Journals / Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering / 2013 / Cilt: 14 - Sayı: 3

A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION

BİR KONUM ÖLÇÜSÜ İLE k BAĞIMSIZ GRUBUN KARŞILAŞTIRILMASI İÇİN BİR TEST

Pages
241–249
Publication Date
2015-05-04
DOI
—
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AI Summary & Key Takeaways

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

It was fo und that the proposed test copes quite well under normality and homogeneity and it was much more preferable than those two traditional tests under non-normality and heterogeneity of variances

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It is well known that the conventional method for comparing k independent groups, one-way ANOVA F test, depends on normal theory assumptions.
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Key Findings & Data:The proposed test, ANOV A F test and its rank- based nonparametric counterpart Kruskal-Wallis test were compared in terms of saving nom nal Type I error via Monte Carlo simulations by using moderate sample sizes.
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Conclusion & Impact:It was fo und that the proposed test copes quite well under normality and homogeneity and it was much more preferable than those two traditional tests under non-normality and heterogeneity of variances
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Budanmış ortalama · Bootstrap-t · Gerçekleşen anlam düzeyi

Abstract

It is well known that the conventional method for comparing k independent groups, one-way ANOVA F test, depends on normal theory assumptions. In this work, a new test is proposed which is based on trimmed means and a bootstrap t method. The proposed test, ANOV A F test and its rank- based nonparametric counterpart Kruskal-Wallis test were compared in terms of saving nom nal Type I error via Monte Carlo simulations by using moderate sample sizes. It was fo und that the proposed test copes quite well under normality and homogeneity and it was much more preferable than those two traditional tests under non-normality and heterogeneity of variances

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Cite This Article

ÖZDEMİR, F., YILDIZTEPE, E. (2015). A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, Cilt: 14 - Sayı: 3, 241–249. https://ajindex.com/articles/197061

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References (7)

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