I have developed a random effects probit model in which the distribution of
the random intercept is approximated by a discrete density. Monte Carlo re
sults show that only three to four points of support are required for the d
iscrete density to closely mimic normal and chi-squared densities and provi
de unbiased estimates of the structural parameters and the variance of the
random intercept. The empirical application shows that both observed family
characteristics and unobserved family-level heterogeneity are important de
terminants of the demand for preventive care. Copyright (C) 2001 John Wiley
& Sons, Ltd.