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Far East Journal of Theoretical Statistics

Far East Journal of Theoretical Statistics
Volume 13, Issue 1, Pages 101 - 126 (May 2004)

IMPROVED TESTS OF HOMOGENEITY IN RANDOMIZED CONTROLLED MULTI-CENTER TRIALS WITH BINARY OUTCOME
Joachim Hartung (Germany) and Guido Knapp (Germany)

Abstract:
In this paper we present new tests of homogeneity for the outcome measures risk difference and log odds ratio in randomized controlled multi-center trials provided that the between-center variance is the parameter of heterogeneity. Moreover, we show that the commonly used test of homogeneity can be improved in case the inverses of the variances of the estimated parameters in each center are estimated more efficaciously. But the new proposed general c²-test has better properties concerning size and power than the modified commonly used test based on results of a simulation study.

Furthermore, one- and two-sided confidence intervals for the between-center variance are deduced. A simulation study shows that these confidence intervals satisfactorily keep the prescribed confidence coefficient.

Keywords and phrases: risk difference, odds ratio, test of homogeneity, random effects model, confidence interval for the between-center variance, meta-analysis.

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