analysis of dependent repeated data by using univariate and multivariate approaches : a comparison study using simulation
Other Title(s)
تحليل البيانات المكررة المترابطة بأستخدام أساليب أحادية المتغير و متعدد المتغيرات : دراسة مقارنة باستخدام المحاكاة
Dissertant
Surji, Evar Lutf Allah Sadr al-Din
Thesis advisor
Comitee Members
University
Salahaddin University-Hawler
Faculty
College of Science
Department
Mathematics Department
University Country
Iraq
Degree
Master
Degree Date
2010
English Abstract
Gabbara (1994) developed a general method to analyze a repeated measures model when the covariance matrix has certain structure (pattern).
Let 11 12 be the vector of observations on the individual.
It is assumed that the Yi are independently normally distributed with mean and structured covariance matrix 0.
Different procedures are used to test hypotheses about i.
Certain Analysis of Variance (ANOVA) models with correlated data that have the same structure of the covariance matrix of Gabbara (1994) are used as applications.
For this, two cases are considered.
In case I, each individual receives the same treatments and hence has the same mean vector while in case II, different individuals receive different treatments and hence have different mean vectors.
A comparison has been made between univariate approaches including ANOVA and Repeated Measures Model (RMM), and multivariate approaches including Multivariate One Sample Model (MOSM) and Generalized Multivariate Linear Model (GMLM), where for the first case, ANOVA, RMM and MOSM procedures are used while for the second case, RMM and GMLM are used.
For this purpose, a simulation study has been conducted to generate data with covariance matrix that have the same structure as that of the covariance matrix of the RMM of Gabbara (1994).
In general, the results of type I error rates have shown that the RMM procedure is better, in comparison to the other used procedures.
Main Subjects
Topics
No. of Pages
83
Table of Contents
Table of contents.
Abstract.
Chapter One : introduction.
Chapter Two : the repeated measures model.
Chapter Three : applications.
Chapter Four : applications using simulation.
Chapter Five : conclusion.
References.
American Psychological Association (APA)
Surji, Evar Lutf Allah Sadr al-Din. (2010). analysis of dependent repeated data by using univariate and multivariate approaches : a comparison study using simulation. (Master's theses Theses and Dissertations Master). Salahaddin University-Hawler, Iraq
https://search.emarefa.net/detail/BIM-311124
Modern Language Association (MLA)
Surji, Evar Lutf Allah Sadr al-Din. analysis of dependent repeated data by using univariate and multivariate approaches : a comparison study using simulation. (Master's theses Theses and Dissertations Master). Salahaddin University-Hawler. (2010).
https://search.emarefa.net/detail/BIM-311124
American Medical Association (AMA)
Surji, Evar Lutf Allah Sadr al-Din. (2010). analysis of dependent repeated data by using univariate and multivariate approaches : a comparison study using simulation. (Master's theses Theses and Dissertations Master). Salahaddin University-Hawler, Iraq
https://search.emarefa.net/detail/BIM-311124
Language
English
Data Type
Arab Theses
Record ID
BIM-311124
