In social and biomedical sciences, testing in contingency tables often involves order restrictions on cell probabilities parameters. We develop objective Bayes methods for order-constrained testing and model comparison when observations arise under product binomial or multinomial sampling. Specifically, we consider tests for monotone order of the parameters against equality of all parameters. Our strategy combines in a unified way both the intrinsic prior methodology and the encompassing prior approach in order to compute Bayes factors and posterior model probabilities. Performance of our method is evaluated on several simulation studies and real datasets.

Paroli, R., Consonni, G., Objective Bayesian Comparison of Order-Constrained Models in Contingency Tables., <<TEST>>, 2020; 2020 (29): 139-165. [doi:10.1007/s11749-019-00650-w] [http://hdl.handle.net/10807/133659]

Objective Bayesian Comparison of Order-Constrained Models in Contingency Tables.

Paroli, Roberta
Primo
;
Consonni, Guido
Secondo
2019

Abstract

In social and biomedical sciences, testing in contingency tables often involves order restrictions on cell probabilities parameters. We develop objective Bayes methods for order-constrained testing and model comparison when observations arise under product binomial or multinomial sampling. Specifically, we consider tests for monotone order of the parameters against equality of all parameters. Our strategy combines in a unified way both the intrinsic prior methodology and the encompassing prior approach in order to compute Bayes factors and posterior model probabilities. Performance of our method is evaluated on several simulation studies and real datasets.
2019
Inglese
Paroli, R., Consonni, G., Objective Bayesian Comparison of Order-Constrained Models in Contingency Tables., <<TEST>>, 2020; 2020 (29): 139-165. [doi:10.1007/s11749-019-00650-w] [http://hdl.handle.net/10807/133659]
File in questo prodotto:
File Dimensione Formato  
2019-TEST-Paroli-Consonni_Article_ObjectiveBayesianComparisonOfO.pdf

non disponibili

Tipologia file ?: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 419.92 kB
Formato Unknown
419.92 kB Unknown   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/133659
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact