Particle swarm optimization based ridge logistic estimator

İNAN D., Sancar N.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.49, sa.3, ss.669-683, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/03610918.2020.1713361
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, CAB Abstracts, Compendex, Computer & Applied Sciences, Veterinary Science Database, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.669-683
  • Marmara Üniversitesi Adresli: Evet

Özet

Logistic regression is a commonly used method when the dependent variable is dichotomous. However, it is known that the presence of multicollinearity significantly affects maximum likelihood estimations in logistic regression models. In this case, unstable estimates, in other words, parameter estimates with high variances, are obtained. To deal with this problem, a ridge-type estimator was proposed by Schaefer et al. Ridge regression shrinks the maximum likelihood estimation vector of regression coefficients, allowing a bias but providing a smaller variance. However, the selection of shrinkage parameter lambda in ridge logistic regression is an important matter. In this study, a new alternative approach based on particle swarm optimization is introduced to obtain an optimal shrinkage parameter. The performance of the new approach is evaluated by simulation studies and a real dataset application.