Improved inference for respondent-driven sampling data with application to HIV prevalence estimation

Journal of the American Statistical Association

Volumn 106, Issue 493, 2011, Pages 135-146

  Gile, Krista J ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

Hidden population sampling; Link tracing; Markov chain; Network sampling; PPSWOR; Snowball sampling; Social networks; Successive sampling

Indexed keywords

EID: 79954461374     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2011.ap09475     Document Type: Article

References (47)

1. Abdul-Quader, A. S., Heckathorn, D. D., McKnight, C., Bramson, H., Nemeth, C., Sabin, K., Gallagher, K., and Jarlais, D. C. D. (2006), ''Effectiveness of Respondent-Driven Sampling for Recruiting Drug Users in New York City: Findings From a Pilot Study,'' Journal of Urban Health, 83, 459-476. [138]
2. Andreatta, G., and Kaufman, G. M. (1986), ''Estimation of Finite Population Properties When Sampling Is Without Replacement and Proportional to Magnitude,'' Journal of the American Statistical Association, 81, 657-666. [137,138]
3. Barndorff-Nielsen, O. E. (1978), Information and Exponential Families in Statistical Theory, New York: Wiley. [138]
4. Bickel, P. J., Nair, V. N., and Wang, P. C. C. (1992), ''Nonparametric Inference Under Biased Sampling From a Finite Population,'' The Annals of Statistics, 20,853-878. [137]
5. Boguna, M., Pastor-Satorras, R., and Vespignani, A. (2004), ''Cut-Offs and Finite Size Effects in Scale-Free Networks,'' European Physical Journal B, 38,205-209. [136]
6. Burda, Z., and Krzywicki, A. (2003), ''Uncorrelated Random Networks,'' Physical Review E, 67, 046118. [136]
7. Catanzaro, M., Boguna, M., and Pastor-Satorras, R. (2005), ''Generation of Uncorrelated Random Scale-Free Networks,'' Physical Review E, 71, 027103. [136]
8. CDC (2008), Consultation on the Analysis of Data Collected Through Respon-dent Driven Sampling, discussion session, February 12-14, Atlanta, GA, Keith Sabin. [138]
9. Chung, F., and Lu, L. (2002), ''Connected Components in Random Graphs With Given Expected Degree Sequences,'' Annals of Combinatorics, 6, 125-145. [136]
10. Fattorini, L. (2006), ''Applying the Horvitz-Thompson Criterion in Complex Designs: A Computer-Intensive Perspective for Estimating Inclusion Probabilities,'' Biometrika, 93, 269-278. [137]
11. Foster, J. G., Foster, D. V., Grassberger, P., and Paczuski, M. (2007), ''Link and Subgraph Likelihoods in Random Undirected Networks With Fixed and Partially Fixed Degree Sequences,'' Physical Review E, 76, 046112. [136]
12. Gile, K. J., and Handcock, M. S. (2010), ''Respondent-Driven Sampling: An Assessment of Current Methodology,'' Sociological Methodology, 40, 285-327. [135,136,139,141,144]
13. Goel, S., and Salganik, M. J. (2009), ''Respondent Driven Sampling as Markov Chain Monte Carlo,'' Statistics in Medicine, 28, 2202-2229. [135]
14. Goodman, L. A. (1961), ''Snowball Sampling,'' Annals of Mathematical Statistics, 32, 148-170. [135]
15. Handcock, M. S., Gile, K. J., and Neely, W. W. (2009), ''RDS: R Functions for Respondent-Driven Sampling,'' R package version 0.10, Hidden Population Methods Research Group, available at http://hpmrg.org/, Los Angeles, CA. [145]
16. Handcock, M. S., Hunter, D. R., Butts, C. T., Goodreau, S. M., and Morris, M. (2003), ''Statnet: Software Tools for the Statistical Modeling of Network Data,'' R package version 2.0, Statnet Project, available at http://statnetproject.org/, Seattle, WA. [139]
17. Handcock, M. S., Hunter, D. R., Butts, C. T., Goodreau, S. M., and Morris, M. (2008), ''Ergm: A Package to Fit, Simulate and Diagnose Exponential-Family Models for Networks,'' Journal of Statistical Software, 24, 1-11. [139]
18. Hansen, M. H., and Hurwitz, W. N. (1943), ''On the Theory of Sampling From Finite Populations,'' The Annals of Mathematical Statistics, 14, 333-362. [136]
19. Heckathorn, D. D. (1997), ''Respondent-Driven Sampling: A New Approach to the Study of Hidden Populations,'' Social Problems, 44, 174-199. [135, 136]
20. Heckathorn, D. D. (2002), ''Respondent-Driven Sampling II: Deriving Valid Population Estimates From Chain-Referral Samples of Hidden Populations,'' Social Problems, 49, 11-34. [135]
21. Horvitz, D. G., and Thompson, D. G. (1952), ''A Generalization of Sampling Without Replacement From a Finite Universe,'' Journal of the American Statistical Association, 47, 663-685. [136]
22. Johnston, L. (2009), Personal communication. [138]
23. Johnston, L. G., Malekinejad, M., Kendall, C., Iuppa, I. M., and Rutherford, G. W. (2008), ''Implementation Challenges to Using Respondent-Driven Sampling Methodology for HIV Biological and Behavioral Surveillance: Field Experiences in International Settings,'' AIDS and Behavior, 12, 131-141. [135]
24. Kochar, S. C., and Korwar, R. (2001), ''On Random Sampling Without Re-placement From a Finite Population,'' Annals of the Institute of Statistical Mathematics, 53, 631-646. [137]
25. Kruglov, Y. V., Kobyshcha, Y. V., Salyuk, T., Varetska, O., Shakarishvili, A., and Saldanha, V. P. (2008), ''The Most Severe HIV Epidemic in Europe: Ukraine's National HIV Prevalence Estimates for 2007,'' Sexually Transmitted Infections, 84, i37-i41. [142]
26. Lansky, A., Abdul-Quader, A. S., Cribbin, M., Hall, T., Finlayson, T. J., Gar-fein, R. S., Lin, L. S., and Sullivan, P. S. (2007), ''Developing an HIV Be-havioral Surveillance System for Injecting Drug Users: The National HIV Behavioral Surveillance System,'' technical report, Public Health Reports 2007,122 Suppl 1: 48-55 17354527, Division of HIV/AIDS Prevention, National Center for HIV, STD, and TB Prevention, Centers for Disease Control and Prevention. [135]
27. Meng, X.-L., and Rubin, D. B. (1993), ''Maximum Likelihood Estimation via the ECM Algorithm: A General Framework,'' Biometrika, 80, 267-278. [138]
28. Molloy, M. S., and Reed, B. A. (1995), ''A Critical Point for Random Graphs With a Given Degree Sequence,'' Random Structures and Algorithms, 6, 161-179. [136]
29. Muhib, F. B., Lins, L. S., Stueve, A., Miller, R. L., Ford, W. L., Johnson, W. D., and Smith, P. J. (2001), ''A Venue-Based Method for Sampling Hard-to-Reach Populations,'' technical report, Public Health Reports 2001, 116 Suppl 1: 216222, Association of Schools of Public Health, Washington, DC. [135]
30. Murthy, M. N. (1957), ''Ordered and Unordered Estimators in Sampling With-out Replacement,'' Sankhya: The Indian Journal of Statistics, 18, 379-390. [137]
31. Nair, V. N., and Wang, P. C. C. (1989), ''Maximum Likelihood Estimation Under a Successive Sampling Discovery Model,'' Technometrics, 31, 423-436. [137]
32. Neely, W. W. (2010), ''Statistical Theory for Respondent Driven Sampling,'' Ph.D. thesis, Department of Statistics, University of Wisconsin, Madison. [135]
33. Peterson, J. A., Reisinger, H. S., Schwartz, R. P., Mitchell, S. G., Kelly, S. M, Brown, B. S., and Agar, M. H. (2008), ''Targeted Sampling in Drug Abuse Research: A Review and Case Study,'' Field Methods, 20, 155-170. [135]
34. Raj, D. (1956), ''Some Estimators in Sampling With Varying Probabilities Without Replacement,'' Journal of the American Statistical Association, 51, 269-284. [137]
35. Rao, T. J., Sengupta, S., and Sinha, B. K. (1991), ''Some Order Relations Between Selection and Inclusion Probabilities for PPSWOR Sampling Scheme,'' Metrika, 38, 335-343. [137]
36. Salganik, M. J., and Heckathorn, D. D. (2004), ''Sampling and Estimation in Hidden Populations Using Respondent-Driven Sampling,'' Sociological Methodology, 34, 193-239. [135,136]
37. Snijders, T. A. B., Pattison, P., Robins, G. L., and Handcock, M. S. (2006), ''New Specifications for Exponential Random Graph Models,'' Sociological Methodology, 36, 99-153. [138]
38. Thompson, S. K. (2006a), ''Adaptive Web Sampling,'' Biometrics, 62, 1224-1234. [135]
39. Thompson, S. K. (2006b), ''Targeted Random Walk Designs,'' Survey Methodology, 32, 11-24. [135]
40. UNAIDS (2008), ''2008 Guidance and Specifications for Additional Recommended Indicators,'' technical report, UNAIDS-Joint United Nations Programme on HIV/AIDS. [141]
41. UNAIDS and World Health Organization (2007), ''Guidelines on Construc- tion of Core Indicators. 2008 Reporting,'' technical report, UNAIDS-Joint United Nations Programme on HIV/AIDS. [141]
42. UNAIDS/WHO (2003), ''Estimating the Size of Populations at Risk for HIV: Issues and Methods,'' technical report, UNAIDS/WHO Working Group on HIV/AIDS. [142]
43. van Duijn, M. A. J., Handcock, M. S., and Gile, K. J. (2009), ''A Framework for the Comparison of Maximum Pseudo Likelihood and Maximum Likelihood Estimation of Exponential Family Random Graph Models,'' Social Networks, 31, 52-62. [139]
44. Volz, E., and Heckathorn, D. D. (2008), ''Probability Based Estimation Theory for Respondent Driven Sampling,'' Journal of Official Statistics, 24, 79-97. [135,136,142]
45. Volz, E., Wejnert, C., Degani, I., and Heckathorn, D. D. (2007), ''Respondent- Driven Sampling Analysis Tool (RDSAT) Version 5.6,'' Cornell University, Ithaca, NY. [136]
46. Watters, J. K., and Biernacki, P. (1989), ''Targeted Sampling: Options for the Study of Hidden Populations,'' Social Problems, 36, 416-430. [135]
47. Yates, F., and Grundy, P. M. (1953), ''Selection Without Replacement From Within Strata With Probability Proportional to Size,'' Journal of the Royal Statistical Society, Ser. B, 15, 253-261. [136,137]