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A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution
Abstract
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.
Keywords
References
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- 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.
- Davis AW. 1982. On the effects of the moderate multivariate nonnormality on Roy’s Largest Root Test. J American Stat Assoc, 77: 986-990.
- Holloway LN, Dunn OJ. 1967. The robustness of Hotelling’s T2. J American Stat Assoc, 62: 124-136.
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 1, 2019
Submission Date
November 18, 2018
Acceptance Date
February 13, 2019
Published in Issue
Year 2019 Volume: 2 Number: 2
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, and 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 (April 1, 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, and M. Şahin, “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”, BSJ Eng. Sci., vol. 2, no. 2, pp. 42–51, Apr. 2019, [Online]. Available: 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 (April 1, 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, et al. “A Monte Carlo Simulation Study Robustness of Manova Test Statistics in Bernoulli and Uniform Distribution”. Black Sea Journal of Engineering and Science, vol. 2, no. 2, Apr. 2019, pp. 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]. 2019 Apr. 1;2(2):42-51. Available from: https://izlik.org/JA77NU49EA