The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Bayesian inference for variance components using only error contrasts
Abstract
Patterson & Thompson (1971) proposed estimating the variance components of a mixed analysis of variance model by maximizing the likelihood of a set of error contrasts. In the present paper, a convenient representation is obtained for that likelihood. It is shown that, from a Bayesian viewpoint, using only error contrasts to make inferences on variance components is equivalent to ignoring any prior information on the fixed effects and using all the data.
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Citations
Cites
ON HOTELLING'S GENERALIZATION OF T2
PILLAI, K. C. S., & SAMSON, P. (1959) · Biometrika · doi:10.1093/biomet/46.1-2.160 · Cited by 33
Cited by
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
Singer, J. D., & Willett, J. B. (2003) · doi:10.1093/acprof:oso/9780195152968.001.0001 · Cited by 10,647
Random-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
Self-citationA General Statistical Analysis for fMRI Data
Worsley, K. J., Liao, C. H., Aston, J., Petre, V., Duncan, G. H., Morales, F., & Evans, A. C. (2002) · NeuroImage · doi:10.1006/nimg.2001.0933 · Cited by 1,163
Lavin, S. R., Karasov, W. H., Ives, A. R., Middleton, K. M., & Garland Jr., T. (2008) · Physiological and Biochemical Zoology · doi:10.1086/590395 · Cited by 289
Metadata
- Authors
- HARVILLE, D. A.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1974
- Volume
- 61
- Issue
- 2
- Pages
- 383-385
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W1982126198
- Cited by
- 547
- References
- 1
- FWCI
- 1.92
- Type
- journal article
- Language
- en
- Open access
- closed
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