Test statistic for combined treatment contrast under heterogeneous error variances and latin square design. | [Pakistan Journal of Statistics • 2014]

Author(s):

1. M. S. Albassam: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, KSA

2. M. A. Ali: Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, KSA

Abstract:

In this paper, we have proposed a combined studentized test statistic for testing the equality of treatment contrasts in case of groups of experiments in presence of heterogeneous error variances. The empirical distribution of the proposed approximate test statistic has been found using Monte Carlo study and the results have been compared with the study of James. From the Monte Carlo simulation study, it has been observed that the distribution of the proposed test statistic was not following χ2 distribution in all cases considered. Numerical illustration has also been provided.

Page(s): 345-360

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 30, Issue: 3, Year: 2014

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