We perform several nonparametric correlation tests on the BATSE 3B dat
a to search for evidence of cosmological time dilation. These tests ac
count for the effects of data truncation due to threshold effects in b
oth limiting brightness and limiting duration, enabling us to utilize
a larger number of bursts than in previous analyses. We find little si
gnificant evidence for correlation between various measures of peak in
tensity and duration, but the tests cannot conclusively rule out time
dilation factors of 2 or less without more data. There is stronger evi
dence for a positive correlation between fluence and duration, which i
f confirmed would rule out simple no-evolution cosmological models unl
ess there is a strong intrinsic correlation between the total radiant
energy and the duration of bursts.