2012/12/04 by Jalmar M. F. Carrasco, Carrasco, Jalmar M. F., Silvia L. P. Ferrari +3
Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #Methodology (stat.ME) #Optimal Experimental Design Methods #Statistical Methods and Bayesian Inference
paper · pdf · doi:10.48550/arxiv.1212.0870
openalex publication_date 2012/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models that allow for explanatory variables to be measured with error. The structural approach, in which the covariates measured with error are assumed to be random variables, is employed. Three estimation methods are presented, namely maximum likelihood, maximum pseudo-likelihood and regression calibration. Monte Carlo simulations are used to evaluate the performance of the proposed estimators and the naïve estimator. Also, a residual analysis for beta regression models with measurement errors is proposed. The results are illustrated in a real data set.