 1 | 0.238136211695097 | 0.761863788304903 |
| 24 | 1 | 0.328449011175954 | 0.671550988824046 |
| 25 | 0 | 0.461101153316442 | -0.461101153316442 |
| 26 | 1 | 0.447924210060856 | 0.552075789939144 |
| 27 | 0 | 0.328449011175954 | -0.328449011175954 |
| 28 | 0 | 0.447924210060856 | -0.447924210060856 |
| 29 | 0 | 0.238136211695097 | -0.238136211695097 |
| 30 | 1 | 0.238136211695097 | 0.761863788304903 |
| 31 | 0 | 0.238136211695097 | -0.238136211695097 |
| 32 | 0 | 0.328449011175954 | -0.328449011175954 |
| 33 | 1 | 0.328449011175954 | 0.671550988824046 |
| 34 | 0 | 0.247913004353856 | -0.247913004353856 |
| 35 | 0 | 0.238136211695097 | -0.238136211695097 |
| 36 | 0 | 0.238136211695097 | -0.238136211695097 |
| 37 | 1 | 0.572438256809303 | 0.427561743190697 |
| 38 | 0 | 0.447924210060856 | -0.447924210060856 |
| 39 | 1 | 0.238136211695097 | 0.761863788304903 |
| 40 | 1 | 0.247913004353856 | 0.752086995646144 |
| 41 | 1 | 0.605443858084719 | 0.394556141915281 |
| 42 | 0 | 0.447924210060856 | -0.447924210060856 |
| 43 | 1 | 0.328449011175954 | 0.671550988824046 |
| 44 | 0 | 0.340277576952004 | -0.340277576952004 |
| 45 | 1 | 0.238136211695097 | 0.761863788304903 |
| 46 | 1 | 0.238136211695097 | 0.761863788304903 |
| 47 | 0 | 0.238136211695097 | -0.238136211695097 |
| 48 | 0 | 0.238136211695097 | -0.238136211695097 |
| 49 | 1 | 0.238136211695097 | 0.761863788304903 |
| 50 | 0 | 0.238136211695097 | -0.238136211695097 |
| 51 | 0 | 0.461101153316442 | -0.461101153316442 |
| 52 | 1 | 0.716886137280953 | 0.283113862719047 |
| 53 | 0 | 0.238136211695097 | -0.238136211695097 |
| 54 | 0 | 0.605443858084719 | -0.605443858084719 |
| 55 | 0 | 0.238136211695097 | -0.238136211695097 |
| 56 | 0 | 0.461101153316442 | -0.461101153316442 |
| 57 | 1 | 0.447924210060856 | 0.552075789939144 |
| 58 | 0 | 0.238136211695097 | -0.238136211695097 |
| 59 | 0 | 0.238136211695097 | -0.238136211695097 |
| 60 | 1 | 0.716886137280953 | 0.283113862719047 |
| 61 | 0 | 0.340277576952004 | -0.340277576952004 |
| 62 | 1 | 0.447924210060856 | 0.552075789939144 |
| 63 | 0 | 0.238136211695097 | -0.238136211695097 |
| 64 | 0 | 0.340277576952004 | -0.340277576952004 |
| 65 | 0 | 0.238136211695097 | -0.238136211695097 |
| 66 | 0 | 0.238136211695097 | -0.238136211695097 |
| 67 | 1 | 0.618066901027959 | 0.381933098972041 |
| 68 | 0 | 0.328449011175954 | -0.328449011175954 |
| 69 | 0 | 0.238136211695097 | -0.238136211695097 |
| 70 | 0 | 0.447924210060856 | -0.447924210060856 |
| 71 | 0 | 0.238136211695097 | -0.238136211695097 |
| 72 | 0 | 0.238136211695097 | -0.238136211695097 |
| 73 | 0 | 0.447924210060856 | -0.447924210060856 |
| 74 | 0 | 0.559382248892225 | -0.559382248892225 |
| 75 | 0 | 0.238136211695097 | -0.238136211695097 |
| 76 | 1 | 0.247913004353856 | 0.752086995646144 |
| 77 | 0 | 0.238136211695097 | -0.238136211695097 |
| 78 | 1 | 0.447924210060856 | 0.552075789939144 |
| 79 | 0 | 0.618066901027959 | -0.618066901027959 |
| 80 | 1 | 0.247913004353856 | 0.752086995646144 |
| 81 | 0 | 0.238136211695097 | -0.238136211695097 |
| 82 | 0 | 0.559382248892225 | -0.559382248892225 |
| 83 | 0 | 0.238136211695097 | -0.238136211695097 |
| 84 | 0 | 0.605443858084719 | -0.605443858084719 |
| 85 | 1 | 0.238136211695097 | 0.761863788304903 |
| 86 | 0 | 0.328449011175954 | -0.328449011175954 |
| 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 | 1 |
| 0.07 | 0 | 1 |
| 0.08 | 0 | 1 |
| 0.09 | 0 | 1 |
| 0.1 | 0 | 1 |
| 0.11 | 0 | 1 |
| 0.12 | 0 | 1 |
| 0.13 | 0 | 1 |
| 0.14 | 0 | 1 |
| 0.15 | 0 | 1 |
| 0.16 | 0 | 1 |
| 0.17 | 0 | 1 |
| 0.18 | 0 | 1 |
| 0.19 | 0 | 1 |
| 0.2 | 0 | 1 |
| 0.21 | 0 | 1 |
| 0.22 | 0 | 1 |
| 0.23 | 0 | 1 |
| 0.24 | 0.233333333333333 | 0.482142857142857 |
| 0.25 | 0.333333333333333 | 0.446428571428571 |
| 0.26 | 0.333333333333333 | 0.446428571428571 |
| 0.27 | 0.333333333333333 | 0.446428571428571 |
| 0.28 | 0.333333333333333 | 0.446428571428571 |
| 0.29 | 0.333333333333333 | 0.446428571428571 |
| 0.3 | 0.333333333333333 | 0.446428571428571 |
| 0.31 | 0.333333333333333 | 0.446428571428571 |
| 0.32 | 0.333333333333333 | 0.446428571428571 |
| 0.33 | 0.5 | 0.357142857142857 |
| 0.34 | 0.5 | 0.357142857142857 |
| 0.35 | 0.5 | 0.232142857142857 |
| 0.36 | 0.5 | 0.232142857142857 |
| 0.37 | 0.5 | 0.232142857142857 |
| 0.38 | 0.5 | 0.232142857142857 |
| 0.39 | 0.5 | 0.232142857142857 |
| 0.4 | 0.5 | 0.232142857142857 |
| 0.41 | 0.5 | 0.232142857142857 |
| 0.42 | 0.5 | 0.232142857142857 |
| 0.43 | 0.5 | 0.232142857142857 |
| 0.44 | 0.5 | 0.232142857142857 |
| 0.45 | 0.7 | 0.142857142857143 |
| 0.46 | 0.7 | 0.142857142857143 |
| 0.47 | 0.733333333333333 | 0.0892857142857143 |
| 0.48 | 0.733333333333333 | 0.0892857142857143 |
| 0.49 | 0.733333333333333 | 0.0892857142857143 |
| 0.5 | 0.733333333333333 | 0.0892857142857143 |
| 0.51 | 0.733333333333333 | 0.0892857142857143 |
| 0.52 | 0.733333333333333 | 0.0892857142857143 |
| 0.53 | 0.733333333333333 | 0.0892857142857143 |
| 0.54 | 0.733333333333333 | 0.0892857142857143 |
| 0.55 | 0.733333333333333 | 0.0892857142857143 |
| 0.56 | 0.766666666666667 | 0.0535714285714286 |
| 0.57 | 0.766666666666667 | 0.0535714285714286 |
| 0.58 | 0.8 | 0.0535714285714286 |
| 0.59 | 0.8 | 0.0535714285714286 |
| 0.6 | 0.8 | 0.0535714285714286 |
| 0.61 | 0.833333333333333 | 0.0178571428571429 |
| 0.62 | 0.9 | 0 |
| 0.63 | 0.9 | 0 |
| 0.64 | 0.9 | 0 |
| 0.65 | 0.9 | 0 |
| 0.66 | 0.9 | 0 |
| 0.67 | 0.9 | 0 |
| 0.68 | 0.9 | 0 |
| 0.69 | 0.9 | 0 |
| 0.7 | 0.9 | 0 |
| 0.71 | 0.9 | 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 |
