GMIX

Purpose

Specifies that geometric mixture models will be fit and indicates the value of the mixing parameter .

Syntax

GMIX mixvalue

Arguments and Subcommands

mixvalue

The value of the mixing parameter  to be used in fitting the model.

Remarks

The geometric mixture model has the form:

         

where  is either a relative risk term () or an excess relative risk term (). By default, terms in a geometric mixture model are relative risk terms. The GTERM command is used to change the term type.

The mixing parameter may have any value. A value of 1 corresponds to a generalized multiplicative model in which the risk function has the form:

         

If mixvalue equals 0, then the model to be fit is similar to a product additive model. This model has the form:

         

where  is either a relative or excess risk term.

Examples

a)  To fit a model which allows for a multiplicative effect of amount smoked ( smk) on dose with no interaction. The background is also modeled as a loglinear function of the logarithm of attained age lage. This model can be written:

         

GMIX 1 @

LOGL 0 %CON lage @

LOGL 1 dose @

LOGL 2 smk @

FIT @

b)  To fit an additive excess relative risk model to these same data. This model is

         

GMIX 0 @

LOGL 0 %CON lage @

LOGL 1 dose @

LOGL 2 smk @

FIT @

c)  To fit a mixture model to the smoking and dose data with a mixing parameter of 0.9. It is assumed that the term-specification commands were given previously so only the GMIX and FIT commands are necessary to change the model. The new model is:

GMIX 0.9

FIT @