Coefficients of Bias-Reduced Logistic Regression
Variable	Parameter	S.E.	t-stat	2-sided p-value
(Intercept)	-5.45556664289297	2.74161465040632	-1.98991008531576	0.055483411486553
X1	-0.114775988461511	0.0677149339743317	-1.69498782211053	0.10010172968
X2	0.30796946192972	0.150706456998085	2.04350542149388	0.0495801457535985
X3	0.093833791143369	0.16877065345385	0.555984048311026	0.58221283621237
X4	-0.197325690296143	0.22127902931809	-0.891750523780932	0.379396444737552

Summary of Bias-Reduced Logistic Regression
Deviance	11.8159893340827
Penalized deviance	-8.96262366434337
Residual Degrees of Freedom	31
ROC Area	0.992307692307692
Hosmer–Lemeshow test
Chi-square	2.00861318738299
Degrees of Freedom	8
P(>Chi)	0.980746653936425

Fit of Logistic Regression
Index	Actual	Fitted	Error
1	0	0.0849660756927395	-0.0849660756927395
2	0	0.169299419915491	-0.169299419915491
3	0	0.124993283807139	-0.124993283807139
4	0	0.00166752686803773	-0.00166752686803773
5	0	0.00571319037056952	-0.00571319037056952
6	0	0.0159249407540364	-0.0159249407540364
7	1	0.572283770804991	0.427716229195009
8	0	0.505619059001614	-0.505619059001614
9	1	0.773733312999764	0.226266687000236
10	0	0.00790380451155001	-0.00790380451155001
11	0	0.0118792176119567	-0.0118792176119567
12	0	0.00435700096538085	-0.00435700096538085
13	0	0.263954319613781	-0.263954319613781
14	0	0.190484066999432	-0.190484066999432
15	0	0.335074885792021	-0.335074885792021
16	0	0.0525878137564888	-0.0525878137564888
17	0	0.0276381261217597	-0.0276381261217597
18	0	0.0361048140625357	-0.0361048140625357
19	1	0.986734149403958	0.0132658505960416
20	1	0.903072432761589	0.0969275672384114
21	1	0.972840483622037	0.0271595163779628
22	0	0.00882036899534707	-0.00882036899534707
23	0	0.00157511096512351	-0.00157511096512351
24	0	0.00626851385695364	-0.00626851385695364
25	0	0.0947086323899808	-0.0947086323899808
26	1	0.320858197915068	0.679141802084932
27	1	0.556568322696787	0.443431677303213
28	0	0.253628374597467	-0.253628374597467
29	0	0.166627061548474	-0.166627061548474
30	0	0.296250339366943	-0.296250339366943
31	1	0.983368011472627	0.0166319885273726
32	1	0.983368011472627	0.0166319885273726
33	1	0.97916576880396	0.02083423119604
34	0	0.0149362353228359	-0.0149362353228359
35	0	0.00410150246652389	-0.00410150246652389
36	0	0.00700034737359068	-0.00700034737359068

Type I & II errors for various threshold values
Threshold	Type I	Type II
0.01	0	0.653846153846154
0.02	0	0.538461538461538
0.03	0	0.5
0.04	0	0.461538461538462
0.05	0	0.461538461538462
0.06	0	0.423076923076923
0.07	0	0.423076923076923
0.08	0	0.423076923076923
0.09	0	0.384615384615385
0.1	0	0.346153846153846
0.11	0	0.346153846153846
0.12	0	0.346153846153846
0.13	0	0.307692307692308
0.14	0	0.307692307692308
0.15	0	0.307692307692308
0.16	0	0.307692307692308
0.17	0	0.230769230769231
0.18	0	0.230769230769231
0.19	0	0.230769230769231
0.2	0	0.192307692307692
0.21	0	0.192307692307692
0.22	0	0.192307692307692
0.23	0	0.192307692307692
0.24	0	0.192307692307692
0.25	0	0.192307692307692
0.26	0	0.153846153846154
0.27	0	0.115384615384615
0.28	0	0.115384615384615
0.29	0	0.115384615384615
0.3	0	0.0769230769230769
0.31	0	0.0769230769230769
0.32	0	0.0769230769230769
0.33	0.1	0.0769230769230769
0.34	0.1	0.0384615384615385
0.35	0.1	0.0384615384615385
0.36	0.1	0.0384615384615385
0.37	0.1	0.0384615384615385
0.38	0.1	0.0384615384615385
0.39	0.1	0.0384615384615385
0.4	0.1	0.0384615384615385
0.41	0.1	0.0384615384615385
0.42	0.1	0.0384615384615385
0.43	0.1	0.0384615384615385
0.44	0.1	0.0384615384615385
0.45	0.1	0.0384615384615385
0.46	0.1	0.0384615384615385
0.47	0.1	0.0384615384615385
0.48	0.1	0.0384615384615385
0.49	0.1	0.0384615384615385
0.5	0.1	0.0384615384615385
0.51	0.1	0
0.52	0.1	0
0.53	0.1	0
0.54	0.1	0
0.55	0.1	0
0.56	0.2	0
0.57	0.2	0
0.58	0.3	0
0.59	0.3	0
0.6	0.3	0
0.61	0.3	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	0.3	0
0.74	0.3	0
0.75	0.3	0
0.76	0.3	0
0.77	0.3	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	0.5	0
0.92	0.5	0
0.93	0.5	0
0.94	0.5	0
0.95	0.5	0
0.96	0.5	0
0.97	0.5	0
0.98	0.7	0
0.99	1	0