Analysis of variance and linear contrasts in experimental design with generalized secant hyperbolic distribution

Yilmaz Y. E., AKKAYA A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.216, no.2, pp.545-553, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 216 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1016/j.cam.2007.06.001
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.545-553
  • Keywords: experimental design, non-normality, generalized secant hyperbolic, modified maximum likelihood, linear contrast, robustness, NON-NORMALITY, ROBUSTNESS, LOCATION, SAMPLES, RATIO
  • Middle East Technical University Affiliated: Yes

Abstract

We consider one-way classification model in experimental design when the errors have generalized secant hyperbolic distribution. We obtain efficient and robust estimators for block effects by using the modified maximum likelihood estimation (MML) methodology. A test statistic analogous to the normal-theory F statistic is defined to test block effects. We also define a test statistic for testing linear contrasts. It is shown that test statistics based on MML estimators are efficient and robust. The methodology readily extends to unbalanced designs. (C) 2007 Elsevier B.V. All rights reserved.