First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data

Background and Aim : Longitudinal data are frequently obtained in medical studies. When the main aim of a study is marginal modeling of the mean and the correlation structure is considered as a nuisance parameter, the first- order generalized estimating equations (GEE1) is usually an appropriate opt...

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Main Authors: Farid Zayeri, Somayeh Bardineshin, Ali reza Akbarzadeh-Bagheban, Mamak Adel, Saeid Asgari
Format: Article
Language:English
Published: Islamic Dental Association of Iran 2013-01-01
Series:Journal of Islamic Dental Association of Iran
Subjects:
Online Access:http://jidai.ir/browse.php?a_code=A-10-1-637&slc_lang=en&sid=1
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author Farid Zayeri
Somayeh Bardineshin
Ali reza Akbarzadeh-Bagheban
Mamak Adel
Saeid Asgari
author_facet Farid Zayeri
Somayeh Bardineshin
Ali reza Akbarzadeh-Bagheban
Mamak Adel
Saeid Asgari
author_sort Farid Zayeri
collection DOAJ
description Background and Aim : Longitudinal data are frequently obtained in medical studies. When the main aim of a study is marginal modeling of the mean and the correlation structure is considered as a nuisance parameter, the first- order generalized estimating equations (GEE1) is usually an appropriate option. However, when the modeling of correlation structure is considered the aim of a study, the second- order generalized estimating equations (GEE2) may be the first choice for analyzing the available data. The aim of the study was to evaluate application of first- and second-order generalized estimating equations to analyze longitudinal microleakage data.   Materials and Methods : In this study, GEE1 and GEE2 methods were used to analyze data obtained from a study of microleakage in two root- end filling materials (CEM and MTA) in two different thicknesses and two diameters at three different times of measurement (one day, one week and one month after treatment). The obtained results from these statistical approaches were compared in continuous and binary (presence of absence) microleakage data.   Results: The results from the GEE1 and GEE2 methods showed that time of measurement, material type, diameter and thickness of filling material had significant effects on (continuous) microleakage rate. In addition, in binary microleakage data, these methods revealed that only time and material type were the significant factors. The correlations between measurements were not significant in continuous data, while they were significant in binary response microleakage data .   Conclusion : Since the correlations between pairs of measurements were not significant in continuous microleakage data and the obtained estimates were similar in both GEE1 and GEE2 methods, so the simpler GEE1 method seems to be adequate for these data. In contrast, in binary microleakage data, significant correlations were found between measurements. Therefore, in this case the GEE2 methodology may be used to estimate the correlation structure more efficiently .
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spelling doaj.art-fbde8642bc0642c8829885d70303d9332022-12-21T19:15:53ZengIslamic Dental Association of IranJournal of Islamic Dental Association of Iran2383-30412383-30412013-01-01251615First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage DataFarid Zayeri0Somayeh Bardineshin1Ali reza Akbarzadeh-Bagheban2Mamak Adel3Saeid Asgari4 Assistant Professor, Proteomics Research Center, School of Paramedical Sciences, Shahid Beheshti University of Medical Sciences. Tehran, Iran MS Student, Department of Biostatistics, School of Paramedical Sciences, Shahid Beheshti University of Medical Sciences. Tehran, Iran Assistant Professor, Department of Biostatistics, School of Paramedical Sciences, Shahid Beheshti University of Medical Sciences. Tehran, Iran Assistant Professor, Department of Endodontics, School of Dentistry, Qazvin University of Medical Sciences. Qazvin, Iran. Professor, Endodontic Research Center, School of Dentistry, Shahid Beheshti University of Medical Sciences. Tehran, Iran Background and Aim : Longitudinal data are frequently obtained in medical studies. When the main aim of a study is marginal modeling of the mean and the correlation structure is considered as a nuisance parameter, the first- order generalized estimating equations (GEE1) is usually an appropriate option. However, when the modeling of correlation structure is considered the aim of a study, the second- order generalized estimating equations (GEE2) may be the first choice for analyzing the available data. The aim of the study was to evaluate application of first- and second-order generalized estimating equations to analyze longitudinal microleakage data.   Materials and Methods : In this study, GEE1 and GEE2 methods were used to analyze data obtained from a study of microleakage in two root- end filling materials (CEM and MTA) in two different thicknesses and two diameters at three different times of measurement (one day, one week and one month after treatment). The obtained results from these statistical approaches were compared in continuous and binary (presence of absence) microleakage data.   Results: The results from the GEE1 and GEE2 methods showed that time of measurement, material type, diameter and thickness of filling material had significant effects on (continuous) microleakage rate. In addition, in binary microleakage data, these methods revealed that only time and material type were the significant factors. The correlations between measurements were not significant in continuous data, while they were significant in binary response microleakage data .   Conclusion : Since the correlations between pairs of measurements were not significant in continuous microleakage data and the obtained estimates were similar in both GEE1 and GEE2 methods, so the simpler GEE1 method seems to be adequate for these data. In contrast, in binary microleakage data, significant correlations were found between measurements. Therefore, in this case the GEE2 methodology may be used to estimate the correlation structure more efficiently .http://jidai.ir/browse.php?a_code=A-10-1-637&slc_lang=en&sid=1MicroleakageLongitudinal studyGEE1GEE2
spellingShingle Farid Zayeri
Somayeh Bardineshin
Ali reza Akbarzadeh-Bagheban
Mamak Adel
Saeid Asgari
First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
Journal of Islamic Dental Association of Iran
Microleakage
Longitudinal study
GEE1
GEE2
title First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
title_full First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
title_fullStr First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
title_full_unstemmed First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
title_short First and Second Order Generalized Estimating Equations and Their Application in Analyzing Longitudinal Microleakage Data
title_sort first and second order generalized estimating equations and their application in analyzing longitudinal microleakage data
topic Microleakage
Longitudinal study
GEE1
GEE2
url http://jidai.ir/browse.php?a_code=A-10-1-637&slc_lang=en&sid=1
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