A Bayesian method for estimating prevalence in the presence of a hidden sub-population

Statistics in Medicine

Volumn 31, Issue 21, 2012, Pages 2386-2398

  Xia, Michelle ^a   Gustafson, Paul ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Bayesian inference; MCMC; Nonidentified models; Prevalence estimation; Survey sampling; Weighted sampling

Indexed keywords

ADULT; ARTICLE; BAYES THEOREM; BOOTSTRAPPING; CONTROLLED STUDY; DISEASE SURVEILLANCE; HUMAN; LIMIT OF DETECTION; LOGISTIC REGRESSION ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEASUREMENT ERROR; POPULATION RESEARCH; PROBABILITY; PROCESS DEVELOPMENT; PROCESS MODEL; SAMPLE SIZE; SENSITIVITY ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL SIGNIFICANCE; UNCERTAINTY;

ADOLESCENT; ADULT; ARTHRITIS; ASTHMA; BAYES THEOREM; COMPUTER SIMULATION; FEMALE; HUMANS; MALE; MARKOV CHAINS; MODELS, GENETIC; MODELS, STATISTICAL; MONTE CARLO METHOD; NEOPLASMS; PREVALENCE; QUANTITATIVE TRAIT, HERITABLE; SEXUALLY TRANSMITTED DISEASES; YOUNG ADULT;

EID: 84865643428     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.5374     Document Type: Article

References (17)

1. Stueve A, O'Donnell L, Duran R, SanDoval A, Blome J. Time-space sampling in minority communities: results with Latino young men who have sex with men. American Journal of Public Health 2001; 91(6):922-926.
2. Karon JM. The analysis of time-location sampling study data. Proceedings of the Survey Research Methods Section, American Statistical Association. 2005; 3180-3186.
3. MacKellar D, Valleroy L, Karon J, Lemp G, Janssen R. The young men's survey: methods for estimating HIV seroprevalence and risk factors among young men who have sex with men. Public Health Reports 1996; 111(Suppl1):138-144.
4. Muhib F, Lin L, Stueve A, Miller R, Ford W, Johnson W, Smith P. A venue-based method for sampling hard-to-reach populations. Public Health Reports 2001; 116(Suppl 1):216-222.
5. Magnani R, Sabin K, Saidel T, Heckathorn D. Review of sampling hard-to-reach and hidden populations for HIV surveillance. AIDS 2005; 19(Suppl 2):S67-72.
6. Xia Q, Tholandi M, Osmond DH, Pollack LM, Zhou W, Ruiz JD, Catania JA. The effect of venue sampling on estimates of HIV prevalence and sexual risk behaviors in men who have sex with men. Sexually Transmitted Diseases 2006; 33(9):545-550. DOI: 10.1097/01.olq.0000219866.84137.82.
7. Neath AA, Samaniego FJ. On the efficacy of Bayesian inference for nonidentifiable models. The American Statistician 1997; 51(3):225-232. DOI: 10.2307/2684892.
8. Gustafson P, Le ND, Saskin R. Case-control analysis with partial knowledge of exposure misclassification probabilities. Biometrics 2001; 57(2):598-609. DOI: 10.1111/j.0006-341X.2001.00598.x.
9. Xie Y, Carlin BP. Measures of Bayesian learning and identifiability in hierarchical models. Journal of Statistical Planning and Inference 2006; 136(10):3458-3477. DOI: 10.1016/j.jspi.2005.04.003.
10. Gustafson P. On model expansion, model contraction, identifiability and prior information: two illustrative scenarios involving mismeasured variables. Statistical Science 2005; 20(2):111-140. DOI: 10.1214/088342305000000098. With comments and a rejoinder by the author.
11. Gustafson P. Bayesian inference for partially identified models. International Journal of Biostatistics 2010; 6(2):Article 17. DOI: 10.2202/1557-4679.1206.
12. Gustafson P. Sample size implications when biases are modelled rather than ignored. Journal of the Royal Statistical Society: Series A 2006; 169(4):865-881. DOI: 10.1111/j.1467-985X.2006.00436.x.
13. NCHS.Centers for Disease Control and Prevention (CDC). National Center for Health Statistics (NCHS). National Health and Nutrition Examination Survey Data., Hyattsville MD: U.S. Department of Health and Human Services, CDC, 2007. Accessed date: May 25, 2010 (Available from: http://www.cdc.gov/nchs/tutorials/nhanes/surveyorientation/Navigate/Frame7.htm.)
14. Harris KM, Udry JR. National longitudinal study of adolescent health. Inter-university Consortium for Political and Social Research [distributor] 1994-2008. DOI: 10.3886/ICPSR21600.v4.
15. Gustafson P. Measurement Error and Misclassification in Statistics and Epidemiology, Interdisciplinary Statistics. Chapman & Hall/CRC: Boca Raton, FL, 2004. Impacts and Bayesian adjustments.
16. Patil GP, Rao CR. Weighted distributions and size-biased sampling with applications to wildlife populations and human families. Biometrics 1978; 34(2):179-189. DOI: 10.2307/2530008. http://dx.doi.org/10.2307/2530008.
17. Rubin DB. The Bayesian bootstrap. Annals of Statistics 1981; 9(1):130-134. DOI: 10.1214/aos/1176345338.