New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups

Comparison of treatment groups is frequently used in practical research in a variety of fields. The parametric ANOVA F test is most widely used to compare groups of treatment, specifically the means of three or more treatment groups. However, the parametric test usually requires normality of the dis...

Full description

Saved in:

Bibliographic Details
Main Author:	Alsaggaff, Ibtesam Ali
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/43503/1/Ibtesam%20Ali%20Alsaggaff24.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-usm-ep.43503
record_format	uketd_dc
spelling	my-usm-ep.435032019-04-12T05:26:12Z New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups 2013-06 Alsaggaff, Ibtesam Ali QA1 Mathematics (General) Comparison of treatment groups is frequently used in practical research in a variety of fields. The parametric ANOVA F test is most widely used to compare groups of treatment, specifically the means of three or more treatment groups. However, the parametric test usually requires normality of the distribution and homogeneity of variances. So, failure in meeting these assumptions leads to distortion of Type I error and substantial reduction in the power of the test. Therefore, the pseudo-median procedure which adopts the pseudo-median as a location parameter was developed for treatment groups comparison. This procedure is a modification of the one-sample nonparametric Wilcoxon procedure developed for more than two groups. The pseudo-median procedure is a summation of multiple paired comparisons between the control group and each of the treatment groups. In this study, the performance of the pseudo-median procedure is examined when the assumptions of normality and heterogeneity are violated. The Type I error is examined and a new power analysis of this procedure is proposed and carried out for more than two groups. Both Type I error and power analysis are performed under various degrees of homogeneity and different shapes of distributions. The bootstrap method is employed to generate a pseudo sampling distribution for the pseudo-median test statistic. 2013-06 Thesis http://eprints.usm.my/43503/ http://eprints.usm.my/43503/1/Ibtesam%20Ali%20Alsaggaff24.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1 Mathematics (General)
spellingShingle	QA1 Mathematics (General) Alsaggaff, Ibtesam Ali New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
description	Comparison of treatment groups is frequently used in practical research in a variety of fields. The parametric ANOVA F test is most widely used to compare groups of treatment, specifically the means of three or more treatment groups. However, the parametric test usually requires normality of the distribution and homogeneity of variances. So, failure in meeting these assumptions leads to distortion of Type I error and substantial reduction in the power of the test. Therefore, the pseudo-median procedure which adopts the pseudo-median as a location parameter was developed for treatment groups comparison. This procedure is a modification of the one-sample nonparametric Wilcoxon procedure developed for more than two groups. The pseudo-median procedure is a summation of multiple paired comparisons between the control group and each of the treatment groups. In this study, the performance of the pseudo-median procedure is examined when the assumptions of normality and heterogeneity are violated. The Type I error is examined and a new power analysis of this procedure is proposed and carried out for more than two groups. Both Type I error and power analysis are performed under various degrees of homogeneity and different shapes of distributions. The bootstrap method is employed to generate a pseudo sampling distribution for the pseudo-median test statistic.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Alsaggaff, Ibtesam Ali
author_facet	Alsaggaff, Ibtesam Ali
author_sort	Alsaggaff, Ibtesam Ali
title	New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
title_short	New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
title_full	New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
title_fullStr	New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
title_full_unstemmed	New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups
title_sort	new power analysis for the pseudo-median procedure for more than two groups
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2013
url	http://eprints.usm.my/43503/1/Ibtesam%20Ali%20Alsaggaff24.pdf
_version_	1747821228333203456

New Power Analysis For The Pseudo-Median Procedure For More Than Two Groups

Similar Items