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:: Volume 21, Issue 1 (9-2016) ::
Andishe 2016, 21(1): 49-55 Back to browse issues page
Comparing two testing procedures in unbalanced two-way ANOVA models under heteroscedasticity‎: Approximate degree of freedom and parametric bootstrap approach
Fahimeh Boroomandi * , Mahmood Kharrati , Javad Behboodian
Shiraz university
Abstract:   (4834 Views)

‎The classic F-test is usually used for testing the effects of factors in homoscedastic two-way ANOVA models‎. ‎However‎, ‎the assumption of equal cell variances is usually violated in practice‎. ‎In recent years‎, ‎several test procedures have been proposed for testing the effects of factors‎. ‎In this paper‎, ‎the two methods that are approximate degree of freedom (ADF) and parametric bootstrap (PB) approaches are evaluated in terms of type one error and power‎. ‎The simulation results show that these two methods have satisfactory performance in terms of type one error and their power is very close to each other approximately‎. ‎However‎, ‎the ADF method is very easy to implement in comparison with PB appreach which is simulation-based method and consequently time consuming‎.  

Keywords: ‎Heteroscedatic two-way ANOVA‎, ‎Parametric bootstrap‎, ‎Approximate degree of freedom‎, T^2-Hotelling distribution‎.
Full-Text [PDF 243 kb]   (1575 Downloads)    
Type of Study: Research | Subject: Special
Received: 2016/05/1 | Accepted: 2016/10/22 | Published: 2016/10/22
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boroomandi F, kharrati M, behboodian J. Comparing two testing procedures in unbalanced two-way ANOVA models under heteroscedasticity‎: Approximate degree of freedom and parametric bootstrap approach. Andishe 2016; 21 (1) :49-55
URL: http://andisheyeamari.irstat.ir/article-1-423-en.html


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Volume 21, Issue 1 (9-2016) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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