Performance metrics	Separation	Scenario	N	Name of Model
Performance metrics	Separation	Scenario	N	ML	Firth	Normal	Cauchy 1
Bias	Small (100%)	1	160	0.027	0.025	−0.015	−0.026
		2	160	0.021	0.019	0.010	0.001
		3	160	0.003	0.005	0.015	0.023
		4	160	−0.052	−0.051	−0.016	−0.008
	Small (0%)	1	160	0.057	0.057	0.014	0.005
		2	160	−0.008	−0.008	−0.019	−0.027
		3	160	0.010	0.011	0.028	0.034
		4	160	−0.026	−0.026	0.017	0.026
	Large	1	1000	0.067	0.067	0.005	0.007
		2	1000	0.002	0.001	0.011	0.012
		3	1000	0.004	0.004	−0.015	−0.016
		4	1000	0.050	0.050	−0.011	−0.012
MSE	Small (100%)	1	160	0.263	0.262	0.334	0.335
		2	160	0.210	0.209	0.275	0.277
		3	160	0.206	0.206	0.269	0.273
		4	160	0.242	0.239	0.294	0.295
	Small (0%)	1	160	0.244	0.244	0.308	0.311
		2	160	0.196	0.196	0.258	0.262
		3	160	0.191	0.191	0.256	0.259
		4	160	0.233	0.231	0.290	0.289
	Large	1	1000	0.038	0.038	0.049	0.050
		2	1000	0.027	0.027	0.037	0.037
		3	1000	0.026	0.026	0.035	0.035
		4	1000	0.033	0.033	0.050	0.049
95% Coverage	Small (100%)	1	160	0.95	0.95	0.94	0.94
		2	160	0.96	0.96	0.94	0.94
		3	160	0.95	0.95	0.94	0.94
		4	160	0.97	0.97	0.95	0.95