Equation 2: e, the discrete realization of e star, equals one if the individual was admitted to an inpatient facility and zero otherwise. The probability that e equals one is equal to the value of uppercase phi (the standard normal distribution function) of X times beta plus y times gamma. This is the integral (over epsilon) from minus infinity to X times beta plus y times gamma of the function two times pi to the negative one-half times the exponent of minus epsilon squared over two.

Back to Equation 8.2

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.