Cross-over trials assign two or more treatments sequentially to the sa
me subject; groups of subjects receive different treatment sequences.
Both parametric and non-parametric methods of inference are available
for cross-over trials with complete data. In this paper we develop met
hods for estimation and testing in cross-over trials with censored dat
a, based partly on methods used for complete data. Our estimator is co
nsistent for the true effects. Simulation results show that both of ou
r proposed tests have approximately nominal size. We compare our proce
dures to a method for cross-over designs based on Cox regression propo
sed by France, Lewis and Ray. We demonstrate that our method of estima
tion is superior to the Cox-based method, which has considerable bias.
Both of the tests presented here have more power than the Cox-based t
ests in all of the situations we investigated. The estimation and test
procedures apply to other designs, such as parallel trials and repeat
ed measures designs.