Tamamlanmış Blok ve Tamamen Rasgele Tasarımdan Oluşan Bir Karma Tasarımda Genel Alternatif için Önerilen Testler

Year 2022, Volume: 22 Issue: 3, 560 - 569, 30.06.2022

Hasan Hüseyin Gül Hülya Bayrak

https://doi.org/10.35414/akufemubid.1107460

Cited By: 1

Abstract

Rasgele tamamlanmış blok ve tamamen rasgele bloktan oluşan bir karma tasarım altında, genel alternatifleri test etmek için iki parametrik olmayan test önerilmiştir. Bu makalede, önerilen testler Doksum testi, uyarlanmış Page testi ve Friedman testlerinin kombinasyonlarıdır. Farklı konum parametreleri ve örnek çapları altında 4 ve 5 işlem etkilerinin testlerinin güçlerini tahmin etmek için bir simülasyon çalışması yapılmıştır. Deneysel I. Tip hata oranı ve testin gücü bakımından testlerin performansları karşılaştırılmıştır. Simülasyon sonuçlarından, önerilen testlerden en az bir tanesinin diğer testlerden daha yüksek güç değerine sahip olduğu görülmüştür. Son olarak, önerilen testlerin kullanışlılığı, gerçek bir veri seti üzerinde uygulanmıştır.

Keywords

Friedman test, Doksum test, Uyarlanmış Page testi, Genel alternatif, Karma tasarım

Proposed Tests for The General Alternative in A Mixed Design Consist of Completely Randomized and Randomized Block Design

Abstract

Two nonparametric tests are proposed in testing for a general alternative under a mixed design consisting of a randomized complete block portion and a completely randomized block portion. In this paper, the proposed tests are a combination of the Doksum test, Modified Page test and Friedman test. A simulation study is conducted to estimate the powers of the tests for 4 and 5 treatment effects under a variety of different location parameters and sample sizes. We compare the performance of the tests in terms of the empirical type I error rates and power of tests. The simulation results show that at least one of the proposed test versions generally has higher power than the other tests. Finally, the usefulness of proposed tests is implemented on a real data set.

Keywords

Friedman test, Doksum test, Modified Page test, General alternative, Mixed design

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