Arbeitspapier

Prior distributions for variance parameters in hierarchical models

Various noninformative prior distributions have been suggested for scale parameters in hierarchical models. We construct a new folded-noncentral- t family of conditionally conjugate priors for hierarchical standard deviation parameters, and then consider noninformative and weakly informative priors in this family. We use an example to illustrate serious problems with the inverse-gamma family of ``noninformative'' prior distributions. We suggest instead to use a uniform prior on the hierarchical standard deviation, using the half-t family when the number of groups is small and in other settings where a weakly informative prior is desired.

Sprache
Englisch

Erschienen in
Series: EERI Research Paper Series ; No. 6/2004

Klassifikation
Wirtschaft
Thema
Bayesian inference conditional conjugacy folded noncentral-t distribution half-t distribution hierarchical model multilevel model noninformative prior distribution weakly informative prior distribution

Ereignis
Geistige Schöpfung
(wer)
Gelman, Andrew
Ereignis
Veröffentlichung
(wer)
Economics and Econometrics Research Institute (EERI)
(wo)
Brussels
(wann)
2004

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Gelman, Andrew
  • Economics and Econometrics Research Institute (EERI)

Entstanden

  • 2004

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