Table 1

The coverage probability and the average length (in parentheses) of the 95% confidence interval in application of (1–5) for the situations, in which the OR=1, 2, 4, 8, 32; the probabilities p₁ and p₁₂ equal: 0.01 and 0.005; 0.10 and 0.005; 0.50 and 0.25; 0.8 and 0.4; such that the combination of these parameters leads to a valid set of probabilities for which p_ij >0 for i and j=1, 2; and n=30, 50, 100, and 200

OR		p_1.		p₁₂		AR		n=
								20				50			100				200
								(1)	(2)			(3)	(4)		(5)	(1)			(2)	(3)	(4)	(5)	(1)	(2)	(3)	(4)	(5)	(1)	(2)	(3)	(4)	(5)
1	0.01	0.005	0.00	1.00	0.000^1-150	0.000^1-150	1.00	1.00		1.00	0.000^1-150	0.000^1-150	1.00	1.00	0.999	0.000^1-150	0.000^1-150	1.00	0.999		0.993	0.000^1-150	0.000^1-150	0.993	0.993
				(0.443)	(0.821)	(0.508)	(0.449)	(0.406)		(0.225)	(0.344)	(0.272)	(0.226)	(0.217)	(0.147)	(0.192)	(0.164)	(0.148)	(0.145)		(0.102)	(0.124)	(0.108)	(0.103)	(0.101)
	0.10	0.05	0.00	0.994	0.000^1-150	0.000^1-150	0.998	0.997		0.956	0.000^1-150	0.000^1-150	0.963	0.963	0.947	0.000^1-150	0.000^1-150	0.955	0.951		0.955	0.000^1-150	0.000^1-150	0.960	0.956
				(0.958)	(0.817)	(0.570)	(1.12)	(0.881)		(0.580)	(0.593)	(0.448)	(0.646)	(0.559)	(0.332)	(0.549)	(0.440)	(0.347)	(0.326)		(0.194)	(0.520)	(0.423)	(0.195)	(0.192)
	0.50	0.25	0.00	0.938^1-150	0.000^1-150	0.000^1-150	0.976	0.950		0.952	0.000^1-150	0.000^1-150	0.961	0.958	0.953	0.000^1-150	0.000^1-150	0.956	0.957		0.952	0.000^1-150	0.000^1-150	0.953	0.954
				(1.58)	(0.932)	(0.817)	(1.98)	(1.45)		(0.839)	(0.916)	(0.752)	(0.865)	(0.809)	(0.571)	(0.855)	(0.693)	(0.579)	(0.560)		(0.397)	(0.779)	(0.633)	(0.400)	(0.394)

2	0.01	0.005	0.005	1.00	0.866^1-150	0.866^1-150	1.00	1.00		1.00	0.860^1-150	0.861^1-150	1.00	1.00	1.00	0.892^1-150	0.892^1-150	1.00	1.00		0.998	0.858^1-150	0.858^1-150	0.999	0.999
				(0.423)	(0.821)	(0.508)	(0.428)	(0.388)		(0.203)	(0.336)	(0.269)	(0.204)	(0.196)	(0.125)	(0.178)	(0.155)	(0.125)	(0.122)		(0.079)	(0.102)	(0.092)	(0.080)	(0.079)
	0.10	0.05	0.05	0.998	0.906^1-150	0.910^1-150	1.00	1.00		0.985	0.871^1-150	0.875^1-150	0.993	0.992	0.967	0.870^1-150	0.881^1-150	0.974	0.975		0.962	0.903^1-150	0.907^1-150	0.964	0.966
				(0.752)	(0.790)	(0.540)	(0.828)	(0.691)		(0.407)	(0.471)	(0.359)	(0.430)	(0.393)	(0.230)	(0.366)	(0.295)	(0.235)	(0.226)		(0.140)	(0.269)	(0.229)	(0.140)	(0.139)
	0.50	0.25	0.25	0.943	0.840^1-150	0.908^1-150	0.982	0.983		0.945	0.893^1-150	0.924^1-150	0.953	0.961	0.947	0.921^1-150	0.940	0.951	0.957		0.949	0.936^1-150	0.949	0.951	0.954
				(1.08)	(0.848)	(0.707)	(1.28)	(0.994)		(0.596)	(0.707)	(0.566)	(0.612)	(0.576)	(0.411)	(0.511)	(0.426)	(0.416)	(0.404)		(0.288)	(0.324)	(0.294)	(0.290)	(0.285)

4	0.01	0.005	0.008	1.00	0.866^1-150	0.866^1-150	1.00	1.00		1.00	0.881^1-150	0.881^1-150	1.00	1.00	1.00	0.892^1-150	0.948	1.00	1.00		0.999	0.944	0.944	0.999	0.999
				(0.413)	(0.821)	(0.508)	(0.417)	(0.379)		(0.192)	(0.332)	(0.267)	(0.193)	(0.185)	(0.113)	(0.171)	(0.151)	(0.113)	(0.111)		(0.068)	(0.091)	(0.084)	(0.068)	(0.068)
	0.10	0.05	0.075	0.999	0.961	0.964	1.00	1.00		0.994	0.945	0.955	0.995	0.995	0.979	0.944	0.949	0.980	0.981		0.965	0.944	0.948	0.966	0.969
				(0.648)	(0.776)	(0.524)	(0.691)	(0.595)		(0.324)	(0.394)	(0.311)	(0.334)	(0.313)	(0.181)	(0.254)	(0.214)	(0.183)	(0.178)		(0.113)	(0.152)	(0.139)	(0.113)	(0.112)
	0.50	0.25	0.375	0.979	0.946	0.986	0.986	0.992		0.947	0.923^1-150	0.951	0.955	0.971	0.945	0.936^1-150	0.953	0.949	0.956		0.947	0.947	0.956	0.949	0.953
				(0.813)	(0.755)	(0.621)	(0.927)	(0.759)		(0.454)	(0.505)	(0.432)	(0.465)	(0.442)	(0.316)	(0.333)	(0.309)	(0.320)	(0.312)		(0.223)	(0.227)	(0.219)	(0.224)	(0.221)
	0.80	0.40	0.600	0.955	0.931^1-150	1.00	0.967	0.996		0.922^1-150	0.910^1-150	0.964	0.947	0.957	0.936^1-150	0.930^1-150	0.963	0.950	0.953		0.943	0.943	0.956	0.950	0.952
				(0.832)	(0.678)	(0.675)	(1.06)	(0.825)		(0.524)	(0.549)	(0.481)	(0.565)	(0.514)	(0.370)	(0.378)	(0.354)	(0.384)	(0.366)		(0.262)	(0.264)	(0.256)	(0.266)	(0.260)

8	0.01	0.005	0.009	1.00	0.866^1-150	0.949	1.00	1.00		1.00	0.882^1-150	0.882^1-150	1.00	1.00	1.00	0.948	0.948	1.00	1.00		1.00	0.955	0.955	1.00	1.00
				(0.408)	(0.821)	(0.507)	(0.412)	(0.374)		(0.187)	(0.330)	(0.266)	(0.188)	(0.180)	(0.107)	(0.167)	(0.149)	(0.108)	(0.105)		(0.063)	(0.086)	(0.081)	(0.063)	(0.062)
	0.10	0.05	0.088	0.999	0.979	0.987	1.00	1.00		0.993	0.972	0.980	0.991	0.981	0.976	0.965	0.969	0.974	0.973		0.963	0.960	0.965	0.964	0.965
				(0.596)	(0.768)	(0.516)	(0.624)	(0.547)		(0.285)	(0.351)	(0.286)	(0.290)	(0.275)	(0.159)	(0.199)	(0.177)	(0.160)	(0.156)		(0.100)	(0.113)	(0.108)	(0.100)	(0.099)
	0.50	0.25	0.438	0.984	0.979	0.998	0.976	0.977		0.963	0.957	0.977	0.967	0.970	0.949	0.948	0.960	0.953	0.959		0.947	0.948	0.953	0.949	0.952
				(0.686)	(0.688)	(0.568)	(0.758)	(0.646)		(0.377)	(0.398)	(0.361)	(0.385)	(0.369)	(0.261)	(0.266)	(0.256)	(0.264)	(0.259)		(0.184)	(0.186)	(0.182)	(0.185)	(0.183)
	0.80	0.40	0.700	0.991	0.988	1.00	0.967	0.988		0.937^1-150	0.926^1-150	0.983	0.966	0.979	0.930^1-150	0.927^1-150	0.952	0.946	0.956		0.940	0.939^1-150	0.950	0.948	0.952
				(0.654)	(0.581)	(0.591)	(0.841)	(0.671)		(0.399)	(0.407)	(0.381)	(0.431)	(0.399)	(0.281)	(0.284)	(0.275)	(0.292)	(0.281)		(0.200)	(0.200)	(0.198)	(0.203)	(0.200)

32	0.01	0.005	0.010	1.00	0.949	0.949	1.00	1.00		1.00	0.967	0.967	1.00	1.00	1.00	0.948	0.967	1.00	1.00		1.00	0.971	0.971	1.00	1.00
				(0.405)	(0.821)	(0.507)	(0.408)	(0.371)		(0.183)	(0.329)	(0.266)	(0.183)	(0.176)	(0.103)	(0.165)	(0.147)	(0.103)	(0.101)		(0.059)	(0.082)	(0.078)	(0.059)	(0.058)
	0.10	0.05	0.097	1.00	0.979	0.992	1.00	1.00		0.979	0.981	0.985	0.980	0.980	0.973	0.979	0.983	0.974	0.972		0.954	0.972	0.974	0.954	0.954
				(0.557)	(0.762)	(0.510)	(0.575)	(0.511)		(0.257)	(0.316)	(0.268)	(0.259)	(0.248)	(0.145)	(0.165)	(0.155)	(0.145)	(0.142)		(0.092)	(0.096)	(0.094)	(0.092)	(0.091)
	0.50	0.25	0.484	0.983	0.993	0.999	0.973	0.957		0.968	0.979	0.983	0.962	0.954	0.960	0.965	0.967	0.961	0.949		0.955	0.955	0.957	0.954	0.951
				(0.598)	(0.627)	(0.526)	(0.642)	(0.568)		(0.323)	(0.331)	(0.312)	(0.328)	(0.319)	(0.218)	(0.220)	(0.215)	(0.220)	(0.217)		(0.152)	(0.152)	(0.150)	(0.152)	(0.151)
	0.80	0.40	0.775	0.994	1.00	0.992	0.963	0.928^1-150		0.982	0.985	0.979	0.959	0.951	0.965	0.965	0.970	0.967	0.962		0.949	0.950	0.956	0.955	0.956
				(0.534)	(0.505)	(0.519)	(0.676)	(0.564)		(0.297)	(0.299)	(0.294)	(0.318)	(0.307)	(0.199)	(0.199)	(0.198)	(0.205)	(0.203)		(0.138)	(0.138)	(0.138)	(0.140)	(0.140)

↵1-150 Denotes the coverage probability is less than the desired 95% confidence level by more than 1.0%.