ERIC Number: EJ1411242
Record Type: Journal
Publication Date: 2024
Pages: 57
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0049-1241
EISSN: EISSN-1552-8294
Available Date: N/A
Multiple Group Comparisons of the Fixed and Random Effects from the Generalized Linear Mixed Model
Daniel Kasper; Katrin Schulz-Heidorf; Knut Schwippert
Sociological Methods & Research, v53 n1 p448-504 2024
In this article, we extend Liao's test for across-group comparisons of the fixed effects from the generalized linear model to the fixed and random effects of the generalized linear mixed model (GLMM). Using as our basis the Wald statistic, we developed an asymptotic test statistic for across-group comparisons of these effects. The test can be applied when the fixed and random effects are multivariate normally distributed, and it works well for any link function and conditional distribution of the dependent variable of the GLMM. We also derived the asymptotic properties of this test, and because power information does not exist for either our new test statistic or Liao's test, we implemented a power study to demonstrate the superiority of these tests over the alternatively proposed F test. Using an example, we show the application of the test and then discuss its possible restrictions with respect to the distribution of the random effects.
Descriptors: Models, Achievement Tests, Foreign Countries, International Assessment, Reading Achievement, Reading Tests, Grade 4, Elementary Secondary Education, Mathematics Achievement, Mathematics Tests, Science Achievement, Science Tests, Regression (Statistics), Statistical Inference, Maximum Likelihood Statistics
SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: https://sagepub.com
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education; Grade 4; Intermediate Grades; Elementary Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Assessments and Surveys: Progress in International Reading Literacy Study; Trends in International Mathematics and Science Study
Grant or Contract Numbers: N/A
Author Affiliations: N/A