Coefficients of Bias-Reduced Logistic Regression | ||||
Variable | Parameter | S.E. | t-stat | 2-sided p-value |
(Intercept) | -1.32947720224473 | 0.699616878327928 | -1.90029320822298 | 0.0735337626023451 |
P | 9.0254399423835 | 5.07484357399297 | 1.77846662873239 | 0.0922226035616822 |
Summary of Bias-Reduced Logistic Regression | |
Deviance | 13.1878373939968 |
Penalized deviance | 15.4780628985594 |
Residual Degrees of Freedom | 18 |
ROC Area | 0.83 |
Hosmer–Lemeshow test | |
Chi-square | 4.47748980314667 |
Degrees of Freedom | 8 |
P(>Chi) | 0.811680935800227 |
Fit of Logistic Regression | |||
Index | Actual | Fitted | Error |
1 | 1 | 0.998101001750417 | 0.00189899824958328 |
2 | 1 | 0.610290733760551 | 0.389709266239449 |
3 | 1 | 0.209245855240582 | 0.790754144759418 |
4 | 1 | 0.724079743515656 | 0.275920256484344 |
5 | 1 | 0.980676847776057 | 0.0193231522239428 |
6 | 1 | 0.99592649910444 | 0.00407350089556091 |
7 | 1 | 0.990313737546261 | 0.00968626245373894 |
8 | 1 | 0.937420812919673 | 0.0625791870803267 |
9 | 1 | 0.213761229673564 | 0.786238770326436 |
10 | 1 | 0.999248241352283 | 0.000751758647717038 |
11 | 0 | 0.225200594719172 | -0.225200594719172 |
12 | 0 | 0.212248266657792 | -0.212248266657792 |
13 | 0 | 0.232527240787173 | -0.232527240787173 |
14 | 0 | 0.215282030154283 | -0.215282030154283 |
15 | 0 | 0.214064762806792 | -0.214064762806792 |
16 | 0 | 0.21285251130805 | -0.21285251130805 |
17 | 0 | 0.216810666735283 | -0.216810666735283 |
18 | 0 | 0.212550232220111 | -0.212550232220111 |
19 | 0 | 0.214064762806792 | -0.214064762806792 |
20 | 0 | 0.305286791176809 | -0.305286791176809 |
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 | 1 |
0.22 | 0.2 | 0.3 |
0.23 | 0.2 | 0.2 |
0.24 | 0.2 | 0.1 |
0.25 | 0.2 | 0.1 |
0.26 | 0.2 | 0.1 |
0.27 | 0.2 | 0.1 |
0.28 | 0.2 | 0.1 |
0.29 | 0.2 | 0.1 |
0.3 | 0.2 | 0.1 |
0.31 | 0.2 | 0 |
0.32 | 0.2 | 0 |
0.33 | 0.2 | 0 |
0.34 | 0.2 | 0 |
0.35 | 0.2 | 0 |
0.36 | 0.2 | 0 |
0.37 | 0.2 | 0 |
0.38 | 0.2 | 0 |
0.39 | 0.2 | 0 |
0.4 | 0.2 | 0 |
0.41 | 0.2 | 0 |
0.42 | 0.2 | 0 |
0.43 | 0.2 | 0 |
0.44 | 0.2 | 0 |
0.45 | 0.2 | 0 |
0.46 | 0.2 | 0 |
0.47 | 0.2 | 0 |
0.48 | 0.2 | 0 |
0.49 | 0.2 | 0 |
0.5 | 0.2 | 0 |
0.51 | 0.2 | 0 |
0.52 | 0.2 | 0 |
0.53 | 0.2 | 0 |
0.54 | 0.2 | 0 |
0.55 | 0.2 | 0 |
0.56 | 0.2 | 0 |
0.57 | 0.2 | 0 |
0.58 | 0.2 | 0 |
0.59 | 0.2 | 0 |
0.6 | 0.2 | 0 |
0.61 | 0.2 | 0 |
0.62 | 0.3 | 0 |
0.63 | 0.3 | 0 |
0.64 | 0.3 | 0 |
0.65 | 0.3 | 0 |
0.66 | 0.3 | 0 |
0.67 | 0.3 | 0 |
0.68 | 0.3 | 0 |
0.69 | 0.3 | 0 |
0.7 | 0.3 | 0 |
0.71 | 0.3 | 0 |
0.72 | 0.3 | 0 |
0.73 | 0.4 | 0 |
0.74 | 0.4 | 0 |
0.75 | 0.4 | 0 |
0.76 | 0.4 | 0 |
0.77 | 0.4 | 0 |
0.78 | 0.4 | 0 |
0.79 | 0.4 | 0 |
0.8 | 0.4 | 0 |
0.81 | 0.4 | 0 |
0.82 | 0.4 | 0 |
0.83 | 0.4 | 0 |
0.84 | 0.4 | 0 |
0.85 | 0.4 | 0 |
0.86 | 0.4 | 0 |
0.87 | 0.4 | 0 |
0.88 | 0.4 | 0 |
0.89 | 0.4 | 0 |
0.9 | 0.4 | 0 |
0.91 | 0.4 | 0 |
0.92 | 0.4 | 0 |
0.93 | 0.4 | 0 |
0.94 | 0.5 | 0 |
0.95 | 0.5 | 0 |
0.96 | 0.5 | 0 |
0.97 | 0.5 | 0 |
0.98 | 0.5 | 0 |
0.99 | 0.6 | 0 |