Bayesian analysis of random-effect models in the analysis of variance. I. Posterior distribution of variance-components
Abstract
George C. Tiao, W. Y. Tan; Bayesian analysis of random-effect models in the analysis of variance. I. Posterior distribution of variance-components, Biometr
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The parameter σ2α in model (1) does not have any simple family of conjugate prior distributions because its marginal likelihood depends in a complex way on the data from all J groups.
“The parameter σ 2 α in model (1) does not have any simple family of conjugate prior distributions because its marginal likelihood depends in a complex way on the data from all J groups (Hill, 1965, Tiao andTan, 1965).”
From Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) (2006) · cites this paper as Tiao and Tan, 1965
No citation lists for this paper
No citation lists for this paper yet — checked again daily.
References 18 · Cited by 121
- Authors
- Tiao, G. C., & Tan, W. Y.
- Affiliations
- Academia Sinica (TW)
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1965-06-01
- Volume
- 52
- Issue
- 1-2
- Pages
- 37-54
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2043561051
- Cited by
- 121
- References
- 18
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 3 · 2022: 2 · 2021: 1 · 2020: 3 · 2019: 6 · 2018: 4 · 2017: 2 · 2016: 3 · 2015: 3 · 2014: 2 · 2013: 2 · 2012: 5
- FWCI
- 7.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Defense Technical Information Center (DTIC) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Methods and Mixture Models
- Keywords
- random effects models, analysis of variance, variance components, posterior distribution, Bayesian inference
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
