WEIGHT variable;
The variable in the WEIGHT statement is used as a weight to perform a weighted analysis of the data. Observations that have nonpositive or missing weights are not included in the analysis. If you do not use a WEIGHT statement, all observations that are used in the analysis are assigned a weight of 1.
The HPQUANTSELECT procedure mainly uses each valid weight as the scale factor of its relevant observation. Let denote the design matrix before using weights, and let
denote the diagonal matrix whose diagonal elements are the weights. Then the HPQUANTSELECT procedure mainly uses the weighted design matrix
for its computation. For example, the weighted version of
is
but not
. The only exception is in computing the standardized parameter estimates, which computation uses the weighted standard deviation of the dependent variable and all regressors. These standard deviations are based effectively on the diagonal of
.