. 2012 Oct 15;7(10):e47705. doi: 10.1371/journal.pone.0047705

Table 1. Mean values of regression coefficients a₁, a₂, d, c′, b₁ and b₂ based on standard logistic regressions, as well as the corrected coefficients , and based on the proposed approach.^* .

Matching		Genetic	Standard Approach						Our Approach
Status	Δ	Model	a₁	a₂	d	c′	b₁	b₂
Scenario I (true values):			0.4055	0.4055	0.6931	0.4055	1.0986	1.0986	0.4055	0.4055	0.6931
Unmatched	−	DOM	0.4615	0.4547	0.7551	0.4041	1.0967	1.0989	0.4119	0.4069	0.6942
	−	ADD	0.4415	0.4437	0.7354	0.4095	1.1034	1.1033	0.4021	0.4037	0.6758
	−	REC	0.4353	0.4316	0.7572	0.4023	1.1031	1.1013	0.4058	0.3950	0.6964
Matched on M₁	0	DOM	0.3085	0.4503	0.4408	0.4068	−0.1513	1.1010	0.3914	0.4021	0.6797
	0	ADD	0.2996	0.4409	0.4341	0.4073	−0.1906	1.0957	0.3901	0.3990	0.6786
	0	REC	0.2849	0.4397	0.4468	0.4079	−0.1389	1.1029	0.3792	0.4026	0.6865
	−0.05	DOM	0.3500	0.4502	0.5171	0.4072	0.1189	1.1003	0.3986	0.4020	0.6830
	−0.05	ADD	0.3331	0.4427	0.5046	0.4102	0.0753	1.1016	0.3976	0.4020	0.6786
	−0.05	REC	0.3329	0.4369	0.5181	0.4063	0.1326	1.1060	0.3927	0.3998	0.6850
	0.05	DOM	0.2853	0.4487	0.3852	0.4068	−0.3954	1.0989	0.3982	0.4005	0.6889
	0.05	ADD	0.2751	0.4445	0.3681	0.4030	−0.4297	1.0981	0.3982	0.4066	0.6742
	0.05	REC	0.2688	0.4389	0.3846	0.4049	−0.3824	1.0999	0.3929	0.4022	0.6889
	−0.1	DOM	0.3886	0.4554	0.5969	0.4056	0.4399	1.0999	0.3963	0.4074	0.6777
	−0.1	ADD	0.3722	0.4467	0.5809	0.4083	0.3915	1.0999	0.3998	0.4058	0.6696
	−0.1	REC	0.3719	0.4342	0.6081	0.4114	0.4570	1.1035	0.3922	0.3968	0.6902
	0.1	DOM	0.2603	0.4441	0.3165	0.4076	−0.6167	1.1080	0.4003	0.3956	0.6824
	0.1	ADD	0.2497	0.4411	0.3140	0.4094	−0.6532	1.1041	0.3987	0.3998	0.6828
	0.1	REC	0.2461	0.4401	0.3320	0.4079	−0.6077	1.1009	0.3987	0.4030	0.6960
Scenario II (true values):			0.3365	0.3365	0.3365	0.6931	0.4055	0.4055	0.3365	0.3365	0.3365
Unmatched	−	DOM	0.3817	0.3712	0.3530	0.6917	0.4097	0.4055	0.3432	0.3350	0.3365
	−	ADD	0.3631	0.3647	0.3473	0.6966	0.4074	0.4087	0.3384	0.3383	0.3327
	−	REC	0.3577	0.3518	0.3560	0.7030	0.4107	0.4046	0.3319	0.3256	0.3396
Matched on M₁	0	DOM	0.2901	0.3711	0.3078	0.6960	−0.0720	0.4098	0.3324	0.3341	0.3345
	0	ADD	0.2733	0.3681	0.2985	0.6938	−0.1272	0.4138	0.3283	0.3414	0.3256
	0	REC	0.2730	0.3627	0.3093	0.6934	−0.0568	0.4045	0.3243	0.3367	0.3355
	−0.05	DOM	0.3601	0.3756	0.3421	0.6921	0.3405	0.4063	0.3282	0.3393	0.3264
	−0.05	ADD	0.3369	0.3665	0.3395	0.6927	0.2725	0.4130	0.3308	0.3389	0.3276
	−0.05	REC	0.3498	0.3594	0.3440	0.6990	0.3613	0.4090	0.3288	0.3330	0.3281
	0.05	DOM	0.2363	0.3734	0.2688	0.6974	−0.3943	0.4090	0.3354	0.3364	0.3286
	0.05	ADD	0.2230	0.3623	0.2677	0.6928	−0.4428	0.4087	0.3228	0.3369	0.3269
	0.05	REC	0.2215	0.3655	0.2793	0.6944	−0.3818	0.4053	0.3308	0.3395	0.3387
	−0.1	DOM	0.4759	0.3664	0.3962	0.6986	0.9516	0.4044	0.3385	0.3298	0.3238
	−0.1	ADD	0.4299	0.3636	0.3845	0.6934	0.8454	0.4015	0.3352	0.3360	0.3153
	−0.1	REC	0.4452	0.3705	0.3952	0.6961	0.9827	0.4059	0.3280	0.3445	0.3225
	0.1	DOM	0.1888	0.3710	0.2477	0.6952	−0.6665	0.4027	0.3335	0.3347	0.3337
	0.1	ADD	0.1796	0.3636	0.2461	0.6963	−0.7098	0.4049	0.3203	0.3380	0.3318
	0.1	REC	0.1750	0.3497	0.2501	0.6975	−0.6562	0.4056	0.3330	0.3235	0.3369

DOM: dominant genetic model; ADD: additive genetic model; REC: recessive genetic model

All the results are based on 1,000 replicates, each with 1,000 disease cases and 1,000 disease controls.

Table 1. Mean values of regression coefficients a1, a2, d, c′, b1 and b2 based on standard logistic regressions, as well as the corrected coefficients , and based on the proposed approach.* .

Table 1. Mean values of regression coefficients a₁, a₂, d, c′, b₁ and b₂ based on standard logistic regressions, as well as the corrected coefficients , and based on the proposed approach.^* .