There exists a variety of situations in which a random effects meta-an
alysis might be undertaken using a small number of clinical trials. A
problem associated with small meta-analyses is estimating the heteroge
neity between trials. To overcome this problem, information from other
related studies may be incorporated into the meta-analysis. A Bayesia
n approach to this problem is presented using data from previous meta-
analyses in the same therapeutic area to formulate a prior distributio
n for the heterogeneity. The treatment difference parameters are given
non-informative priors. Further, related trials which compare one or
other of the treatments of interest with a common third treatment are
included in the model to improve inference on both the heterogeneity a
nd the treatment difference. Two approaches to estimating relative eff
icacy are considered, namely a general parametric approach and a metho
d explicit to binary data. The methodology is illustrated using data f
rom 26 clinical trials which investigate the prevention of cirrhosis u
sing beta-blockers and sclerotherapy. Both sources of external informa
tion lead to more precise posterior distributions for all parameters,
in particular that representing heterogeneity.