MANOVA Test İstatistiklerinin Monte-Carlo Simülasyonu ile Bernoulli Dağılımında Karşılaştırılması

Abstract

Bu çalışmanın amacı, Manova test istatistiklerinin sağlamlığını Monte Carlo simülasyonunu kullanılarak I.tip hata bakımından kıyaslamaktır. Yöntemde, sayılar g = 3,4,5 grup için p = 3,5,7 bağımlı değişkene ait n = 10,30,60 örneklem büyüklüğü kullanılarak sabit ve artan varyansta R programlama dili kullanılarak üretilmiştir. 54 kombinasyonda hesaplanan I.Tip hatalardan, nominal α =0.05 değerinden en az uzaklaşan test istatistiği Pillai İz test istatistiği olmuştur. Wilk Lambda ve Hotelling-Lawley İz test istatistikleri ise birbirlerine yakın sonuç vermişlerdir. Araştırıcılar analizlerinin karar aşamasında önerilen kıyaslama sonuçlarına göre karar verebilirler.

Keywords

• Manova test istatistiği,Simülasyon çalışması,Monte Carlo

A Monte Carlo Simulation Study Robustness of MANOVA Test Statistics in Bernoulli Distribution

Abstract

The aim of this study is to compare the robustness of Manova test statistics against Type I error rate using the Monte Carlo simulation technique. In the method, numbers are generated according to constant and increasing variance for g=3,4,5 group p=3,5,7 dependent variables n=10,30,60 sample size using the R. Numbers have been produced using these 54 combinations. Pillai Trace test statistic has been the least deviating from the nominal α =0.05 value. Wilk Lambda and Hotelling-Lawley Trace test results were close to each other. The researchers can decide according to the comparison results of the analysis's suggested decision stage.

Keywords

• Manova test statistics,Simulation study,Monte Carlo

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