Simple linear regression with interval censored dependent and independent variables

• Published in: Statistical methods in medical research Vol. 27; no. 1; pp. 198 - 207
• Main Authors: de Lima Taga, Marcel F, Singer, Julio M
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01-01-2018; Sage Publications Ltd
• Subjects: Dependent variables; Economic models; Independent variables; Maximum likelihood estimators; Parameter estimation; Regression analysis; Regression models; Thresholds; Variables; interval censoring; Linear models; prediction interval
• ISSN: 0962-2802; 1477-0334
• DOI: 10.1177/0962280215626467

We consider a simple linear regression model that accommodates situations where both the dependent and the independent variables are interval censored. We obtain maximum likelihood estimators of its parameters and compare their performance with that of estimators derived under ordinary linear regression models. We also develop prediction intervals for the response and illustrate the results with data from an audiometric study designed to evaluate the possibility of prediction of behavioural thresholds from physiological thresholds.