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

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Atıf İçin Kopyala

Gül H. H., BAYRAK H.

Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, cilt.22, sa.3, ss.560-569, 2022 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 22 Sayı: 3
• Basım Tarihi: 2022
• Doi Numarası: 10.35414/akufemubid.1107460
• Dergi Adı: Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
• Sayfa Sayıları: ss.560-569
• Gazi Üniversitesi Adresli: Evet

Özet

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.