International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2020, Vol. 5, Issue 3, Part B

Nonparametric test for the umbrella alternative with known peak in a mixed design


Author(s): Rhonda Magel and Samah Al-Thubaiti

Abstract: This paper proposes test statistics for detecting umbrella alternative with known peak when the data are a mixture of a randomized complete block and a completely randomized design. Modifications of the Mack-Wolfe and Kim-Kim test are proposed to develop the two statistics for a mixed design. The exact mean and variance of the modified versions of Mack-Wolfe and Kim-Kim test statistic under the null distribution are derived. The proposed test statistics are compared, through a simulation study, to each other and with some of the existing tests in terms of assessing the power and the type I error. Results are given.

Pages: 122-128 | Views: 127 | Downloads: 10

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How to cite this article:
Rhonda Magel, Samah Al-Thubaiti. Nonparametric test for the umbrella alternative with known peak in a mixed design. Int J Stat Appl Math 2020;5(3):122-128.
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