Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design


GÜL H. H., BAYRAK H.

Cumhuriyet Science Journal, cilt.42, sa.1, ss.191-200, 2021 (Hakemli Dergi) identifier

Özet

Two nonparametric tests are proposed for the mixed design consisting of a randomized complete block and a completely randomized design to test for k nondecreasing treatment effects. The Hollander test and the Page test are used in randomized complete block design and completely randomized design, respectively. We compared the performance of the proposed tests against the 𝑍𝐶𝑜𝑚𝑏𝐼 , 𝑍𝐶𝑜𝑚𝑏𝐼𝐼 Page and Hollander tests. A Monte Carlo simulation study was conducted comparing the estimated powers of the tests 3, 4 and 5 treatments under various treatment effects and three different underlying distributions. In conclusion, the two proposed tests have higher powers than the Page, Hollander, 𝑍𝐶𝑜𝑚𝑏𝐼 and 𝑍𝐶𝑜𝑚𝑏𝐼𝐼 tests.