ROBUST 2(k) FACTORIAL DESIGNS: NON-NORMAL SYMMETRIC DISTRIBUTIONS

ŞENOĞLU B., ACITAŞ Ş., KASAP P.

PAKISTAN JOURNAL OF STATISTICS, vol.28, no.1, pp.93-114, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2012
  • Journal Name: PAKISTAN JOURNAL OF STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.93-114
  • Keywords: Modified maximum likelihood, Short-tailed symmetric family, Long-tailed symmetric family, Efficiency, Robustness, Non-normality, LINEAR-REGRESSION MODEL, PARAMETERS, SAMPLES
  • Anadolu University Affiliated: Yes

Abstract

Senoglu (2005, 2007a) considered the estimation and hypothesis testing procedures for the 2(k) factorial designs when the error distributions are skew. They obtained the modified maximum likelihood (MML) estimators of the model parameters and proposed new test statistics based on them. They show that their solutions are more efficient and robust than the classical solutions based on the least squares (LS) estimators via Monte Carlo simulation.