Sample size issues in multilevel logistic regression models

Autoři: Amjad Ali aff001;  Sabz Ali aff001;  Sajjad Ahmad Khan aff001;  Dost Muhammad Khan aff002;  Kamran Abbas aff003;  Alamgir Khalil aff004;  Sadaf Manzoor aff001;  Umair Khalil aff002
Působiště autorů: Department of Statistics Islamia College, Peshawar, Pakistan aff001;  Department of Statistics, Abdul Wali Khan University Mardan, Pakistan aff002;  Department of Statistics, University of Azad Jammu & Kashmir, Muzaffarabad, Pakistan aff003;  Department of Statistics, University of Peshawar, Pakistan aff004
Vyšlo v časopise: PLoS ONE 14(11)
Kategorie: Research Article
prolekare.web.journal.doi_sk: 10.1371/journal.pone.0225427


Educational researchers, psychologists, social, epidemiological and medical scientists are often dealing with multilevel data. Sometimes, the response variable in multilevel data is categorical in nature and needs to be analyzed through Multilevel Logistic Regression Models. The main theme of this paper is to provide guidelines for the analysts to select an appropriate sample size while fitting multilevel logistic regression models for different threshold parameters and different estimation methods. Simulation studies have been performed to obtain optimum sample size for Penalized Quasi-likelihood (PQL) and Maximum Likelihood (ML) Methods of estimation. Our results suggest that Maximum Likelihood Method performs better than Penalized Quasi-likelihood Method and requires relatively small sample under chosen conditions. To achieve sufficient accuracy of fixed and random effects under ML method, we established ‘‘50/50” and ‘‘120/50” rule respectively. On the basis our findings, a ‘‘50/60” and ‘‘120/70” rules under PQL method of estimation have also been recommended.

Klíčová slova:

Simulation and modeling – Psychological and psychosocial issues – Analysis of variance – Normal distribution – Statistical models – Psychologists – Generalized linear model – Social epidemiology


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2019 Číslo 11