The effectiveness of jackknife methods in reducing bias in the estimat
ion of the lag-1 autocorrelation parameter rho1 was evaluated. A Monte
Carlo investigation was carried out to study the empirical bias, mean
-square error, and variance properties of three jackknife estimators u
sing sample sizes that ranged from 6 through 500. The results demonstr
ated that these estimators are far less biased in the small sample cas
e than are many other estimators that have been recently investigated.
Results on the mean-squared error revealed that the advantage of grea
tly reduced bias associated with the jackknife estimators does not ove
rcome the disadvantage of increased error variance. Three previously i
nvestigated estimators yield smaller mean-squared error than do the ja
ckknife estimators or the conventional estimator at most sample sizes.