A Monte Carlo evaluation of five interval estimators for the relative risk in sparse data

Biometrical Journal

Volumn 48, Issue 1, 2006, Pages 131-143

  Lui, Kung Jong ^a  

^a SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

Confidence interval; Mantel Haenszel estimator; Relative difference; Relative risk; Sparse data

Indexed keywords

CHEMOTHERAPY; INTELLIGENT SYSTEMS; METADATA; RISK ASSESSMENT;

CLINICAL TRIAL; CONFIDENCE INTERVAL; INTERVAL ESTIMATORS; LOGARITHMIC TRANSFORMATIONS; MANTEL-HAENSZEL ESTIMATORS; RELATIVE DIFFERENCE; RELATIVE RISKS; RISK FACTORS; SPARSE DATA; WEIGHTED LEAST-SQUARES;

MONTE CARLO METHODS;

EID: 33644679295     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.200410193     Document Type: Article

References (38)

1. Agresti, A. (1990). Categorical Data Analysis. Wiley, New York.
2. Agresti, A. (2001). Exact inference for categorical data: recent advances and continuing controversies. Statistics in Medicine 20, 2709-2722.
3. Breslow, N. E. and Day, N. E. (1980). Statistical Methods in Cancer Research, Vol. I - the Analysis of Case-Control Studies. International Agency for Research on Cancer, Lyon.
4. Casella, G. and Berger, R. L. (1990). Statistical Inference. Duxburt Press, Belmont, California.
5. rd edn. Wiley, New York.
6. Cook, R. J. and Sackett, D. L. (1995). The mumber needed to treat: a clinically useful measure of treatment effect. British Medical Journal 310, 452-454.
7. Cooper, M. R., Dear, K. B. G., McIntyre, O. R., Ozer, H., Ellerton, J., Cannellos, G., Bernhardt, B., Duggan, B., Faragher, D., and Schiffer, C. (1993). A randomized clinical trial comparing Melphalan/Prednisone with and without α-2b Interferon in newly-diagnosed patients with multiple myeloma: A Cancer and Leukemia Group B study. Journal of Clinical Oncology 11, 155-160.
8. Ejigou, A. (1984). Estimation of relative risk under variable multiple matching. Diametrical Journal 26, 475-482.
9. Ejigou, A. (1990). Small-sample properties of odds ratio estimators under multiple matching in case-control studies. Biometrics 46, 61-69.
10. nd edn. Wiley, New York.
11. Fleiss, J. L. (1986). The Design and Analysis of Clinical Experiments. Wiley, New York.
12. Greenland, S. and Robins, J. M. (1985). Estimation of a common effect parameter from sparse follow-up data. Biometrics 41, 55-68.
13. Grizzle, J. E., Starmer, D. F., and Koch, G. G. (1969). Analysis of categorical data by linear models. Biometrics 25, 489-504.
14. Hirji, K. P., Tang, M.-L., Vollset, S. E., and Elashoff, R. M. (1994). Efficient power computation for exact and mid-p tests for the common odds ratio in several 2×2 tables. Statistics in Medicine 13, 1539-1549.
15. Hirji, K. F., Vollset, S. E., Reis, I. M., and Afifi, A. A. (1996). Exact tests for interaction in several 2 & 2 tables. Journal of Computational and Graphical Statistics 5, 209-224.
16. Kim, D. and Agresti, A. (1995). Improved exact inference about conditional association in three-way contingency tables. Journal of the American Statistical Association 90, 632-639.
17. Kleinbaum, D. G., Kupper, L. L., and Morgenstern, H. (1982). Epidemiologic Research: Principles and Quantitative Methods. Lifetime Learning Publications, Belmont, California.
18. Laupacis, A., Sackett, D. L., and Roberts, R. S. (1988). An assessment of clinically useful measures of the consequences of treatment. New England Journal of Medicine 318, 1728-1733.
19. Le, C. T. (1984). On relative risk estimation under multiple matching. Biometrika 71, 95-196.
20. Lipsitz, S. R., Dear, K. B. G., Laird, N. M., and Molenberghs, G. (1998). Tests for homogeneity of the risk difference when data are sparse. Biometrics 54, 148-160.
21. Lui, K.-J. (1995). Notes on conditional confidence limits under inverse sampling. Statistics in Medicine 14, 2051-2056.
22. Lui, K.-J. (1997). Conditional maximum likelihood estimate and exact test of the common relative difference in combination of 2 × 2 tables under inverse sampling. Biometrical Journal 39, 215-225.
23. Lui, K.-J. (1998). Tests of homogeneity for the relative difference between strata under inverse sampling. Biometrical Journal 40, 227-235.
24. Lui, K.-J. (2004). Statistical Estimation of Epidemiological Risk. Wiley, New York.
25. Lui, K.-J. (2005). Interval estimation of proportion ratio under multiple matching. Statistics in Medicine 24, 1275-1285.
26. Miettinen, O.S. (1970). Estimation of relative risk from individually matched series. Biometrics 26, 75-86.
27. Nurminen, M. (1981). Asymptotic efficiency of general noniterative estimators of common relative risk. Biometrika 68, 525-530.
28. Robins, I., Breslow, N., and Greenland, S. (1986). Estimators of the Mantel-Haenszel variance consistent in both sparse data and large-strata limiting models. Biometrics 42, 311-323.
29. Sackett, D. L., Deeks, F. F., and Altman, D. G. (1996). Down with odds ratio! Evidence-Based Medicine 1, 164-166.
30. Sackett, D. L., Straus, S. E., Richardson, W. S., Rosenberg, W., and Haynes, R. B. (2000). Evidence-Based Medicine: How to Practice and Teach EBM. Churchill Livingstone, Edinburgh.
31. st edn. Gary, North Carolina.
32. Sato, T. (1989). On the variance estimator for the Mantel-Haenszel risk difference. Biometrics 45, 1323-1324.
33. Sato, T. (1990). Confidence limits for the common odds ratio based on the asymptotic distribution of the Mantel-Haenszel estimator. Biometrics 46, 71-80.
34. Sheps, M. C. (1958). Shall we count the living or the dead? New England Journal of Medicine 259, 1210-1214.
35. Sheps, M. C. (1959). An examination of some methods of comparing several rates or proportions, Biometrics 15, 87-97.
36. StatXact (2003). Cytel Statistical Software. Cytel Software Corporation, Cambridge, MA.
37. Tarone, R. E. (1981). On summary estimators of relative risk. Journal of Chronic Diseases 34, 463-468.
38. Vollset, S. E., Hirji, K. F., and Elashoff, R. M. (1991). Fast computation of exact confidence limits for the common odds ratio in a series of 2 × 2 tables. Journal of the American Statistical Association 86, 404-409.