misclassified categorical response and/or the covariates by K¨uchenhoff et al. (2005), and is called the MC-SIMEX approach. To … original SIMEX approach. Carroll et al. (1996) developed a method for estimating the asymptotic variance. Here we derive the … asymptotic variance estimators for the MC-SIMEX approach, extending the methodology of Carroll et al. (1996). We also include the …