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Table 3 The mean (standard deviation), median, 0.05 and 0.95 quantiles and mode of the log hazard ratio estimates adjusted for the bias with the multivariate method in the sensitivity analysis by varying the magnitude of error correlation between DQ measurements for FV intake and average number of cigarettes smoked in a lifetime, EPIC study 1992–2000

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

Correlations LogHR estimate for FV intake \( {\widehat{\beta}}_{T_1} \) LogHR for cigarettes smoking \( {\widehat{\beta}}_{T_2} \)
\( {\rho}_{\epsilon_1{\epsilon}_2} \) \( {\overline{\widehat{\rho}}}_{T_1{T}_2} \) mean (SD) median 90 % CI mode mean (SD) median 90 % CI mode
-0.20 0.51 -0.301 (0.098) -0.294 -0.471, -0.155 -0.237 0.183 (0.064) 0.169 0.109, 0.304 0.151
-0.15 0.38 -0.277 (0.099) -0.264 -0.460, -0.137 -0.212 0.178 (0.067) 0.163 0.105, 0.305 0.143
-0.10 0.24 -0.247 (0.098) -0.228 -0.440, -0.117 -0.178 0.173 (0.070) 0.156 0.101, 0.303 0.135
-0.05 0.10 -0.207 (0.093) -0.184 -0.403, -0.096 -0.143 0.167 (0.075) 0.148 0.097, 0.295 0.130
0.00 -0.04 -0.159 (0.083) -0.136 -0.337, -0.069 -0.106 0.161 (0.083) 0.141 0.093, 0.286 0.118
0.10 -0.32 -0.038 (0.098) -0.045 -0.171, 0.126 -0.047 0.157 (0.075) 0.137 0.087, 0.294 0.116
  1. Abbreviation: CI is level of uncertainty in the range of literature-reported validity coefficient \( {\rho}_{T_i{Q}_i} \) expressed as a credible interval;
  2. \( {\overline{\widehat{\rho}}}_{T_1{T}_2} \) is posterior mean estimate for the correlation coefficient between true intake variables