A Study on Tests of Hypothesis Based on Ridge Estimator

GÖKPINAR E., EBEGİL M.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.29, sa.4, ss.769-781, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.769-781
  • Anahtar Kelimeler: Biasing parameters, Ridge regression, Hypothesis testing, Type I error rate, Power of test, ORDINARY LEAST-SQUARES, REGRESSION ESTIMATORS, SHRINKAGE ESTIMATORS, SIMULATION, PARAMETERS, MODEL
  • Gazi Üniversitesi Adresli: Evet

Özet

The literature of Ridge regression include many articles that deal with point estimation of the coefficients vector. However, few of them tackle the statistical inference problem about or some of its components. One of them is introduced by Halawa and Basuiouni[1] who present non-exact tests based on Ridge regression by using two different biasing parameters (k) which are proposed by Hoerl and Kennard [2] and Hoer et al. [3]. Thus, we investigate others popular k values used the Ridge regression for testing significance of regression coefficients. We compare tests in terms of type I error rates and powers by using Monte Carlo simulation. In addition, a real data example is presented.