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Dergiler / Gazi University Journal of Science / 2019 / Cilt: 32 - Sayı: 2

Test Statistic for Ordered Alternatives based on Wilcoxon Signed Rank

Bülent ALTUNKAYNAK
Hamza GAMGAM
Sayfa
718–735
Yayın Tarihi
2019-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The simulation showed that the R test was inferior to the other tests for all cases.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper proposes a test statistic for ordered alternatives based on the Wilcoxon signed rank statistic.
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Temel Bulgular & Veri:One of the classical tests, Jonckheere-Terpstra’s J test, and the R test suggested by Chen et al. were used for type I error rate and power comparisons.
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Sonuç & Katkı:The simulation showed that the R test was inferior to the other tests for all cases.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ordered alternatives · Wilcoxon signed rank statistic · Simulation

Abstract

This paper proposes a test statistic for ordered alternatives based on the Wilcoxon signed rank statistic. One of the classical tests, Jonckheere-Terpstra’s J test, and the R test suggested by Chen et al. were used for type I error rate and power comparisons. For data generated from the normal distribution, all of the tests gave type I error rates close to nominal alpha. When the data were generated from chi-square distribution, the proposed G test and J test for type I error gave better results than the R test, but the error rates of the J test for Student’s t distribution are better than those of the others. Power results of simulation study for normal distributions showed that the proposed G test was superior to all other considered tests. The G and J tests for the data generated from Student’s t distributions performed well. When the data were generated from chi-square distributions, the proposed G test is more powerful than the others. The simulation showed that the R test was inferior to the other tests for all cases.

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Bu Makaleye Atıf Yap

ALTUNKAYNAK, B., GAMGAM, H. (2019). Test Statistic for Ordered Alternatives based on Wilcoxon Signed Rank. Gazi University Journal of Science, Cilt: 32 - Sayı: 2, 718–735. https://ajindex.com/articles/254551

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