Sensitivity analyses for sparse-data problems - Using weakly informative Bayesian priors

Ghassan Hamra, Richard F. MacLehose, Stephen R. Cole

Research output: Contribution to journalArticle

Abstract

Sparse-data problems are common, and approaches are needed to evaluate the sensitivity of parameter estimates based on sparse data. We propose a Bayesian approach that uses weakly informative priors to quantify sensitivity of parameters to sparse data. The weakly informative prior is based on accumulated evidence regarding the expected magnitude of relationships using relative measures of disease association. We illustrate the use of weakly informative priors with an example of the association of lifetime alcohol consumption and head and neck cancer. When data are sparse and the observed information is weak, a weakly informative prior will shrink parameter estimates toward the prior mean. Additionally, the example shows that when data are not sparse and the observed information is not weak, a weakly informative prior is not influential. Advancements in implementation of Markov Chain Monte Carlo simulation make this sensitivity analysis easily accessible to the practicing epidemiologist.

Original languageEnglish (US)
Pages (from-to)233-239
Number of pages7
JournalEpidemiology
Volume24
Issue number2
DOIs
StatePublished - Mar 1 2013
Externally publishedYes

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Markov Chains
Bayes Theorem
Head and Neck Neoplasms
Alcohol Drinking
Epidemiologists

ASJC Scopus subject areas

  • Epidemiology

Cite this

Sensitivity analyses for sparse-data problems - Using weakly informative Bayesian priors. / Hamra, Ghassan; MacLehose, Richard F.; Cole, Stephen R.

In: Epidemiology, Vol. 24, No. 2, 01.03.2013, p. 233-239.

Research output: Contribution to journalArticle

Hamra, Ghassan ; MacLehose, Richard F. ; Cole, Stephen R. / Sensitivity analyses for sparse-data problems - Using weakly informative Bayesian priors. In: Epidemiology. 2013 ; Vol. 24, No. 2. pp. 233-239.
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