| Coefficients of Bias-Reduced Logistic Regression | ||||
| Variable | Parameter | S.E. | t-stat | 2-sided p-value |
| (Intercept) | -0.0716760290437871 | 0.627404580729864 | -0.11424211943178 | 0.909363841814595 |
| X1 | 0.0284655896609594 | 0.0407562646537445 | 0.698434704524476 | 0.487155175947454 |
| X2 | -0.0603836085032652 | 0.0627877661291137 | -0.961709776058846 | 0.339414152560151 |
| X3 | -0.00744549231820927 | 0.0434632336242405 | -0.171305531074355 | 0.864464066160995 |
| X4 | 0.0355487842924243 | 0.0411053907889453 | 0.864820492157554 | 0.39000960231494 |
| X5 | -0.0728637934392251 | 0.0585623467027098 | -1.24420890797147 | 0.217457949851749 |
| X6 | -0.0516078663345165 | 0.0607213955560832 | -0.84991238857234 | 0.398191182366369 |
| X7 | 0.0165206111541582 | 0.0417046844017343 | 0.396133225587273 | 0.69317826450167 |
| Summary of Bias-Reduced Logistic Regression | |
| Deviance | 83.4094230114754 |
| Penalized deviance | 36.6731208308847 |
| Residual Degrees of Freedom | 72 |
| ROC Area | 0.685230024213075 |
| Hosmer–Lemeshow test | |
| Chi-square | 6.56643362327143 |
| Degrees of Freedom | 8 |
| P(>Chi) | 0.584048582410693 |
| Fit of Logistic Regression | |||
| Index | Actual | Fitted | Error |
| 1 | 0 | 0.44689070331572 | -0.44689070331572 |
| 2 | 0 | 0.438479989037766 | -0.438479989037766 |
| 3 | 0 | 0.382818349714424 | -0.382818349714424 |
| 4 | 1 | 0.476522984660658 | 0.523477015339342 |
| 5 | 1 | 0.500106939528534 | 0.499893060471466 |
| 6 | 1 | 0.320449593606554 | 0.679550406393446 |
| 7 | 0 | 0.291161838662597 | -0.291161838662597 |
| 8 | 0 | 0.391170298837663 | -0.391170298837663 |
| 9 | 1 | 0.171996387461669 | 0.828003612538331 |
| 10 | 1 | 0.269133869104194 | 0.730866130895806 |
| 11 | 0 | 0.371404259758119 | -0.371404259758119 |
| 12 | 0 | 0.344753514545556 | -0.344753514545556 |
| 13 | 1 | 0.331917163321982 | 0.668082836678018 |
| 14 | 1 | 0.396518535092821 | 0.603481464907178 |
| 15 | 0 | 0.289513180874367 | -0.289513180874367 |
| 16 | 1 | 0.270182813611778 | 0.729817186388222 |
| 17 | 1 | 0.359858182521569 | 0.640141817478431 |
| 18 | 0 | 0.275111510417849 | -0.275111510417849 |
| 19 | 1 | 0.388503906700219 | 0.611496093299781 |
| 20 | 1 | 0.336805662751129 | 0.663194337248871 |
| 21 | 0 | 0.372610053086996 | -0.372610053086996 |
| 22 | 1 | 0.349314111363644 | 0.650685888636356 |
| 23 | 0 | 0.285907714301524 | -0.285907714301524 |
| 24 | 1 | 0.342504177130874 | 0.657495822869126 |
| 25 | 1 | 0.369503493475204 | 0.630496506524796 |
| 26 | 1 | 0.401733274581961 | 0.598266725418039 |
| 27 | 0 | 0.320906848546325 | -0.320906848546325 |
| 28 | 1 | 0.429603649447092 | 0.570396350552908 |
| 29 | 1 | 0.300509097403081 | 0.699490902596919 |
| 30 | 1 | 0.336941099257828 | 0.663058900742172 |
| 31 | 0 | 0.42887462361861 | -0.42887462361861 |
| 32 | 0 | 0.29392866102918 | -0.29392866102918 |
| 33 | 0 | 0.139800422461423 | -0.139800422461423 |
| 34 | 0 | 0.323851388517152 | -0.323851388517152 |
| 35 | 0 | 0.382823956869788 | -0.382823956869788 |
| 36 | 0 | 0.282335069065897 | -0.282335069065897 |
| 37 | 0 | 0.353558700237624 | -0.353558700237624 |
| 38 | 0 | 0.364649082895631 | -0.364649082895631 |
| 39 | 0 | 0.427786733561762 | -0.427786733561762 |
| 40 | 0 | 0.401311477981663 | -0.401311477981663 |
| 41 | 0 | 0.232310034311067 | -0.232310034311067 |
| 42 | 0 | 0.187169692200259 | -0.187169692200259 |
| 43 | 0 | 0.275323839633929 | -0.275323839633929 |
| 44 | 0 | 0.259686624879592 | -0.259686624879592 |
| 45 | 0 | 0.194522333263953 | -0.194522333263953 |
| 46 | 0 | 0.256878353799476 | -0.256878353799476 |
| 47 | 0 | 0.269795196241547 | -0.269795196241547 |
| 48 | 0 | 0.193979210362284 | -0.193979210362284 |
| 49 | 0 | 0.193627368374547 | -0.193627368374547 |
| 50 | 0 | 0.297694514734268 | -0.297694514734268 |
| 51 | 0 | 0.0758351054045488 | -0.0758351054045488 |
| 52 | 0 | 0.113024439070432 | -0.113024439070432 |
| 53 | 0 | 0.272238797180089 | -0.272238797180089 |
| 54 | 0 | 0.20685779516367 | -0.20685779516367 |
| 55 | 0 | 0.496031345729327 | -0.496031345729327 |
| 56 | 0 | 0.413092190864126 | -0.413092190864126 |
| 57 | 0 | 0.423123340712283 | -0.423123340712283 |
| 58 | 1 | 0.604034040465233 | 0.395965959534767 |
| 59 | 0 | 0.21348614967079 | -0.21348614967079 |
| 60 | 0 | 0.192305152579133 | -0.192305152579133 |
| 61 | 1 | 0.207138743904052 | 0.792861256095948 |
| 62 | 0 | 0.182975527311065 | -0.182975527311065 |
| 63 | 0 | 0.0382847586610879 | -0.0382847586610879 |
| 64 | 0 | 0.23037915368045 | -0.23037915368045 |
| 65 | 0 | 0.219948427298393 | -0.219948427298393 |
| 66 | 0 | 0.0478032583099287 | -0.0478032583099287 |
| 67 | 0 | 0.27109501934184 | -0.27109501934184 |
| 68 | 0 | 0.0364658019421961 | -0.0364658019421961 |
| 69 | 0 | 0.249647484504908 | -0.249647484504908 |
| 70 | 0 | 0.023136897080999 | -0.023136897080999 |
| 71 | 0 | 0.0787750492944729 | -0.0787750492944729 |
| 72 | 0 | 0.0765007793222567 | -0.0765007793222567 |
| 73 | 0 | 0.174988840620275 | -0.174988840620275 |
| 74 | 0 | 0.0986197487382554 | -0.0986197487382554 |
| 75 | 0 | 0.173360533240052 | -0.173360533240052 |
| 76 | 1 | 0.191723137062308 | 0.808276862937692 |
| 77 | 0 | 0.0920037681037263 | -0.0920037681037263 |
| 78 | 0 | 0.343569472471536 | -0.343569472471536 |
| 79 | 0 | 0.395446312013599 | -0.395446312013599 |
| 80 | 0 | 0.395446312013599 | -0.395446312013599 |
| Type I & II errors for various threshold values | ||
| Threshold | Type I | Type II |
| 0.01 | 0 | 1 |
| 0.02 | 0 | 1 |
| 0.03 | 0 | 0.983050847457627 |
| 0.04 | 0 | 0.949152542372881 |
| 0.05 | 0 | 0.932203389830508 |
| 0.06 | 0 | 0.932203389830508 |
| 0.07 | 0 | 0.932203389830508 |
| 0.08 | 0 | 0.88135593220339 |
| 0.09 | 0 | 0.88135593220339 |
| 0.1 | 0 | 0.847457627118644 |
| 0.11 | 0 | 0.847457627118644 |
| 0.12 | 0 | 0.830508474576271 |
| 0.13 | 0 | 0.830508474576271 |
| 0.14 | 0 | 0.813559322033898 |
| 0.15 | 0 | 0.813559322033898 |
| 0.16 | 0 | 0.813559322033898 |
| 0.17 | 0 | 0.813559322033898 |
| 0.18 | 0.0476190476190476 | 0.779661016949153 |
| 0.19 | 0.0476190476190476 | 0.745762711864407 |
| 0.2 | 0.0952380952380952 | 0.677966101694915 |
| 0.21 | 0.142857142857143 | 0.661016949152542 |
| 0.22 | 0.142857142857143 | 0.627118644067797 |
| 0.23 | 0.142857142857143 | 0.627118644067797 |
| 0.24 | 0.142857142857143 | 0.593220338983051 |
| 0.25 | 0.142857142857143 | 0.576271186440678 |
| 0.26 | 0.142857142857143 | 0.542372881355932 |
| 0.27 | 0.19047619047619 | 0.525423728813559 |
| 0.28 | 0.238095238095238 | 0.457627118644068 |
| 0.29 | 0.238095238095238 | 0.406779661016949 |
| 0.3 | 0.238095238095238 | 0.355932203389831 |
| 0.31 | 0.285714285714286 | 0.355932203389831 |
| 0.32 | 0.285714285714286 | 0.355932203389831 |
| 0.33 | 0.333333333333333 | 0.322033898305085 |
| 0.34 | 0.476190476190476 | 0.322033898305085 |
| 0.35 | 0.571428571428571 | 0.288135593220339 |
| 0.36 | 0.619047619047619 | 0.271186440677966 |
| 0.37 | 0.666666666666667 | 0.254237288135593 |
| 0.38 | 0.666666666666667 | 0.220338983050847 |
| 0.39 | 0.714285714285714 | 0.186440677966102 |
| 0.4 | 0.761904761904762 | 0.135593220338983 |
| 0.41 | 0.80952380952381 | 0.11864406779661 |
| 0.42 | 0.80952380952381 | 0.101694915254237 |
| 0.43 | 0.857142857142857 | 0.0508474576271186 |
| 0.44 | 0.857142857142857 | 0.0338983050847458 |
| 0.45 | 0.857142857142857 | 0.0169491525423729 |
| 0.46 | 0.857142857142857 | 0.0169491525423729 |
| 0.47 | 0.857142857142857 | 0.0169491525423729 |
| 0.48 | 0.904761904761905 | 0.0169491525423729 |
| 0.49 | 0.904761904761905 | 0.0169491525423729 |
| 0.5 | 0.904761904761905 | 0 |
| 0.51 | 0.952380952380952 | 0 |
| 0.52 | 0.952380952380952 | 0 |
| 0.53 | 0.952380952380952 | 0 |
| 0.54 | 0.952380952380952 | 0 |
| 0.55 | 0.952380952380952 | 0 |
| 0.56 | 0.952380952380952 | 0 |
| 0.57 | 0.952380952380952 | 0 |
| 0.58 | 0.952380952380952 | 0 |
| 0.59 | 0.952380952380952 | 0 |
| 0.6 | 0.952380952380952 | 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 |
