Estimation following group sequential tests with repeated measurements data

Computational Statistics and Data Analysis

Volumn 32, Issue 1, 1999, Pages 69-77

  Lee, Jae Won ^a   Demets, David L ^b  

^a Korea University   (South Korea)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Group sequential testing; Maximum likelihood estimator; Repeated measurements; Use function

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; COMPUTER SOFTWARE; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NORMAL DISTRIBUTION; STATISTICAL TESTS;

GROUP SEQUENTIAL TESTING; MEAN SQUARE ERROR; REPEATED MEASUREMENTS DATA; SOFTWARE PACKAGE LANDEM; USE FUNCTION;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 0033224730     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(99)00021-3     Document Type: Article

References (23)

1. Cox D.R. A note on the sequential estimation of means. Proc. Cambridge Philos. Soc. 48:1952;447-450.
2. Hughes M.D., Pocock S.J. Stopping rules and estimation problems in clinical trials. Statist. Med. 7:1988;1231-1242.
3. Kim K. Improved approximation for estimation following closed sequential tests. Biometrika. 75:1988;121-128.
4. Kim K. Point estimation following group sequential tests. Biometrics. 45:1989;613-617.
5. Laird N.M., Ware J.H. Random-effects models for longitudinal data. Biometrics. 38:1982;963-974.
6. Lan K.K.G., DeMets D.L. Discrete sequential boundaries for clinical trials. Biometrika. 70:1983;659-663.
7. Lee J.W., DeMets D.L. Sequential comparison of changes with repeated measurements data. J. Amer. Statist. Assoc. 86:1991;757-762.
8. Lee J.W., DeMets D.L. Group sequential comparison of changes: ad-hoc vs. more exact method. Biometrics. 51:1995;21-30.
9. Lindstrom M.J., Bates D.M. Newton-Raphson and EM algorithms for linear mixed effects models for repeated measures data. J. Amer. Statist. Assoc. 83:1988;1014-1022.
10. Love R.R., Mazess R.B., Barden H.S., Epstein S., Newcomb P.A., Jordan V.C., Carbone P.P., DeMets D.L. Effects of tamoxifen on bone material density and metabolism in postmenopausal women with breast cancer. N. Eng. J. Med. 326:1992;852-856.
11. O'Brien P.C., Fleming T.R. A multiple testing procedure for clinical trials. Biometrics. 35:1979;549-556.
12. Pinheiro J.C., DeMets D.L. Estimating and reducing bias in group sequential designs with Gaussian independent increment structure. Biometrika. 84:1997;831-846.
13. Pocock S.J. Group sequential methods in the design and analysis of clinical trials. Biometrika. 64:1977;191-199.
14. Reboussin, D.M., Lan, K.K.G., DeMets, D.L., 1992a. Group sequential testing of longitudinal data. Technical Report 70, Department of Biostatistics, University of Wisconsin-Madison.
15. Reboussin, D.M., DeMets, D.L., Lan, K.K.G., Kim, K., 1992b. Programs for computing group sequential bounds using the Lan-DeMets method. Technical Report 60, Department of Biostatistics, University of Wisconsin-Madison.
16. Schervish M.J. Multivariate normal probabilities with error bound (with corrections in 1985). Appl. Statist. 33:1984;81-94.
17. Siegmund D. Estimation following sequential tests. Biometrika. 65:1978;341-349.
18. Slud E.V., Wei L.J. Two-sample repeated significance tests based on the modified Wilcoxon statistic. J. Amer. Statist. Assoc. 77:1982;862-868.
19. Smith E.L., Sempos C.T., Smith P.E., Gilligan C. Calcium supplementation and bone loss in middle-aged women. Amer. J. Clin. Nutr. 50:1989;833-842.
20. Todd S., Whitehead J., Facey K.M. Point and interval estimation following a sequential clinical trial. Biometrika. 83:1996;453-461.
21. Whitehead J. On the bias of maximum likelihood estimation following a sequential test. Biometrika. 73:1986;573-581.
22. Woodroofe M. Estimation after sequential testing: A simple approach for a truncated sequential probability ratio test. Biometrika. 79:1992;347-353.
23. Wu M.C., Lan K.K.G. Sequential monitoring for comparison of changes in a response variable in clinical studies. Biometrics. 48:1992;765-780.