A method for sensitivity analysis to assess the effects of measurement error in multiple exposure variables using external validation data

Table 1 The mean (standard deviation), median, 0.05 and 0.95 quantiles, and mode for the Log Hazard Ratio (logHR) estimates for FV intake (per 100g per day) and average number of cigarettes smoked (per day) adjusted for the bias with multivariate and univariate methods, and also the unadjusted estimates that ignore measurement error, EPIC study 1992–2000

	LogHR estimate for FV intake \( {\widehat{\beta}}_{T_1} \)				LogHR estimate for cigarettes smoking \( {\widehat{\beta}}_{T_2} \)
Methods^a	mean (SD)	median	90 % CI	mode	mean (SD)	median	90 % CI	mode
Multivariate	-0.181 (0.090)	-0.157	-0.375, -0.078	-0.125	0.163 (0.079)	0.145	0.094;0.294	0.125
Univariate	-0.169 (0.082)	-0.147	-0.339, -0.077	-0.117	0.162 (0.077)	0.143	0.093;0.290	0.123
Unadjusted	-0.042 (0.007)	-0.042	-0.053, -0.031	-0.042	0.046 (0.002)	0.046	0.043;0.049	0.046

Abbreviation: CI is level of uncertainty in the range of literature-reported validity coefficient \( {\rho}_{T_i{Q}_i} \) expressed as a credible interval
^aThe results shown above were obtained by using the following (lower-upper) limits for the validity coefficients in estimating the variances for true intakes: 0.3–0.7 for FV intake, and 0.4–0.7 for cigarette smoking

ISSN: 1471-2288