Influences of misspecification on asymptotic relative efficiency of coefficients of determination: Application to agriculture
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, vol.46, no.3, pp.1842-1857, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 3
- Publication Date: 2017
- Doi Number: 10.1080/03610918.2015.1016238
- Journal Name: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1842-1857
- Keywords: Asymptotic relative efficiency, Coefficients of determination, Land consolidation, Misspecification
- Dokuz Eylül University Affiliated: Yes
Abstract
Violation of correct specification may cause some undesirable results such as biased logistic regression coefficients and less efficient test statistics. In this paper, asymptotic relative efficiency (ARE) of various coefficients of determination in misspecified binary logistic regression models is investigated. Seven types of misspecification have been included. ARE of test statistics for exponential and Weibull distributions as a method of calculating optimal cutpoints is derived to demonstrate misspecification. Theoretical relationships between coefficients of determination have also been analyzed. Extensive simulations using bootstrap method and a real data application reveal more efficient one under various modeling scenarios.