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On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer

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On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer. / Ghosh, M.; Song, J.; Forster, J.J. et al.
In: Statistics in Medicine, Vol. 31, No. 20, 10.09.2012, p. 2196-2208.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ghosh, M, Song, J, Forster, JJ, Mitra, R & Mukherjee, B 2012, 'On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer', Statistics in Medicine, vol. 31, no. 20, pp. 2196-2208. https://doi.org/10.1002/sim.5358

APA

Ghosh, M., Song, J., Forster, J. J., Mitra, R., & Mukherjee, B. (2012). On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer. Statistics in Medicine, 31(20), 2196-2208. https://doi.org/10.1002/sim.5358

Vancouver

Ghosh M, Song J, Forster JJ, Mitra R, Mukherjee B. On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer. Statistics in Medicine. 2012 Sept 10;31(20):2196-2208. Epub 2012 Apr 11. doi: 10.1002/sim.5358

Author

Ghosh, M. ; Song, J. ; Forster, J.J. et al. / On the equivalence of posterior inference based on retrospective and prospective likelihoods : application to a case-control study of colorectal cancer. In: Statistics in Medicine. 2012 ; Vol. 31, No. 20. pp. 2196-2208.

Bibtex

@article{84575ba3470c4c27967d15470413a648,
title = "On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer",
abstract = "The paper develops a class of priors that leads to equivalent posterior inference for odds ratio parameters based on prospective and retrospective models for categorical response data. The results are applicable to both unmatched and matched case-control studies. The results hold for a general class of link functions for categorical response. The proposed method can accommodate multiple and possibly ordered disease states. The results are applied to the analysis of discrete subtypes in an ongoing case-control study of colorectal cancer. A simulation study illustrates the need for carefully considering prior choices in Bayesian analysis of data collected under retrospective design.",
author = "M. Ghosh and J. Song and J.J. Forster and Robin Mitra and B. Mukherjee",
year = "2012",
month = sep,
day = "10",
doi = "10.1002/sim.5358",
language = "English",
volume = "31",
pages = "2196--2208",
journal = "Statistics in Medicine",
issn = "0277-6715",
publisher = "John Wiley and Sons Ltd",
number = "20",

}

RIS

TY - JOUR

T1 - On the equivalence of posterior inference based on retrospective and prospective likelihoods

T2 - application to a case-control study of colorectal cancer

AU - Ghosh, M.

AU - Song, J.

AU - Forster, J.J.

AU - Mitra, Robin

AU - Mukherjee, B.

PY - 2012/9/10

Y1 - 2012/9/10

N2 - The paper develops a class of priors that leads to equivalent posterior inference for odds ratio parameters based on prospective and retrospective models for categorical response data. The results are applicable to both unmatched and matched case-control studies. The results hold for a general class of link functions for categorical response. The proposed method can accommodate multiple and possibly ordered disease states. The results are applied to the analysis of discrete subtypes in an ongoing case-control study of colorectal cancer. A simulation study illustrates the need for carefully considering prior choices in Bayesian analysis of data collected under retrospective design.

AB - The paper develops a class of priors that leads to equivalent posterior inference for odds ratio parameters based on prospective and retrospective models for categorical response data. The results are applicable to both unmatched and matched case-control studies. The results hold for a general class of link functions for categorical response. The proposed method can accommodate multiple and possibly ordered disease states. The results are applied to the analysis of discrete subtypes in an ongoing case-control study of colorectal cancer. A simulation study illustrates the need for carefully considering prior choices in Bayesian analysis of data collected under retrospective design.

U2 - 10.1002/sim.5358

DO - 10.1002/sim.5358

M3 - Journal article

VL - 31

SP - 2196

EP - 2208

JO - Statistics in Medicine

JF - Statistics in Medicine

SN - 0277-6715

IS - 20

ER -