International Journal of Advanced and Applied Sciences
Int. j. adv. appl. sci.
EISSN: 2313-3724
Print ISSN:2313-626X
Volume 3, Issue 8 (August 2016), Pages: 18-22
Title: Comparison of regression models in case of non‐normality and Heteroscedasticity
Authors: Seray Kahvecioglu, Berna Yazici *
Affiliations:
Anadolu University, Science Faculty, Department of Statistics, Eskisehir, Turkey
http://dx.doi.org/10.21833/ijaas.2016.08.004
Abstract:
In regression analysis, in case of comparing two regression models and coefficients where the distribution of variables in question is not known, generalized p values may be used. The generalized p value is an extended version of the classical p value which provides only approximate solutions. Use of approximate methods, generalized p value, has better results, performance with small samples. In this study, the generalized p value – which may be used alternatively when different assumptions aren’t fulfilled - is researched theoretically; a simulation is conducted and an application in regression analysis is given. It is concluded that in generalized p value works well for the comparison of regression coefficients both under non-normality and heteroscedasticity.
© 2016 The Authors. Published by IASE.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Keywords: Generalized p values, Generalized p values in regression, Regression analysis in case of Assumption violation, Comparison of regression coefficients
Article History: Received 4 July 2016, Received in revised form 14 August 2016, Accepted 14 August 2016
Digital Object Identifier: http://dx.doi.org/10.21833/ijaas.2016.08.004
Citation:
Kahvecioglu S and Yazici B (2016). Comparison of regression models in case of non‐normality and Heteroscedasticity. International Journal of Advanced and Applied Sciences, 3(8): 18-22
http://www.science-gate.com/IJAAS/V3I8/Kahvecioglu.html
References:
Sezer A, Ozkip E and Yazici B (2015). Comparison of confidence intervals for the behrens-fisher problem. Communications in Statistics-Simulation and Computation. DOI: 10.1080/03610918.2015.1082587. http://dx.doi.org/10.1080/03610918.2015.1082587 |
||||
Tsui KW and Weerahandi S (1989). Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association, 84(406): 602-607. http://dx.doi.org/10.1080/01621459.1989.10478810 http://dx.doi.org/10.2307/2289949 |
||||
Weerahandi S (2013). Exact statistical methods for data analysis. Springer Science & Business Media, New York, USA. PMid:22494855 |