Equation 6: The joint probability that the individual chooses a facility that receives public funding and is admitted to inpatient treatment is a double integral. It is the integral over nu from minus Z times alpha to infinity and the integral over epsilon of minus X times beta minus gamma to infinity of lowercase phi, the bivariate normal density function, with correlation rho. This reduces to the bivariate normal distribution function (uppercase phi) evaluated at X times beta plus gamma, Z times alpha, and rho.

Back to Equation 8.6

This page was last updated on May 16, 2008.

SAMHSA, an agency in the Department of Health and Human Services, is the Federal Government's lead agency for improving the quality and availability of substance abuse prevention, addiction treatment, and mental health services in the United States.