MULTIPLICATIVE

Purpose

Specifies the model form as multiplicative excess relative risk.

Syntax

MULTIPLICATIVE

Arguments and Subcommands

None

Remarks

The multiplicative excess relative risk model has the form

When the EXCESS or BACK commands are used to cause computation of the estimated number of background (%BK) and excess (%EX) following each fit, the number of background cases is determined by the value of term 0 (T0)  and the number of excess cases is defined as the difference between the fitted and background values (i.e. %FV - %BK).  The value of %BK is typically S T0, where S is a scaling factor such as the number of person years in rate regression (AMFIT) or the number of trials in logistic regression.  In this case %EX is  

When looking at joint effects of multiple risk factors (i.e. when n is greater than 2 or more).  One is often interested in the estimated number of excess cases associated with each exposure (Ti).  Computation of these values requires some effort, but can be done in a relatively straightforward manner using the PARA command with the AS option to save the parameters of interest and some transformations.  In the case of two multiplicative risk factors the number of excess cases associated with the first of these risk factors is .  For the more general case of n multiplicative risk factors the number of excess cases associated with the ith risk factor is  .