Title
An Empirical Study Of Statistical Properties Of Variance Partition Coefficients For Multi-Level Logistic Regression Models
Abstract
Partitioning the variance of a response by design levels is challenging for binomial and other discrete outcomes. Goldstein (2003) proposed four definitions for variance partitioning coefficients (VPC) under a two-level logistic regression model. In this study, we explicitly derived formulae for multi-level logistic regression model and subsequently studied the distributional properties of the calculated VPCs. Using simulations and a vegetation dataset, we demonstrated associations between different VPC definitions, the importance of methods for estimating VPCs (by comparing VPC obtained using Laplace and penalized quasilikehood methods), and bivariate dependence between VPCs calculated at different levels. Such an empirical study lends an immediate support to wider applications of VPC in scientific data analysis.
Year
DOI
Venue
2008
10.1080/03610910802361366
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Keywords
DocType
Volume
Empirical distribution, Laplacian approximation, Multi-level logistic models, Variance partition coefficients
Journal
37
Issue
ISSN
Citations 
10
0361-0918
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Jialiang Li1578.21
Brian R. Gray200.68
douglas m bates36445.64