Influences of misspecification on asymptotic relative efficiency of coefficients of determination: Application to agriculture

Erees S., ALIN A.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.46, sa.3, ss.1842-1857, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/03610918.2015.1016238
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1842-1857
  • Anahtar Kelimeler: Asymptotic relative efficiency, Coefficients of determination, Land consolidation, Misspecification, LOGISTIC-REGRESSION, SURVIVAL ANALYSIS, TESTS, MODEL, R2
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.