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Goodness-of-Fit Diagnostics for Bayesian Hierarchical Models

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  • Ying Yuan
  • Valen E. Johnson

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  • Ying Yuan & Valen E. Johnson, 2012. "Goodness-of-Fit Diagnostics for Bayesian Hierarchical Models," Biometrics, The International Biometric Society, vol. 68(1), pages 156-164, March.
  • Handle: RePEc:bla:biomet:v:68:y:2012:i:1:p:156-164
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2011.01668.x
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    References listed on IDEAS

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    1. Rychlik, Tomasz, 1992. "Stochastically extremal distributions of order statistics for dependent samples," Statistics & Probability Letters, Elsevier, vol. 13(5), pages 337-341, April.
    2. Caraux, G. & Gascuel, O., 1992. "Bounds on distribution functions of order statistics for dependent variates," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 103-105, May.
    3. J. S. Hodges, 1998. "Some algebra and geometry for hierarchical models, applied to diagnostics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(3), pages 497-536.
    4. Fredrik A. Dahl & Jørund Gåsemyr & Bent Natvig, 2007. "A Robust Conflict Measure of Inconsistencies in Bayesian Hierarchical Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 816-828, December.
    5. Dipak Dey & Alan Gelfand & Tim Swartz & Pantelis Vlachos, 1998. "A simulation-intensive approach for checking hierarchical models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 325-346, December.
    6. Hjort, Nils Lid & Dahl, Fredrik A. & Steinbakk, Gunnhildur Hognadottir, 2006. "Post-Processing Posterior Predictive p Values," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1157-1174, September.
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    Cited by:

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    2. Hayashi, Kohta & Iijima, Hayato, 2022. "Density estimation of non-independent unmarked animals from camera traps," Ecological Modelling, Elsevier, vol. 472(C).
    3. Suyu Liu & Ying Yuan & Richard Castillo & Thomas Guerrero & Valen E. Johnson, 2014. "Evaluation of image registration spatial accuracy using a Bayesian hierarchical model," Biometrics, The International Biometric Society, vol. 70(2), pages 366-377, June.
    4. Jingjing Yang & Dennis D. Cox & Jong Soo Lee & Peng Ren & Taeryon Choi, 2017. "Efficient Bayesian hierarchical functional data analysis with basis function approximations using Gaussian–Wishart processes," Biometrics, The International Biometric Society, vol. 73(4), pages 1082-1091, December.

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