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Table 2 The mean (standard deviation), median and mode of log hazard ratio estimates for fruit and vegetables (FV) intake and number of cigarettes smoked adjusted for the bias with the multivariate method in the sensitivity analysis by varying magnitudes of validity coefficients assumed for the DQs for FV intake \( \left({\rho}_{T_1{Q}_1}\right) \) and cigarettes \( \left({\rho}_{T_2{Q}_2}\right) \), 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

Validity coefficienta LogHR estimate for FV intake \( {\widehat{\beta}}_{T_1} \) LogHR for cigarettes smoking \( {\widehat{\beta}}_{T_2} \)
\( {\rho}_{T_1{Q}_1} \) \( {\rho}_{T_2{Q}_2} \) mean (SD) median mode mean (SD) median mode
0.3 0.3 -0.622 (0.227) -0.605 -0.567 0.546 (0.048) 0.537 0.527
  0.5 -0.520 (0.101) -0.517 -0.508 0.191 (0.012) 0.190 0.189
  0.7 -0.493 (0.083) -0.491 -0.484 0.096 (0.005) 0.096 0.096
0.5 0.3 -0.207 (0.067) -0.206 -0.203 0.522 (0.024) 0.522 0.521
  0.5 -0.182 (0.033) -0.182 -0.181 0.187 (0.008) 0.187 0.187
  0.7 -0.175 (0.028) -0.174 -0.173 0.095 (0.004) 0.095 0.095
0.7 0.3 -0.098 (0.030) -0.097 -0.096 0.517 (0.021) 0.517 0.518
  0.5 -0.090 (0.017) -0.090 -0.090 0.186 (0.008) 0.186 0.186
  0.7 -0.088 (0.015) -0.088 -0.088 0.095 (0.004) 0.095 0.095
1.0 0.3 -0.029 (0.009) -0.029 -0.029 0.513 (0.021) 0.514 0.517
  0.5 -0.038 (0.007) -0.038 -0.038 0.185 (0.008) 0.185 0.185
  0.7 -0.041 (0.007) -0.040 -0.040 0.094 (0.004) 0.094 0.095
  1.0 -0.042 (0.007) -0.042 -0.042 0.046 (0.002) 0.046 0.046
  1. a The validity coefficients used here for the sensitivity analysis are within the range reported in the literature