Adjusted power-divergence test statistics for simple goodness-of-fit under clustered sampling

ALIN A.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, vol.84, no.9, pp.1904-1916, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 84 Issue: 9
  • Publication Date: 2014
  • Doi Number: 10.1080/00949655.2013.769988
  • Journal Name: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1904-1916
  • Keywords: Dirichlet-multinomial distribution, design effect, clustered sampling, power-divergence, penalization, CHI-SQUARED TESTS, CONTINGENCY-TABLES, INDEPENDENCE, PROPORTIONS, MODELS
  • Dokuz Eylül University Affiliated: Yes

Abstract

Two-different types of adjustments to the power-divergence test statistics have been introduced for the problem of testing goodness-of-fit under clustered sampling. Penalization has also been introduced to handle the cells with zero frequencies. The asymptotic distribution of the proposed power-divergence test statistics has been investigated under clustered sampling and the performances of the proposed statistics for finite samples have been studied through a designed simulation study.