Testing Complex a Priori Contrasts on Means from Independent Samples

Richard L. Kohr and Paul A. Games

Journal of Educational and Behavioral Statistics, 1977, vol. 2, issue 3, 207-216

Abstract: The robustness of the t statistic on complex contrasts, ψ, using MS W in the estimate of s ψ is compared with that of t†, a statistic derived by Welch (1947) . The t statistic is robust to violations of the homogeneity of variance assumption only if n's are equal and all weights have the same absolute value. The Welch t†is robust for all combinations explored with any set of weights and either equal or unequal n's. Since heterogeneous variances are often encountered in behavioral experiments, the Welch t†is recommended as the benchmark test for complex contrasts.

Keywords: Complex Contrasts; Monte Carlo; Welch “t†Statistic; Unequal n's; Heterogeneous Variances; Means; t Statistic (search for similar items in EconPapers)
Date: 1977
References: Add references at CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.3102/10769986002003207 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:2:y:1977:i:3:p:207-216

DOI: 10.3102/10769986002003207

Access Statistics for this article

More articles in Journal of Educational and Behavioral Statistics
Bibliographic data for series maintained by SAGE Publications ().