The SURVEYPHREG Procedure

Andersen, P. K., Borgan, Ø., Gill, R. D., and Keiding, N. (1992). Statistical Models Based on Counting Processes. New York: Springer-Verlag.

Beaumont, J.-F., and Patak, Z. (2012). “On the Generalized Bootstrap for Sample Surveys with Special Attention to Poisson Sampling.” International Statistical Review 80:127–148.

Binder, D. A. (1983). “On the Variances of Asymptotically Normal Estimators from Complex Surveys.” International Statistical Review 51:279–292.

Binder, D. A. (1990). “Fitting Cox’s Proportional Hazards Models from Survey Data.” In Proceedings of the Survey Research Methods Section, 342–347. Alexandria, VA: American Statistical Association.

Binder, D. A. (1992). “Fitting Cox’s Proportional Hazards Models from Survey Data.” Biometrika 79:139–147.

Boudreau, C., and Lawless, J. F. (2006). “Survival Analysis Based on the Proportional Hazards Model and Survey Data.” Canadian Journal of Statistics 34:203–216.

Breslow, N. E. (1974). “Covariance Analysis of Censored Survival Data.” Biometrics 30:89–99.

Brick, J. M., and Kalton, G. (1996). “Handling Missing Data in Survey Research.” Statistical Methods in Medical Research 5:215–238.

Chambers, R. L., and Skinner, C. J. (2003). Analysis of Survey Data. Chichester, UK: John Wiley & Sons.

Chang, I.-M., Gelman, R., and Pagano, M. (1982). “Corrected Group Prognostic Curves and Summary Statistics.” Journal of Chronic Diseases 35:669–674.

Cochran, W. G. (1977). Sampling Techniques. 3rd ed. New York: John Wiley & Sons.

Cox, D. R. (1972). “Regression Models and Life-Tables.” Journal of the Royal Statistical Society, Series B 34:187–220. With discussion.

Cox, D. R. (1975). “Partial Likelihood.” Biometrika 62:269–276.

Dippo, C. S., Fay, R. E., and Morganstein, D. H. (1984). “Computing Variances from Complex Samples with Replicate Weights.” In Proceedings of the Survey Research Methods Section, 489–494. Alexandria, VA: American Statistical Association.

Efron, B. (1977). “The Efficiency of Cox’s Likelihood Function for Censored Data.” Journal of the American Statistical Association 72:557–565.

Fay, R. E. (1984). “Some Properties of Estimates of Variance Based on Replication Methods.” In Proceedings of the Survey Research Methods Section, 495–500. Alexandria, VA: American Statistical Association.

Fay, R. E. (1989). “Theory and Application of Replicate Weighting for Variance Calculations.” In Proceedings of the Survey Research Methods Section, 212–217. Alexandria, VA: American Statistical Association.

Firth, D. (1993). “Bias Reduction of Maximum Likelihood Estimates.” Biometrika 80:27–38.

Fleming, T. R., and Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: John Wiley & Sons.

Fuller, W. A. (1975). “Regression Analysis for Sample Survey.” Sankhy, Series C 37:117–132.

Fuller, W. A. (2009). Sampling Statistics. Hoboken, NJ: John Wiley & Sons.

Fuller, W. A., Kennedy, W. J., Schnell, D., Sullivan, G., and Park, H. J. (1989). PC CARP. Ames: Iowa State University Statistical Laboratory.

Godambe, V. P., and Thompson, M. E. (1986). “Parameters of Superpopulation and Survey Population: Their Relationships and Estimation.” International Statistical Review 54:127–138.

Harrell, F. E. (1986). “The PHGLM Procedure.” In SUGI Supplemental Library Guide, Version 5 Edition. Cary, NC: SAS Institute Inc.

Heinze, G. (1999). The Application of Firth’s Procedure to Cox and Logistic Regression. Technical Report 10, updated January 2001, Department of Medical Computer Sciences, Section of Clinical Biometrics, University of Vienna.

Heinze, G., and Schemper, M. (2001). “A Solution to the Problem of Monotone Likelihood in Cox Regression.” Biometrics 51:114–119.

Judkins, D. R. (1990). “Fay’s Method for Variance Estimation.” Journal of Official Statistics 6:223–239.

Kalbfleisch, J. D., and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data. 2nd ed. Hoboken, NJ: John Wiley & Sons.

Kalton, G., and Kasprzyk, D. (1986). “The Treatment of Missing Survey Data.” Survey Methodology 12:1–16.

Kish, L. (1965). Survey Sampling. New York: John Wiley & Sons.

Kish, L., and Frankel, M. R. (1974). “Inference from Complex Samples.” Journal of the Royal Statistical Society, Series B 36:1–37.

Korn, E. L., and Graubard, B. I. (1999). Analysis of Health Surveys. New York: John Wiley & Sons.

Lane, P. W., and Nelder, J. A. (1982). “Analysis of Covariance and Standardization as Instances of Prediction.” Biometrics 38:613–621.

Lawless, J. F. (2003). Statistical Model and Methods for Lifetime Data. 2nd ed. New York: John Wiley & Sons.

Lee, E. W., Wei, L. J., and Amato, D. A. (1992). “Cox-Type Regression Analysis for Large Numbers of Small Groups of Correlated Failure Time Observations.” In Survival Analysis: State of the Art, edited by J. P. Klein and P. K. Goel, 237–247. Dordrecht, Netherlands: Kluwer Academic.

Lin, D. Y. (2000). “On Fitting Cox’s Proportional Hazards Models to Survey Data.” Biometrika 87:37–47.

Lin, D. Y., and Wei, L. J. (1989). “The Robust Inference for the Proportional Hazards Model.” Journal of the American Statistical Association 84:1074–1078.

Lohr, S. L. (2010). Sampling: Design and Analysis. 2nd ed. Boston: Brooks/Cole.

Lumley, T., and Scott, A. (2013). “Partial Likelihood Ratio Tests for the Cox Model under Complex Sampling.” Statistics in Medicine 32:110–123.

Mashreghi, Z., Haziza, D., and Léger, C. (2016). “A Survey of Bootstrap Methods in Finite Population Sampling.” Statistics Surveys 10:1–52.

McCarthy, P. J., and Snowden, C. B. (1985). The Bootstrap and Finite Population Sampling. Vital and Health Statistics, Series 2, no. 95. DHHS Publication Number 85–1369. Washington, DC: US Government Printing Office. https://www.cdc.gov/nchs/data/series/sr_02/sr02_095.pdf.

Mukhopadhyay, P. K. (2020). “Firth’s Penalized Likelihood for Proportional Hazards Regressions for Complex Surveys.” Survey Methodology 46:215–241. https://www150.statcan.gc.ca/n1/en/catalogue/12-001-X202000200004.

Pfeffermann, D. (1993). “The Role of Sampling Weights When Modeling Survey Data.” International Statistical Review 61:317–337.

Rao, J. N. K., Scott, A. J., and Skinner, C. J. (1998). “Quasi-score Tests with Survey Data.” Statistica Sinica 8:1059–1070.

Rao, J. N. K., and Shao, J. (1996). “On Balanced Half-Sample Variance Estimation in Stratified Random Sampling.” Journal of the American Statistical Association 91:343–348.

Rao, J. N. K., and Shao, J. (1999). “Modified Balanced Repeated Replication for Complex Survey Data.” Biometrika 86:403–415.

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.

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.

Rust, K. (1985). “Variance Estimation for Complex Estimators in Sample Surveys.” Journal of Official Statistics 1:381–397.

Särndal, C.-E., and Lundström, S. (2005). Estimation in Surveys with Nonresponse. Chichester, UK: John Wiley & Sons.

Särndal, C.-E., Swensson, B., and Wretman, J. (1992). Model Assisted Survey Sampling. New York: Springer-Verlag.

Schoenfeld, D. A. (1982). “Partial Residuals for the Proportional Hazards Regression Model.” Biometrika 69:239–241.

Shao, J., and Tu, D. (1995). The Jackknife and Bootstrap. New York: Springer-Verlag.

Sitter, R. R. (1992a). “Comparing Three Bootstrap Methods for Survey Data.” Canadian Journal of Statistics 20:135–154.

Sitter, R. R. (1992b). “A Resampling Procedure for Complex Survey Data.” Journal of the American Statistical Association 87:755–765.

Therneau, T. M. (1994). A Package for Survival Analysis in S. Technical Report 53, Section of Biostatistics, Mayo Clinic, Rochester, MN.

Therneau, T. M., Grambsch, P. M., and Fleming, T. R. (1990). “Martingale-Based Residuals and Survival Models.” Biometrika 77:147–160.

Wolter, K. M. (2007). Introduction to Variance Estimation. 2nd ed. New York: Springer.