The SURVEYREG Procedure

Domain Analysis

A DOMAIN statement requests that the procedure perform regression analysis for each domain.

For a domain D, let $I_ D$ be the corresponding indicator variable:

\[  I_{D}(h,i,j) = \left\{  \begin{array}{ll} 1 &  \mbox{if observation $(h,i,j)$ belongs to domain \Mathtext{D}} \\ 0 &  \mbox{otherwise} \end{array} \right.  \]

Let

\[ v_{hij} = w_{hij}I_ D(h,i,j) = \left\{  \begin{array}{ll} w_{hij} &  \mbox{if observation } (h,i,j) \mbox{ belongs to domain } D \\ 0 &  \mbox{otherwise} \end{array} \right.  \]

The regression in domain D uses v as the weight variable.