Araştırma Makalesi

A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution

Cilt: 2 Sayı: 2 1 Nisan 2019
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A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution

Öz

The aim of this study is to compare the robustness of Manova test statistics against the Type I error rate using the Monte Carlo simulation in Bernoulli and Uniform distribution. In the method, numbers have been 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 RStudio. The specified combinations have been repeated 10,000 times. As the result Pillai Trace test statistic has been the least deviating from the nominal α =0.05 value. Wilk Lambda and Hotelling-Lawley Trace test statistics results have been close to each other. Researchers can get help from these suggested results during their own study.

Anahtar Kelimeler

Kaynakça

  1. Alpar R. 2013. Uygulamalı çok değişkenli istatistiksel yöntemler. ISBN: 978-605-5437-42-8, Ankara, 886p.
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  3. Davis A W. 1980. On the effects of the moderate multivariate nonnormality on Wilks’s Likelihood Ratio Criterion. J American Stat Assoc, 67: 419-427.
  4. Davis AW. 1982. On the effects of the moderate multivariate nonnormality on Roy’s Largest Root Test. J American Stat Assoc, 77: 986-990.
  5. Holloway LN, Dunn OJ. 1967. The robustness of Hotelling’s T2. J American Stat Assoc, 62: 124-136.
  6. Hopkins JW, Clay PPF. 1963. Some emprical distribution of bivariate T2 and homoscedasticity criterion M under unecual variance and leptokurtosis. J American Stat Assoc, 58: 1048-1053.
  7. Hotelling H. 1931. The generalization of student's ratio. Annals Math Stat, 2: 360-378.
  8. Ito K. 1969. On the effect of homoscedasticity and nonnormality upon some multivariate procedures. Multivariate Analysis, 2: 87-120.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Nisan 2019

Gönderilme Tarihi

18 Kasım 2018

Kabul Tarihi

13 Şubat 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Koç, Ş., Çanga, D., Önem, A. B., Yavuz, E., & Şahin, M. (2019). A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution. Black Sea Journal of Engineering and Science, 2(2), 42-51. https://izlik.org/JA77NU49EA
AMA
1.Koç Ş, Çanga D, Önem AB, Yavuz E, Şahin M. A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution. BSJ Eng. Sci. 2019;2(2):42-51. https://izlik.org/JA77NU49EA
Chicago
Koç, Şeyma, Demet Çanga, Ayşe Betül Önem, Esra Yavuz, ve Mustafa Şahin. 2019. “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”. Black Sea Journal of Engineering and Science 2 (2): 42-51. https://izlik.org/JA77NU49EA.
EndNote
Koç Ş, Çanga D, Önem AB, Yavuz E, Şahin M (01 Nisan 2019) A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution. Black Sea Journal of Engineering and Science 2 2 42–51.
IEEE
[1]Ş. Koç, D. Çanga, A. B. Önem, E. Yavuz, ve M. Şahin, “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”, BSJ Eng. Sci., c. 2, sy 2, ss. 42–51, Nis. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA77NU49EA
ISNAD
Koç, Şeyma - Çanga, Demet - Önem, Ayşe Betül - Yavuz, Esra - Şahin, Mustafa. “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”. Black Sea Journal of Engineering and Science 2/2 (01 Nisan 2019): 42-51. https://izlik.org/JA77NU49EA.
JAMA
1.Koç Ş, Çanga D, Önem AB, Yavuz E, Şahin M. A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution. BSJ Eng. Sci. 2019;2:42–51.
MLA
Koç, Şeyma, vd. “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”. Black Sea Journal of Engineering and Science, c. 2, sy 2, Nisan 2019, ss. 42-51, https://izlik.org/JA77NU49EA.
Vancouver
1.Şeyma Koç, Demet Çanga, Ayşe Betül Önem, Esra Yavuz, Mustafa Şahin. A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution. BSJ Eng. Sci. [Internet]. 01 Nisan 2019;2(2):42-51. Erişim adresi: https://izlik.org/JA77NU49EA

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