Modified Nonparametric Tests for the Umbrella Alternative with Known Peak in a Mixed Design

Hassan Alsuhabi; Rhonda Magel

Hassan Alsuhabi Department of Statistics North Dakota State University Fargo, ND 58108, USA
Rhonda Magel Department of Mathematics Al-Qunfudah University College Umm Al-Qura University, Mecca, Saudi Arabia

Keywords: Completely randomized; Randomized complete block; Mixed design; Mack-Wolfe test; Kim-Kim test; Umbrella alternative; Peak known.

Abstract

The Mack-Wolfe and Kim-Kim statistics are two of the most commonly used non-parametric tests for the umbrella alternative problem when the underlying designs follow a CRD or an RCBD, respectively. In this paper, modifications of the Mack-Wolfe and Kim-Kim test are proposed to develop test statistics for the umbrella alternative with known peak when the data are mixture of a randomized complete block and a completely randomized design. The two proposed test statistics are compared to each other and some other existing tests. Results are given.

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