We illustrate the use of marginal methods for the analysis of multivariate
failure-time data using a large trial in HIV infection in which the composi
te endpoint of AIDS or death incorporates more than 20 events with varying
severity. Multivariate failure-time methods are required to investigate whe
ther treatment delays development of new AIDS events. AIDS events can be gr
ouped and treatment effects estimated using only the first event to occur i
n each group for each individual. Alternatively, all events can be included
by fitting a separate baseline hazard for development of each event, and r
estricting treatment effects to be common within groups of events. In eithe
r case, model-based or minimum-variance estimates of the overall effect of
treatment can be constructed. The covariance matrix for the treatment-effec
t estimates can be used in multiple testing procedures. Results from the De
lta trial suggest that combination antiretroviral therapy with AZT plus eit
her ddI or ddC may delay progression to more severe AIDS events compared to
AZT monotherapy. These late events are generally untreatable and prophylax
is is not available. Trials are not generally powered to detect treatment e
ffects on individual events making up a composite endpoint, and therefore a
ll analyses are exploratory rather than providing definitive evidence. Howe
ver, marginal multivariate models provide an easily available approach for
modeling the effect of covariates on multiple disease processes, and allow
the likely effects of treatment to be presented in a manner which is easily
understood. They can be used in a variety of ways to explore different pat
terns of treatment effects and are also useful for testing multiple hypothe
ses regarding treatment effects on several different composite endpoints. C
ontrol Clin Trials 2000;21:75-93 (C) Elsevier Science Inc. 2000.