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A Random-Effects Ordinal Regression Model for Multilevel Analysis
Abstract
A random-effects ordinal regression model is proposed for analysis of clustered or longitudinal ordinal response data. This model is developed for both the probit and logistic response functions. The threshold concept is used, in which it is assumed that the observed ordered category is determined by the value of a latent unobservable continuous response that follows a linear regression model incorporating random effects. A maximum marginal likelihood (MML) solution is described using Gauss-Hermite quadrature to numerically integrate over the distribution of random effects. An analysis of a dataset where students are clustered or nested within classrooms is used to illustrate features of random-effects analysis of clustered ordinal data, while an analysis of a longitudinal dataset where psychiatric patients are repeatedly rated as to their severity is used to illustrate features of the random-effects approach for longitudinal ordinal data.
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Citations
Cites
Random-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
Cited by
Gueorguieva, R., & Krystal, J. H. (2004) · Archives of General Psychiatry · doi:10.1001/archpsyc.61.3.310 · Cited by 1,529
Latent Variable Analysis: Growth Mixture Modeling and Related Techniques for Longitudinal Data
Muthén, B. (2004) · The SAGE Handbook of Quantitative Methodology for the Social Sciences · doi:10.4135/9781412986311.n19 · Cited by 1,534
Becoming a Habitual Voter: Inertia, Resources, and Growth in Young Adulthood
PLUTZER, E. (2002) · American Political Science Review · doi:10.1017/s0003055402004227 · Cited by 1,066
Application of random-effects pattern-mixture models for missing data in longitudinal studies.
Hedeker, D., & Gibbons, R. D. (1997) · Psychological Methods · doi:10.1037/1082-989x.2.1.64 · Cited by 907
Self-citationDesign and analysis of group-randomized trials: a review of recent methodological developments
Murray, D. M., Varnell, S. P., & Blitstein, J. L. (2004) · American Journal of Public Health · doi:10.2105/ajph.94.3.423 · Cited by 677
Metadata
- Authors
- Hedeker, D., & Gibbons, R. D.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1994-12
- Volume
- 50
- Issue
- 4
- Pages
- 933
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2075453825
- Cited by
- 704
- References
- 1
- FWCI
- 14.12
- Type
- journal article
- Language
- en
- Open access
- closed
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