This paper creates rank invariant score tests for grouped or interval
censored data. This generalizes Finkelstein (1986, Biometrics 42, 845-
854), who derived score tests for interval censored data assuming prop
ortional hazards. We frame the problem as a linear rank test of a shif
t in location with a known error distribution. We discuss adjustments
to the test that may be required when the number of observation times
is large. We offer a graphical test of the assumption of the location
shift model and discuss an alternative interpretation of the test usin
g the logistic error when the location shift assumption does not hold.