Coefficients of Bias-Reduced Logistic Regression | ||||
Variable | Parameter | S.E. | t-stat | 2-sided p-value |
(Intercept) | 1.73226788420265 | 1.83876685539267 | 0.942081307982201 | 0.34930132110845 |
X1 | 0.0213229024323924 | 0.10147631713076 | 0.210126885122527 | 0.834162133290989 |
X2 | 0.0142496134668414 | 0.0716206429475361 | 0.198959585957356 | 0.84285513188216 |
X3 | 0.0561455895646661 | 0.0786890557240891 | 0.713512051301414 | 0.477835428939011 |
X4 | -0.0513253306036198 | 0.0679251148100896 | -0.755616398251504 | 0.452344181999069 |
X5 | -0.0100266371780804 | 0.172603944743242 | -0.0580904288890707 | 0.953837519290216 |
X6 | -0.333957881166007 | 0.141792205329428 | -2.35526262103137 | 0.0212375366119693 |
X7 | 0.0554573633183916 | 0.0452575759766839 | 1.22537193213712 | 0.224428504879641 |
Summary of Bias-Reduced Logistic Regression | |
Deviance | 36.7791333693698 |
Penalized deviance | -2.56945269202527 |
Residual Degrees of Freedom | 72 |
ROC Area | 0.927669345579793 |
Hosmer–Lemeshow test | |
Chi-square | 5.46766322080072 |
Degrees of Freedom | 8 |
P(>Chi) | 0.706619945699024 |
Fit of Logistic Regression | |||
Index | Actual | Fitted | Error |
1 | 1 | 0.838553673435836 | 0.161446326564164 |
2 | 1 | 0.88509546092187 | 0.11490453907813 |
3 | 1 | 0.946828331558016 | 0.0531716684419844 |
4 | 1 | 0.782800969900468 | 0.217199030099532 |
5 | 1 | 0.728117441464602 | 0.271882558535398 |
6 | 1 | 0.777601239712836 | 0.222398760287164 |
7 | 1 | 0.447655358248837 | 0.552344641751163 |
8 | 0 | 0.371471755326636 | -0.371471755326636 |
9 | 1 | 0.568580234711684 | 0.431419765288316 |
10 | 0 | 0.462464739231437 | -0.462464739231437 |
11 | 0 | 0.18420704542887 | -0.18420704542887 |
12 | 1 | 0.331762973409192 | 0.668237026590808 |
13 | 1 | 0.583014234330583 | 0.416985765669417 |
14 | 0 | 0.478126290054562 | -0.478126290054562 |
15 | 0 | 0.455263062445367 | -0.455263062445367 |
16 | 0 | 0.394386864390845 | -0.394386864390845 |
17 | 0 | 0.326487108267406 | -0.326487108267406 |
18 | 0 | 0.492731254409046 | -0.492731254409046 |
19 | 1 | 0.370221370321795 | 0.629778629678205 |
20 | 0 | 0.225168799611035 | -0.225168799611035 |
21 | 0 | 0.169985736056542 | -0.169985736056542 |
22 | 0 | 0.166387300194487 | -0.166387300194487 |
23 | 0 | 0.336041847255469 | -0.336041847255469 |
24 | 1 | 0.0675004172767039 | 0.932499582723296 |
25 | 0 | 0.154307651656155 | -0.154307651656155 |
26 | 0 | 0.0463383150163652 | -0.0463383150163652 |
27 | 0 | 0.272679102792488 | -0.272679102792488 |
28 | 0 | 0.0985307219286016 | -0.0985307219286016 |
29 | 0 | 0.109924943925001 | -0.109924943925001 |
30 | 0 | 0.108637986059593 | -0.108637986059593 |
31 | 0 | 0.210100925498452 | -0.210100925498452 |
32 | 0 | 0.106663494695624 | -0.106663494695624 |
33 | 0 | 0.299585029252256 | -0.299585029252256 |
34 | 0 | 0.0466759241124083 | -0.0466759241124083 |
35 | 1 | 0.143352984137941 | 0.856647015862059 |
36 | 0 | 0.0481598427121615 | -0.0481598427121615 |
37 | 0 | 0.0852647268322056 | -0.0852647268322056 |
38 | 0 | 0.186913754646768 | -0.186913754646768 |
39 | 0 | 0.03588319390284 | -0.03588319390284 |
40 | 0 | 0.0405440230093349 | -0.0405440230093349 |
41 | 0 | 0.104681972834929 | -0.104681972834929 |
42 | 0 | 0.0459646543648414 | -0.0459646543648414 |
43 | 0 | 0.0446514736992663 | -0.0446514736992663 |
44 | 0 | 0.0949482883013062 | -0.0949482883013062 |
45 | 0 | 0.0369749689858158 | -0.0369749689858158 |
46 | 0 | 0.142450139356476 | -0.142450139356476 |
47 | 0 | 0.011815346999043 | -0.011815346999043 |
48 | 0 | 0.014849917299322 | -0.014849917299322 |
49 | 0 | 0.0124148710501796 | -0.0124148710501796 |
50 | 0 | 0.0161054104019854 | -0.0161054104019854 |
51 | 0 | 0.052399079614793 | -0.052399079614793 |
52 | 0 | 0.0566599377654849 | -0.0566599377654849 |
53 | 0 | 0.0154601808700434 | -0.0154601808700434 |
54 | 0 | 0.197496773809751 | -0.197496773809751 |
55 | 0 | 0.25773299400431 | -0.25773299400431 |
56 | 0 | 0.0518433929589748 | -0.0518433929589748 |
57 | 0 | 0.0251475758428545 | -0.0251475758428545 |
58 | 0 | 0.0170472062238974 | -0.0170472062238974 |
59 | 0 | 0.0123346974816216 | -0.0123346974816216 |
60 | 0 | 0.036606735613808 | -0.036606735613808 |
61 | 0 | 0.00103711072885921 | -0.00103711072885921 |
62 | 0 | 0.000295023271616947 | -0.000295023271616947 |
63 | 0 | 0.000178945517766196 | -0.000178945517766196 |
64 | 0 | 7.62498516392942e-05 | -7.62498516392942e-05 |
65 | 0 | 0.000103763826864315 | -0.000103763826864315 |
66 | 0 | 0.000260433326310919 | -0.000260433326310919 |
67 | 0 | 0.000547511204356927 | -0.000547511204356927 |
68 | 0 | 0.00102187475107374 | -0.00102187475107374 |
69 | 0 | 0.00188922197768032 | -0.00188922197768032 |
70 | 0 | 0.00126965061001034 | -0.00126965061001034 |
71 | 0 | 0.00247903112006866 | -0.00247903112006866 |
72 | 0 | 0.00244867033345635 | -0.00244867033345635 |
73 | 0 | 0.000127772120414972 | -0.000127772120414972 |
74 | 0 | 0.00332486563924295 | -0.00332486563924295 |
75 | 0 | 0.0152349360553485 | -0.0152349360553485 |
76 | 0 | 0.000776121444887388 | -0.000776121444887388 |
77 | 0 | 0.00619302130303544 | -0.00619302130303544 |
78 | 0 | 0.000450154758436862 | -0.000450154758436862 |
79 | 0 | 0.000622669393120081 | -0.000622669393120081 |
80 | 0 | 0.000842865104895583 | -0.000842865104895583 |
Type I & II errors for various threshold values | ||
Threshold | Type I | Type II |
0.01 | 0 | 0.716417910447761 |
0.02 | 0 | 0.597014925373134 |
0.03 | 0 | 0.582089552238806 |
0.04 | 0 | 0.537313432835821 |
0.05 | 0 | 0.447761194029851 |
0.06 | 0 | 0.402985074626866 |
0.07 | 0.0769230769230769 | 0.402985074626866 |
0.08 | 0.0769230769230769 | 0.402985074626866 |
0.09 | 0.0769230769230769 | 0.388059701492537 |
0.1 | 0.0769230769230769 | 0.358208955223881 |
0.11 | 0.0769230769230769 | 0.298507462686567 |
0.12 | 0.0769230769230769 | 0.298507462686567 |
0.13 | 0.0769230769230769 | 0.298507462686567 |
0.14 | 0.0769230769230769 | 0.298507462686567 |
0.15 | 0.153846153846154 | 0.283582089552239 |
0.16 | 0.153846153846154 | 0.26865671641791 |
0.17 | 0.153846153846154 | 0.238805970149254 |
0.18 | 0.153846153846154 | 0.238805970149254 |
0.19 | 0.153846153846154 | 0.208955223880597 |
0.2 | 0.153846153846154 | 0.194029850746269 |
0.21 | 0.153846153846154 | 0.194029850746269 |
0.22 | 0.153846153846154 | 0.17910447761194 |
0.23 | 0.153846153846154 | 0.164179104477612 |
0.24 | 0.153846153846154 | 0.164179104477612 |
0.25 | 0.153846153846154 | 0.164179104477612 |
0.26 | 0.153846153846154 | 0.149253731343284 |
0.27 | 0.153846153846154 | 0.149253731343284 |
0.28 | 0.153846153846154 | 0.134328358208955 |
0.29 | 0.153846153846154 | 0.134328358208955 |
0.3 | 0.153846153846154 | 0.119402985074627 |
0.31 | 0.153846153846154 | 0.119402985074627 |
0.32 | 0.153846153846154 | 0.119402985074627 |
0.33 | 0.153846153846154 | 0.104477611940299 |
0.34 | 0.230769230769231 | 0.0895522388059701 |
0.35 | 0.230769230769231 | 0.0895522388059701 |
0.36 | 0.230769230769231 | 0.0895522388059701 |
0.37 | 0.230769230769231 | 0.0895522388059701 |
0.38 | 0.307692307692308 | 0.0746268656716418 |
0.39 | 0.307692307692308 | 0.0746268656716418 |
0.4 | 0.307692307692308 | 0.0597014925373134 |
0.41 | 0.307692307692308 | 0.0597014925373134 |
0.42 | 0.307692307692308 | 0.0597014925373134 |
0.43 | 0.307692307692308 | 0.0597014925373134 |
0.44 | 0.307692307692308 | 0.0597014925373134 |
0.45 | 0.384615384615385 | 0.0597014925373134 |
0.46 | 0.384615384615385 | 0.0447761194029851 |
0.47 | 0.384615384615385 | 0.0298507462686567 |
0.48 | 0.384615384615385 | 0.0149253731343284 |
0.49 | 0.384615384615385 | 0.0149253731343284 |
0.5 | 0.384615384615385 | 0 |
0.51 | 0.384615384615385 | 0 |
0.52 | 0.384615384615385 | 0 |
0.53 | 0.384615384615385 | 0 |
0.54 | 0.384615384615385 | 0 |
0.55 | 0.384615384615385 | 0 |
0.56 | 0.384615384615385 | 0 |
0.57 | 0.461538461538462 | 0 |
0.58 | 0.461538461538462 | 0 |
0.59 | 0.538461538461538 | 0 |
0.6 | 0.538461538461538 | 0 |
0.61 | 0.538461538461538 | 0 |
0.62 | 0.538461538461538 | 0 |
0.63 | 0.538461538461538 | 0 |
0.64 | 0.538461538461538 | 0 |
0.65 | 0.538461538461538 | 0 |
0.66 | 0.538461538461538 | 0 |
0.67 | 0.538461538461538 | 0 |
0.68 | 0.538461538461538 | 0 |
0.69 | 0.538461538461538 | 0 |
0.7 | 0.538461538461538 | 0 |
0.71 | 0.538461538461538 | 0 |
0.72 | 0.538461538461538 | 0 |
0.73 | 0.615384615384615 | 0 |
0.74 | 0.615384615384615 | 0 |
0.75 | 0.615384615384615 | 0 |
0.76 | 0.615384615384615 | 0 |
0.77 | 0.615384615384615 | 0 |
0.78 | 0.692307692307692 | 0 |
0.79 | 0.769230769230769 | 0 |
0.8 | 0.769230769230769 | 0 |
0.81 | 0.769230769230769 | 0 |
0.82 | 0.769230769230769 | 0 |
0.83 | 0.769230769230769 | 0 |
0.84 | 0.846153846153846 | 0 |
0.85 | 0.846153846153846 | 0 |
0.86 | 0.846153846153846 | 0 |
0.87 | 0.846153846153846 | 0 |
0.88 | 0.846153846153846 | 0 |
0.89 | 0.923076923076923 | 0 |
0.9 | 0.923076923076923 | 0 |
0.91 | 0.923076923076923 | 0 |
0.92 | 0.923076923076923 | 0 |
0.93 | 0.923076923076923 | 0 |
0.94 | 0.923076923076923 | 0 |
0.95 | 1 | 0 |
0.96 | 1 | 0 |
0.97 | 1 | 0 |
0.98 | 1 | 0 |
0.99 | 1 | 0 |