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

Hasan Hüseyin Gül; Hülya Bayrak

doi:10.17776/csj.762235

EN

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

Abstract

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 Z_CombI, Z_CombII 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, Z_CombI and Z_CombII tests.

Keywords

Randomized complete block design, Completely randomized design, Page’s test, Hollander test

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Hasan Hüseyin Gül ^*
0000-0003-4280-4800
Türkiye

Hülya Bayrak
0000-0001-5666-4250
Türkiye

Publication Date

March 29, 2021

Submission Date

July 1, 2020

Acceptance Date

January 12, 2021

Published in Issue

Year 2021 Volume: 42 Number: 1

DOI

https://doi.org/10.17776/csj.762235

IZ

https://izlik.org/JA99TP72EF

APA

Gül, H. H., & Bayrak, H. (2021). Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design. Cumhuriyet Science Journal, 42(1), 191-200. https://doi.org/10.17776/csj.762235

AMA

1.Gül HH, Bayrak H. Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design. CSJ. 2021;42(1):191-200. doi:10.17776/csj.762235

Chicago

Gül, Hasan Hüseyin, and Hülya Bayrak. 2021. “Proposed Nonparametric Tests for the Ordered Alternative in a Completely Randomized and Randomized Block Mixed Design”. Cumhuriyet Science Journal 42 (1): 191-200. https://doi.org/10.17776/csj.762235.

EndNote

Gül HH, Bayrak H (March 1, 2021) Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design. Cumhuriyet Science Journal 42 1 191–200.

IEEE

[1]H. H. Gül and H. Bayrak, “Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design”, CSJ, vol. 42, no. 1, pp. 191–200, Mar. 2021, doi: 10.17776/csj.762235.

ISNAD

Gül, Hasan Hüseyin - Bayrak, Hülya. “Proposed Nonparametric Tests for the Ordered Alternative in a Completely Randomized and Randomized Block Mixed Design”. Cumhuriyet Science Journal 42/1 (March 1, 2021): 191-200. https://doi.org/10.17776/csj.762235.

JAMA

1.Gül HH, Bayrak H. Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design. CSJ. 2021;42:191–200.

MLA

Gül, Hasan Hüseyin, and Hülya Bayrak. “Proposed Nonparametric Tests for the Ordered Alternative in a Completely Randomized and Randomized Block Mixed Design”. Cumhuriyet Science Journal, vol. 42, no. 1, Mar. 2021, pp. 191-00, doi:10.17776/csj.762235.

Vancouver

1.Hasan Hüseyin Gül, Hülya Bayrak. Proposed nonparametric tests for the ordered alternative in a completely randomized and randomized block mixed design. CSJ. 2021 Mar. 1;42(1):191-200. doi:10.17776/csj.762235

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