Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer
The stereotype regression model for categorical outcomes, proposed by Anderson (1984) is nested between the baseline category logits and adjacent category logits model with proportional odds structure. The stereotype model is more parsimonious than the ordinary baseline-category (or multinomial logi...
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ftpubmed:oai:pubmedcentral.nih.gov:3103066 2023-05-15T16:29:56+02:00 Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer Ahn, Jaeil Mukherjee, Bhramar Banerjee, Mousumi Cooney, Kathleen A. 2009-11-10 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3103066 http://www.ncbi.nlm.nih.gov/pubmed/19731262 https://doi.org/10.1002/sim.3693 en eng http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3103066 http://www.ncbi.nlm.nih.gov/pubmed/19731262 http://dx.doi.org/10.1002/sim.3693 Article Text 2009 ftpubmed https://doi.org/10.1002/sim.3693 2013-09-03T15:12:20Z The stereotype regression model for categorical outcomes, proposed by Anderson (1984) is nested between the baseline category logits and adjacent category logits model with proportional odds structure. The stereotype model is more parsimonious than the ordinary baseline-category (or multinomial logistic) model due to a product representation of the log odds-ratios in terms of a common parameter corresponding to each predictor and category specific scores. The model could be used for both ordered and unordered outcomes. For ordered outcomes, the stereotype model allows more flexibility than the popular proportional odds model in capturing highly subjective ordinal scaling which does not result from categorization of a single latent variable, but are inherently multidimensional in nature. As pointed out by Greenland (1994), an additional advantage of the stereotype model is that it provides unbiased and valid inference under outcome-stratified sampling as in case-control studies. In addition, for matched case-control studies, the stereotype model is amenable to classical conditional likelihood principle, whereas there is no reduction due to sufficiency under the proportional odds model. In spite of these attractive features, the model has been applied less, as there are issues with maximum likelihood estimation and likelihood based testing approaches due to non-linearity and lack of identifiability of the parameters. We present comprehensive Bayesian inference and model comparison procedure for this class of models as an alternative to the classical frequentist approach. We illustrate our methodology by analyzing data from The Flint Men’s Health Study, a case-control study of prostate cancer in African-American men aged 40 to 79 years. We use clinical staging of prostate cancer in terms of Tumors, Nodes and Metastatsis (TNM) as the categorical response of interest. Text Greenland PubMed Central (PMC) Greenland Flint ENVELOPE(-65.417,-65.417,-67.333,-67.333) TNM ENVELOPE(-58.100,-58.100,-62.000,-62.000) Statistics in Medicine 28 25 3139 3157 |
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Article Ahn, Jaeil Mukherjee, Bhramar Banerjee, Mousumi Cooney, Kathleen A. Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
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The stereotype regression model for categorical outcomes, proposed by Anderson (1984) is nested between the baseline category logits and adjacent category logits model with proportional odds structure. The stereotype model is more parsimonious than the ordinary baseline-category (or multinomial logistic) model due to a product representation of the log odds-ratios in terms of a common parameter corresponding to each predictor and category specific scores. The model could be used for both ordered and unordered outcomes. For ordered outcomes, the stereotype model allows more flexibility than the popular proportional odds model in capturing highly subjective ordinal scaling which does not result from categorization of a single latent variable, but are inherently multidimensional in nature. As pointed out by Greenland (1994), an additional advantage of the stereotype model is that it provides unbiased and valid inference under outcome-stratified sampling as in case-control studies. In addition, for matched case-control studies, the stereotype model is amenable to classical conditional likelihood principle, whereas there is no reduction due to sufficiency under the proportional odds model. In spite of these attractive features, the model has been applied less, as there are issues with maximum likelihood estimation and likelihood based testing approaches due to non-linearity and lack of identifiability of the parameters. We present comprehensive Bayesian inference and model comparison procedure for this class of models as an alternative to the classical frequentist approach. We illustrate our methodology by analyzing data from The Flint Men’s Health Study, a case-control study of prostate cancer in African-American men aged 40 to 79 years. We use clinical staging of prostate cancer in terms of Tumors, Nodes and Metastatsis (TNM) as the categorical response of interest. |
format |
Text |
author |
Ahn, Jaeil Mukherjee, Bhramar Banerjee, Mousumi Cooney, Kathleen A. |
author_facet |
Ahn, Jaeil Mukherjee, Bhramar Banerjee, Mousumi Cooney, Kathleen A. |
author_sort |
Ahn, Jaeil |
title |
Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
title_short |
Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
title_full |
Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
title_fullStr |
Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
title_full_unstemmed |
Bayesian Inference for the Stereotype Regression Model: Application to a Case-control Study of Prostate Cancer |
title_sort |
bayesian inference for the stereotype regression model: application to a case-control study of prostate cancer |
publishDate |
2009 |
url |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3103066 http://www.ncbi.nlm.nih.gov/pubmed/19731262 https://doi.org/10.1002/sim.3693 |
long_lat |
ENVELOPE(-65.417,-65.417,-67.333,-67.333) ENVELOPE(-58.100,-58.100,-62.000,-62.000) |
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Greenland Flint TNM |
geographic_facet |
Greenland Flint TNM |
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Greenland |
genre_facet |
Greenland |
op_relation |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3103066 http://www.ncbi.nlm.nih.gov/pubmed/19731262 http://dx.doi.org/10.1002/sim.3693 |
op_doi |
https://doi.org/10.1002/sim.3693 |
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Statistics in Medicine |
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28 |
container_issue |
25 |
container_start_page |
3139 |
op_container_end_page |
3157 |
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1766019635927318528 |