The SURVEYLOGISTIC Procedure |

Let be the response variable with categories . The covariates are denoted by a -dimension row vector .

For a stratified clustered sample design, each observation is represented by a row vector, , where

is the stratum index

is the cluster index within stratum

is the unit index within cluster of stratum

denotes the sampling weight

is a -dimensional column vector whose elements are indicator variables for the first categories for variable . If the response of the th unit of the th cluster in stratum falls in category , the th element of the vector is one, and the remaining elements of the vector are zero, where .

is the indicator variable for the category of variable

denotes the -dimensional row vector of explanatory variables for the th unit of the th cluster in stratum . If there is an intercept, then .

is the total number of clusters in the sample

is the total sample size

The following notations are also used:

denotes the sampling rate for stratum

is the expected vector of the response variable:

Note that , where **1** is a -dimensional column vector whose elements are .

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