Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study

• Published in: Gazi University Journal of Science Vol. 27; no. 1
• Main Authors: GOKPINAR, Esra; Gazi University, Faculty of Science, Department of Statistics, Ankara, GUL, Hasan Hüseyin; Gazi University, Faculty of Science, Department of Statistics, Ankara, GOKPINAR, Fikri; Gazi University, Faculty of Science, Department of Statistics, Ankara, BAYRAK, Hülya; Gazi University, Faculty of Science, Department of Statistics, Ankara, OZONUR, Deniz; Gazi University, Faculty of Science, Department of Statistics, Ankara
• Format: Journal Article
• Language: English
• Published: GAZI UNIVERSITY JOURNAL OF SCIENCE 01.01.2014; Gazi Üniversitesi Yayınları
• Subjects: Bilim-Teknoloji; design of experiment, hypothesis testing; Permutation test, Page test, Hollander test, Modified Page test, Simulation study; Ankara; Türkiye; Hollander test; Simulation study; Permutation test; Modified Page test
• ISSN: 2147-1762

Randomized complete block design is one of the most used experimental designs in statistical analysis. For testing ordered alternatives in randomized complete block design, parametric tests are used if random sample are drawn from Normal distribution. If normality assumption is not provide, nonparametric methods are used. In this study, we are interested nonparametric tests and we introduce briefly the nonparametric tests, such as Page, Modified Page and Hollander tests. We also give Permutation Version of Page test. We compare the performance of these tests in terms of the empirical type I error rates and powers of tests.Key words: Permutation test, Page test, Hollander test, Modified Page test, Simulation study