Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA)
Other Title(s)
مقارنة بين بعض إحصاءات ويلكس الحصينة في تحليل التباين المتعدد المتغيرات في اتجاه واحد
Joint Authors
Amin, Abd Allah Abd al-Qadir
Abbas, Usamah Hadi
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 11, Issue 2 (30 Jun. 2019), pp.42-58, 17 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2019-06-30
Country of Publication
Iraq
No. of Pages
17
Main Subjects
Abstract EN
The classical Wilks' statistic is mostly used to test hypotheses in the one-way multivariate analysis of variance (MANOVA), which is highly sensitive to the effects of outliers.
The non-robustness of the test statistics based on normal theory has led many authors to examine various options.
In this paper, we presented a robust version of the Wilks' statistic and constructed its approximate distribution.
A comparison was made between the proposed statistics and some Wilks' statistics.
The Monte Carlo studies are used to obtain performance assessment of test statistics in different data sets.
Moreover, the results of the type I error rate and the power of test were considered as statistical tools to compare test statistics.
The study reveals that, under normally distributed, the type I error rates for the classical and the proposed Wilks' statistics are close to the true significance levels, and the power of the test statistics are so close.
In addition, in the case of contaminated distribution, the proposed statistic is the best.
American Psychological Association (APA)
Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. 2019. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 2, pp.42-58.
https://search.emarefa.net/detail/BIM-883435
Modern Language Association (MLA)
Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 2 (2019), pp.42-58.
https://search.emarefa.net/detail/BIM-883435
American Medical Association (AMA)
Amin, Abd Allah Abd al-Qadir& Abbas, Usamah Hadi. Comparison of some robust Wilks’ statistics for the one-way multivariate analysis of variance (MANOVA). al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 2, pp.42-58.
https://search.emarefa.net/detail/BIM-883435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 57
Record ID
BIM-883435