COMPARISON OF SOME EFFECT SIZE MEASURES IN SIMPLE AND MULTIPLE LINEAR REGRESSION MODELS

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

It is very important that the results of the statistical analysis are understandable. Therefore, while reporting the results ofstatistical analysis, some effect size measures should be given along with the P-value. In this study, some effect size measure(R2(Eta-Squared), R?2(Epsilon-Squared) and R?2(Omega-Squared)) were compared in terms of their performance (bias) insimple and multiple linear regression models. For this purpose, Monte Carlo simulation technique was used. Results ofsimulation runs showed that very small sample sizes caused the predictions of all three effect size measures to deviatesignificantly. On the other hand, deviations of all three effect size measures gradually decreased due to increased sample sizes.However, the R?2and R?2estimates were quite unbiased when compared to R2regardless of experimental conditions. Thus, itcould be concluded that reporting R?2or R?2is more appropriate to evaluate the practical significance along with P-values insimple and multiple linear regression models.

Açıklama

Anahtar Kelimeler

Matematik, İstatistik ve Olasılık

Kaynak

Eskişehir Technical University Journal of Science and and Technology A- Applied Sciences and Engineering

WoS Q Değeri

Scopus Q Değeri

Cilt

22

Sayı

1

Künye