Patterns of Mental Health Service Utilization and Substance Use Among Adults, 2000 and 2001

Appendix B, Equation 3

This is the equation used to minimize the distance function. Delta of w and d equals summing over all k (persons), the product of the sum of two quantities and the ratio of d sub k to cap A sub k. The first quantity is calculated as the product of the difference between a sub k and l sub k, and the logarithm of the ratio of the difference between a sub k and l sub k to the difference between c sub k and l sub k. The second quantity is defined as the product of the difference between u sub k and a sub k, and the logarithm of the ratio of the difference between u sub k and a sub k to the difference between u sub k and c sub k.

Return to Appendix B, Equation 3

This page was last updated on June 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.