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

Appendix B, Equation 2

This is the objective function used to solve for p lambda parameters. The objective function involves p simultaneous equations corresponding to p covariates used in the model. Let tilda cap T sub x denote the control total for covariate x. The adjusted weight for person k is obtained by taking the product of the original design weight, d sub k, and the adjustment factor a sub k of lambda. Then the objective function equation for covariate x is defined as the sample weighted (using adjusted weight) sum of covariate x equal to the control total for covariate x.

Return to Appendix B, Equation 2

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.