Nonparametric tests for the umbrella alternative in a mixed design
Author(s): Boampong Asare and Rhonda Magel
Abstract: Various tests are proposed to test for differences in treatment means assuming an umbrella alternative, if the means are different. The tests are for a mixed design consisting of a CRD, an RCBD and a BIBD. All tests considered have an asymptotic normal distribution under the null hypothesis. Powers are estimated for a variety of underlying distributions including normal, exponential, and t-distribution with 3 degrees of freedom. Three, four and five populations are considered. Different peak points are considered. Cases are considered in which the peak mean is the same as another mean and when it is distinct. An overall recommendation is given for one test statistic for all the underlying distributions.
Boampong Asare, Rhonda Magel. Nonparametric tests for the umbrella alternative in a mixed design. Int J Stat Appl Math 2025;10(6):64-70. DOI: 10.22271/maths.2025.v10.i6a.2060
