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The Bayes factor for inequality and about equality constrained models

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  • Klugkist, Irene
  • Hoijtink, Herbert

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  • Klugkist, Irene & Hoijtink, Herbert, 2007. "The Bayes factor for inequality and about equality constrained models," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6367-6379, August.
    • Handle: RePEc:eee:csdana:v:51:y:2007:i:12:p:6367-6379
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    References listed on IDEAS

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    1. Irene Klugkist & Bernet Kato & Herbert Hoijtink, 2005. "Bayesian model selection using encompassing priors," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(1), pages 57-69, February.
    2. Han C. & Carlin B. P., 2001. "Markov Chain Monte Carlo Methods for Computing Bayes Factors: A Comparative Review," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1122-1132, September.
    3. Hamparsum Bozdogan, 1987. "Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 345-370, September.
    4. Elías Moreno, 2005. "Objective Bayesian methods for one-sided testing," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 181-198, June.
    5. Hirotugu Akaike, 1987. "Factor analysis and AIC," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 317-332, September.
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    Cited by:

    1. Herbert Hoijtink, 2013. "Objective Bayes Factors for Inequality Constrained Hypotheses," International Statistical Review, International Statistical Institute, vol. 81(2), pages 207-229, August.
    2. Rudy Ligtvoet, 2017. "Exact One-Sided Bayes Factors for 2 by 2 Contingency Tables," Journal of Classification, Springer;The Classification Society, vol. 34(3), pages 465-472, October.
    3. Heck, Daniel W. & Wagenmakers, Eric-Jan & Morey, Richard D., 2015. "Testing order constraints: Qualitative differences between Bayes factors and normalized maximum likelihood," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 157-162.
    4. Mulder, Joris, 2014. "Prior adjusted default Bayes factors for testing (in)equality constrained hypotheses," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 448-463.
    5. repec:jss:jstsof:34:i08 is not listed on IDEAS
    6. Jean-Paul Fox & Joris Mulder & Sandip Sinharay, 2017. "Bayes Factor Covariance Testing in Item Response Models," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 979-1006, December.
    7. Joris Mulder & James O. Berger & Víctor Peña & M. J. Bayarri, 2021. "On the prevalence of information inconsistency in normal linear models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 103-132, March.
    8. Wetzels, Ruud & Grasman, Raoul P.P.P. & Wagenmakers, Eric-Jan, 2010. "An encompassing prior generalization of the Savage-Dickey density ratio," Computational Statistics & Data Analysis, Elsevier, vol. 54(9), pages 2094-2102, September.
    9. Muye Chen & Michel Regenwetter & Clintin P. Davis-Stober, 2021. "Collective Choice May Tell Nothing About Anyone’s Individual Preferences," Decision Analysis, INFORMS, vol. 18(1), pages 1-24, March.
    10. Guido Consonni & Roberta Paroli, 2017. "Objective Bayesian Comparison of Constrained Analysis of Variance Models," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 589-609, September.
    11. Andr'es Ram'irez-Hassan & Alejandro L'opez-Vera, 2021. "Semi-parametric estimation of the EASI model: Welfare implications of taxes identifying clusters due to unobserved preference heterogeneity," Papers 2109.07646, arXiv.org.
    12. Oh, Man-Suk, 2014. "Bayesian comparison of models with inequality and equality constraints," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 176-182.
    13. Kuiper, Rebecca M. & Klugkist, Irene & Hoijtink, Herbert, 2010. "A Fortran 90 Program for Confirmatory Analysis of Variance," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 34(i08).
    14. repec:jss:jstsof:46:i02 is not listed on IDEAS
    15. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.
    16. Oh, Man-Suk, 2014. "Bayesian test on equality of score parameters in the order restricted RC association model," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 147-157.
    17. Bartolucci, Francesco & Scaccia, Luisa & Farcomeni, Alessio, 2012. "Bayesian inference through encompassing priors and importance sampling for a class of marginal models for categorical data," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4067-4080.
    18. Roberta Paroli & Guido Consonni, 2020. "Objective Bayesian comparison of order-constrained models in contingency tables," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 139-165, March.

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