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The power and type I error of Wilcoxon-Mann-Whitney, Welch's t, and student's t tests for Likert-type data      
Yazarlar
Doç. Dr. Ahmet Salih ŞİMŞEK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
Likert-type item is the most popular response format for collecting data in social, educational, and psychological studies through scales or questionnaires. However, there is no consensus on whether parametric or non-parametric tests should be preferred when analyzing Likert-type data. This study examined the statistical power of parametric and non-parametric tests when each Likert-type item was analyzed independently in survey studies. The main purpose of the study is to examine the statistical power of Wilcoxon-Mann-Whitney, Welch's t, and Student's t tests for Likert-type data, which are pairwise comparison tests. For this purpose, a Monte Carlo simulation study was conducted. The statistical significance of the selected tests was examined under the conditions of sample size, group size ratio, and effect size. The results showed that the Wilcoxon-Mann-Whitney test was superior to its counterparts, especially for small samples and unequal group sizes. However, the Student's t-test for Likert-type data had similar statistical power to the Wilcoxon-Mann-Whitney test under conditions of equal group sizes when the sample size was 200 or more. Consistent with the empirical results, practical recommendations were provided for researchers on what to consider when collecting and analyzing Likert-type data.
Anahtar Kelimeler
Likert,Wilcoxon-Mann-Whitney,Student’s t,Welch’s t,Unequal group size
Makale Türü Özgün Makale
Makale Alt Türü Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale
Dergi Adı International Journal of Assessment Tools in Education
Dergi ISSN 2148-7456
Dergi Tarandığı Indeksler ERIC
Makale Dili Türkçe
Basım Tarihi 03-2023
Cilt No 10
Sayı 1
Sayfalar 114 / 128
Doi Numarası 10.21449/ijate.1183622
Makale Linki https://doi.org/10.21449/ijate.1183622
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 1
Google Scholar 4
The power and type I error of Wilcoxon-Mann-Whitney, Welch's t, and student's t tests for Likert-type data

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