Score-based tests for detecting heterogeneity in linear mixed models

  title={Score-based tests for detecting heterogeneity in linear mixed models},
  author={Ting Wang and Edgar C. Merkle and Joaquin A. Anguera and Brandon M. Turner},
  journal={Behavior Research Methods},
Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) can be complicated by heterogeneity stemming from random effects and residuals. When heterogeneity is present, tests of fixed effects (including cross-level interaction terms) are subject to inflated type I or type II error. While the impact of variance change/heterogeneity has been noticed in the literature, few methods have been proposed to detect this heterogeneity in a simple, systematic… 
1 Citations

Computation and application of generalized linear mixed model derivatives using lme4

Maximum likelihood estimation of generalized linear mixed models (GLMMs) is difficult due to marginalization of the random effects. Derivative computations of a fitted GLMM’s likelihood are also



Derivative Computations and Robust Standard Errors for Linear Mixed Effects Models in lme4

  • 2016

Score-based tests of measurement invariance: use in practice

A family of recently-proposed measurement invariance tests that are based on the scores of a fitted model that can be used to test for measurement invariances w.r.t. a continuous auxiliary variable, without pre-specification of subgroups is considered.

Implementing a class of structural change tests: An econometric computing approach

Tests for Parameter Instability and Structural Change with Unknown Change Point

This paper considers tests for parameter instability and structural change with unknown change point. The results apply to a wide class of parametric models that are suitable for estimation by

Tests of measurement invariance

  • 2013

Intraindividual Variability

  • F. T. Tyler
  • Teachers College Record: The Voice of Scholarship in Education
  • 1962

Centering in Two-Level Nested Designs

Panel Models in Sociological Research: Theory into Practice

A selection of panel studies appearing in the American Sociological Review and the American Journal of Sociology between 1990 and 2003 shows that sociologists have been slow to capitalize on the

EDF Statistics for Goodness of Fit and Some Comparisons

Abstract This article offers a practical guide to goodness-of-fit tests using statistics based on the empirical distribution function (EDF). Five of the leading statistics are examined—those often

A Linear Mixed-Effects Model with Heterogeneity in the Random-Effects Population

Abstract This article investigates the impact of the normality assumption for random effects on their estimates in the linear mixed-effects model. It shows that if the distribution of random effects