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Journals / Türkiye Tarımsal Araştırmalar Dergisi / 2019 / Cilt: 6 Sayı: 2

Comparison of ANOM and ANOMTR Tests with Regard to Performances

ANOM ve ANOMTR Testlerinin Performansları Bakımından Karşılaştırılması

Soner Yiğit(Çanakkale Onsekiz Mart Üniversitesi, Ziraat Fakültesi, Zootekni Bölümü, Çanakkale)0000-0002-2899-2246
Pages
193–198
Publication Date
2019-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As long as the variances were homogeneous, the ANOMTR test has given very reliable results regardless of the shape of the distribution and the number of replications.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, one-way ANOM (Analysis of Means) and ANOMTR (Analysis of Means Based on Transformed Ranks) tests were compared in non-normal distributions with homogeneous variances in terms of the Type I error rate and test power.
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Key Findings & Data:As a result of 100.000 simulation experiments conducted, regardless of the experimental conditions considered, actual Type I error rates occurred in ANOMTR was within the limits of 4.50-5.50%.
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Conclusion & Impact:As long as the variances were homogeneous, the ANOMTR test has given very reliable results regardless of the shape of the distribution and the number of replications.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:ANOM · ANOMTR · 1. tip hata

Abstract

In this study, one-way ANOM (Analysis of Means) and ANOMTR (Analysis of Means Based on Transformed Ranks) tests were compared in non-normal distributions with homogeneous variances in terms of the Type I error rate and test power. As a result of 100.000 simulation experiments conducted, regardless of the experimental conditions considered, actual Type I error rates occurred in ANOMTR was within the limits of 4.50-5.50%. However, it was observed that actual Type I error rates occurred in ANOM test was generally not within these limits. The ANOM test was found to be affected quite negatively by the kurtosis rather than the skewness of the distribution. As long as the variances were homogeneous, the ANOMTR test has given very reliable results regardless of the shape of the distribution and the number of replications.

Özet

Bu çalışmada, tek yönlü Ortalamaların Analizi (ANOM) ve Transforme Edilmiş Ranklara Dayalı Ortalamaların Analizi (ANOMTR) testleri varyansları homojen normal olmayan dağılımlarda 1. tip hata olasılığı ve testin gücü bakımından karşılaştırılmıştır. Yapılan 100000 simülasyon denemesi sonucunda, dikkate alınan deneme koşulları ne olursa olsun ANOMTR testi bakımından gerçekleşen 1. tip hata olasılıkları % 4.50-5.50 içinde kalmıştır. Ancak ANOM testi bakımından gerçekleşen 1. tip hata olasılıklarının genel olarak bu sınırlar içerisinde kalmadığı görülmüştür. ANOM testinin dağılımın eğriliğinden ziyade, dikliğinden oldukça olumsuz etkilendiği tespit edilmiştir. Varyanslar homojen olduğu sürece, dağılımın şekli ve tekerrür sayısı ne olursa olsun ANOMTR testi oldukça güvenilir sonuçlar vermiştir.

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Cite This Article

Yiğit, S., *, S. Y. (2019). Comparison of ANOM and ANOMTR Tests with Regard to Performances. Türkiye Tarımsal Araştırmalar Dergisi, Cilt: 6 Sayı: 2, 193–198. https://doi.org/10.19159/tutad.524099

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