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

Appendix B, Equation 1

The adjustment factor a sub k depends on lambda and is defined as the ratio of two quantities. The quantity in the numerator is defined as the sum of two terms. The first term is calculated as the product of l sub k and the difference between u sub k and c sub k. The second term is calculated as the product of u sub k, the difference between c sub k and l sub k, and the value of the exponential function obtained at cap A sub k times the linear combination of covariates corresponding to person k using elements of lambda as the multipliers. The quantity in the denominator is defined as the sum of two terms. The first term is the difference between u sub k and c sub k. The second term is calculated as the product of the difference between c sub k and l sub k, and the value of the exponential function obtained at cap A sub k times the linear combination of covariates corresponding to person k using elements of lambda as the multipliers.

Return to Appendix B, Equation 1

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.