Nonparametric Tests for Ordering in Completely Randomized and Randomized Block Mixed Designs
Rhonda Magel* and Alfred Ndungu
Department of Statistics, North Dakota State University Fargo, ND, USA
- *Corresponding Author:
- Rhonda Magel
Department of Statistics
North Dakota State University Fargo
ND 58102, USA
E-mail: [email protected]
Received Date: July 22, 2013; Accepted Date: August 26, 2013; Published Date: August 30, 2013
Citation: Magel R, Ndungu A (2013) Nonparametric Tests for Ordering in Completely Randomized and Randomized Block Mixed Designs. J Biomet Biostat 4:170. doi:10.4172/2155-6180.1000170
Copyright: © 2013 Magel R, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Two nonparametric tests are proposed in testing for k nondecreasing treatment effects under a mixed design consisting of a completely randomized portion and a randomized block portion. The randomized block portion may contain missing observations for some of the treatments within a block. A simulation study is conducted to estimate the powers of the two tests for 3, 4, and 5 treatments under a variety of different treatment effects and underlying distributions. Powers are estimated when the randomized block portion is 1/4, 1/3, 1/2, 1.0, 1.5, 2.0, 3.0 and 4.0 times the completely randomized portion. A recommendation as to which test has higher powers is given.