×

On binary longitudinal mixed models in adaptive clinical trials. (English) Zbl 1074.62067

Summary: In an adaptive clinical trial research, it is common to use data dependent design weights to assign individuals to treatments so that more study subjects are assigned to a better treatment. These design weights must be exploited for the consistent estimation of the treatment effect. In an adaptive longitudinal clinical set-up, the repeated responses of an individual will, however, be affected by the design weights as well as individual random effects and certain fixed time effects. We provide an estimation approach that takes the variability of the individual random effects and the longitudinal correlations of the repeated responses into account, and produces consistent and efficient estimates for the treatment effects. The performance of this approach is examined through a simulation study.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62N02 Estimation in survival analysis and censored data

Software:

Fahrmeir
Full Text: DOI

References:

[1] Bandyopadhyay U., Sankhya A 61 pp 396– (1999)
[2] DOI: 10.1093/biomet/88.2.409 · Zbl 0984.62054 · doi:10.1093/biomet/88.2.409
[3] Rosenberger W. F., Journal of Biopharmaceutical Statistics 11 pp 227– (2001) · doi:10.1081/BIP-120008846
[4] Sutradhar B. C., Scandinavian Journal of Statistics (2004)
[5] DOI: 10.1093/biomet/75.4.621 · Zbl 0653.62064 · doi:10.1093/biomet/75.4.621
[6] DOI: 10.1080/03610929508831642 · Zbl 0875.62089 · doi:10.1080/03610929508831642
[7] DOI: 10.1111/j.0006-341X.1999.00688.x · Zbl 1059.62566 · doi:10.1111/j.0006-341X.1999.00688.x
[8] DOI: 10.1111/j.0006-341X.1999.00085.x · Zbl 1059.62723 · doi:10.1111/j.0006-341X.1999.00085.x
[9] DOI: 10.2307/2286290 · Zbl 0391.62076 · doi:10.2307/2286290
[10] DOI: 10.2307/3316054 · Zbl 1013.62082 · doi:10.2307/3316054
[11] Fahrmeir L., Multivariate Statistical Modelling Based on Generalized Linear Models (1994) · Zbl 0809.62064 · doi:10.1007/978-1-4899-0010-4
[12] Wedderburn R., Biometrika 61 pp 439– (1979)
[13] DOI: 10.1093/biomet/86.2.459 · Zbl 0956.62053 · doi:10.1093/biomet/86.2.459
[14] DOI: 10.1093/biomet/89.2.389 · Zbl 1017.62063 · doi:10.1093/biomet/89.2.389
[15] DOI: 10.1093/biomet/73.1.13 · Zbl 0595.62110 · doi:10.1093/biomet/73.1.13
[16] DOI: 10.1016/S0167-7152(01)00127-4 · Zbl 0999.62053 · doi:10.1016/S0167-7152(01)00127-4
[17] DOI: 10.1093/biomet/87.4.837 · Zbl 1028.62009 · doi:10.1093/biomet/87.4.837
[18] DOI: 10.2307/2532642 · Zbl 0729.62560 · doi:10.2307/2532642
[19] DOI: 10.2307/3315998 · Zbl 1046.62073 · doi:10.2307/3315998
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.