Table III.

Ratio of standard errors for standard regression calibration (RC1), calibration study RC (RC2), moment reconstruction (MR) and multiple imputation (IM) relative to efficient regression calibration (ERC), as a function of correlations between the true covariate X and outcome variable Y and between X and the measured covariate W.

ρXY*	ρXW†	RC1	RC2	ERC	MR	IM
0.20	0.20	1.41	1.41	1	1.35	1.32
0.20	0.40	1.10	2.36	1	2.29	2.12
0.20	0.60	1.04	3.81	1	3.69	3.04
0.20	0.80	1.01	6.61	1	6.40	4.00
0.40	0.20	2.36	1.10	1	0.95	0.93
0.40	0.40	1.41	1.41	1	1.21	1.14
0.40	0.60	1.16	1.99	1	1.72	1.50
0.40	0.80	1.05	3.21	1	2.77	1.94
0.60	0.20	3.81	1.04	1	0.76	0.76
0.60	0.40	1.99	1.16	1	0.85	0.84
0.60	0.60	1.41	1.41	1	1.03	0.99
0.60	0.80	1.15	2.04	1	1.49	1.24
0.80	0.20	6,61	1.01	1	0.74	0.74
0.80	0.40	3.21	1.05	1	0.77	0.77
0.80	0.60	2.04	1.15	1	0.84	0.83
0.80	0.80	1.41	1.41	1	1.03	0.93

^*ρ_XY is the correlation between X and Y.

^†ρ_XW is the correlation between X and W.