F. Dominici et al., Meta-analysis of migraine headache treatments: Combining information from heterogeneous designs, J AM STAT A, 94(445), 1999, pp. 16-28
Migraine headache is a common condition in the United States for which a wi
de range of drug and nondrug treatments are available. There is wide disagr
eement about which treatments are most effective; meta-analysis of existing
clinical trials can help to bring existing evidence to bear on this questi
on. Conducting a meta-analysis is a challenging statistical problem because
of the absence of a uniform accepted definition of headache syndromes, the
diversity of treatments, and the heterogeneous and incomplete nature of pu
blished information. The results of studies are summarized in various ways;
most studies report continuous treatment effect?, for each treatment, but
some report only differences in effectiveness for pairs of treatments, and
others report only 2 x 2 contingency tables for dichotomized responses. In
this article we present a hierarchical Bayesian grouped random-effects mode
l for synthesizing evidence from several clinical trials comparing the effe
ctiveness of commonly recommended prophylactic treatments for migraine head
aches. We incorporate explicitly the relationships among the different clas
ses of treatments and introduce latent auxiliary variables to create a comm
on scale for combining information from studies that report results in very
different forms. This model permits us to synthesize this heterogeneous in
formation and to make inferences about treatment effects and the relative r
anks of treatment without understating uncertainty. Estimation, ranking, mo
del validation, and sensitivity analysis are all implemented through simula
tion-based methods.