# Dmitrienko Tamhane Liu Wiens 2008

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Dmitrienko, A., Tamhane, A., Liu, L., Wiens, B. (2008). A note on tree gatekeeping procedures in clinical trials. Statistics in Medicine. 27, 3446-3451.

## Abstract

Dmitrienko et al. (2007) Dmitrienko Wiens Tamhane Wang 2007 proposed a tree gatekeeping procedure for testing logically related hypotheses in hierarchically ordered families which uses weighted Bonferroni tests for all intersection hypotheses in a closure method. An algorithm was given to assign weights to the hypotheses for every intersection. The purpose of this note is to show that any weight assignment algorithm that satisfies a set of sufficient conditions can be used in this procedure to guarantee gatekeeping and independence properties. The algorithm used in Dmitrienko et al. (2007) may fail to meet one of the conditions, namely monotonicity of weights, which may cause it to violate the gatekeeping property. An example is given to illustrate this phenomenon. A modification of the algorithm is shown to rectify this problem.

## Paper

Download Dmitrienko Tamhane Liu Wiens 2008.

## Extensions

The methodology developed in this paper has been extended in the following papers:

- Gatekeeping procedures with more general logical relationships based on Dunnett test, see Dmitrienko Offen Wang Xiao 2006.

- Gatekeeping procedures with most general logical relationships based on a broad family of separable tests, see Dmitrienko Tamhane Liu 2008 and Dmitrienko Tamhane 2010.

## Review papers and chapters

For more information on gatekeeping procedures in clinical trials, see

- Dmitrienko Tamhane 2007 (review paper).

- Dmitrienko Tamhane 2009 (Chapter 5 in Multiple Testing Problems in Pharmaceutical Statistics published in 2009 in the Chapman and Hall/CRC Biostatistics Series).

## Other papers

For information on other publications on gatekeeping procedures in clinical trials, see Gatekeeping Papers.