A practical bootstrap method for testing hypotheses from survey data

Survey Methodology

Volumn 35, Issue 1, 2009, Pages 25-35

  Beaumont, Jean François ^a   Bocci, Cynthia ^a  

^a STATISTICS CANADA   (Canada)

Author keywords

Analysis of survey data; Bootstrap weights; Hypothesis testing; Informative sampling; Linear regression; Model parameters

Indexed keywords

EID: 77949527586     PISSN: 07140045     EISSN: 14920921     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. Benjamini, Y., and Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. Journal of the Royal Statistical Society, Series B, 57, 289-300.
2. Binder, D.A., and Roberts, G.R. (2003). Design-based and model-based methods for estimating model parameters. Analysis of survey data, (Eds. R.L. Chambers and C.J. Skinner). New-York: John Wiley & Sons, Inc.
3. Deville, J.-C., and Särndal, C.-E. (1992). Calibration estimators in survey sampling. Journal of the American Statistical Association, 87, 376-382.
4. Efron, B., and Tibshirani, R.J. (1993). An introduction to the bootstrap. New York: Chapman & Hall.
5. Fay, R.E. (1985). A jackknifed chi-squared test for complex samples. Journal of the American Statistical Association, 80, 148-157.
6. Fellegi, I.P. (1980). Approximate tests of independence and goodness of fit based on stratified multistage samples. Journal of the American Statistical Association, 75, 261-268.
7. Graubard, B.I., and Korn, E.L. (1993). Hypothesis testing with complex survey data: The use of classical quadratic test statistics with particular reference to regression problems. Journal of the American Statistical Association, 88, 629-641.
8. Graubard, B.I., Korn, E.L. and Midthune, D. (1997). Testing goodness-of-fit for logistic regression with survey data. Proceedings of the Section on Survey Research Methods, American Statistical Association, 170-174.
9. Hall, P., and Wilson, S.R. (1991). Two guidelines for bootstrap hypothesis testing. Biometrics, 47, 757-762.
10. Hughes, A.L., and Brodsky, M.D. (1994). Variance estimation of drug abuse episodes using the bootstrap. Proceedings of the Section on Survey Research Methods, American Statistical Association, 212-217.
11. Korn, E.L., and Graubard, B.I. (1990). Simultaneous testing of regression coefficients with complex survey data: Use of Bonferroni t statistics. The American Statistician, 44, 270-276.
12. Korn, E.L., and Graubard, B.I. (1991). A note on the large sample properties of linearization, jackknife and balanced repeated replication methods for stratified samples. The Annals of Statistics, 19, 2275-2279.
13. Kovar, J.G., Rao, J.N.K. and Wu, C.F.J. (1988). Bootstrap and other methods to measure errors in survey estimates. The Canadian Journal of Statistics, 16, Supplement, 25-45.
14. Langlet, É.R., Faucher, D. and Lesage, É. (2003). An application of the bootstrap variance estimation method to the Canadian Participation and Activity Limitation Survey. Proceedings of the Joint Statistical Meetings, American Statistical Association, 2299-2306.
15. Rao, J.N.K., and Scott, A.J. (1981). The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables. Journal of the American Statistical Association, 76, 221-230.
16. Rao, J.N.K., and Wu, C.F.J. (1988). Resampling inference with complex survey data. Journal of the American Statistical Association, 83, 231-241.
17. Rao, J.N.K., Wu, C.F.J. and Yue, K. (1992). Some recent work on resampling methods for complex surveys. Survey Methodology, 18, 209-217.
18. Rao, J.N.K., and Thomas, D.R. (2003). Analysis of categorical response data from complex surveys: An appraisal and update. Analysis of survey data, (Eds. R.L. Chambers and C.J. Skinner). New-York: John Wiley & Sons, Inc.
19. Research Triangle Institute (2004). SUDAAN language manual, release 9.0. Research Triangle Park, NC: Research Triangle Institute.
20. Seber, G.A.F. (1984). Multivariate Observations. New-York: John Wiley & Sons, Inc.
21. Shao, J., and Tu, D. (1995). The jackknife and the bootstrap. New-York: Springer-Verlag.
22. Sitter, R.R. (1992). Comparing three bootstrap methods for survey data. The Canadian Journal of Statistics, 20, 135-154.
23. Thomas, D.R., and Rao, J.N.K. (1987). Small-sample comparisons of level and power for simple goodness-of-fit statistics under cluster sampling. Journal of the American Statistical Association, 82, 630-636.
24. Thomas, D.R., Singh, A.C. and Roberts, G.R. (1996). Tests of independence on two-way tables under cluster sampling: An evaluation. International Statistical Review, 64, 295-311.
25. Yeo, D., Mantel, H. and Liu, T.-P. (1999). Bootstrap variance estimation for the National Population Health Survey. Proceedings of the Section on Survey Research Methods, American Statistical Association, 778-783.