This is really a form of model misspecification that occurs when using "% of stores" type variables in a multiplicative model
. The response is being modeled as one multiplicative function, but it is really the sum of two multiplicative functions (promoted stores and nonpromoted stores - [ILLUSTRATION FOR FIGURE 4 OMITTED]).
Then we describe the various models used, including the traditional models which are a multiple linear regression model (MLR) and multiplicative model
King's attempt to surpass the additive models of double and triple jeopardy and to construct an alternative model that would more adequately theorize the simultaneous and multiplicative interactions among race, class, and gender continues to exert a powerful influence on contemporary black feminist theory, as is clear from the many essays in Theorizing Black Feminisms that, even when they do not explicitly cite King, present specific applications of her multiplicative model
to different areas of study in the social sciences.
This statement of the model shows why the DP model is referred to as a multiplicative model
: The observed correlations among measured variables are mathematically defined as a function of the product between latent traits and latent methods.
This distinction may be easy to miss when the logistic model is written in its logit form, where it may appear additive, when in fact additivity of logarithms translates into a multiplicative model
. Significant interaction terms in logistic models result only when a departure from the multiplicative state is detected (Kleinbaum et al., 1982).
If one uses an additive model when a multiplicative model
is in fact correct, as with the data from Gillet and Schwab (1975), the model will be misspecified.
The simplest of these models, the additive model and the multiplicative model
, were found to describe a host of judgmental phenomena in domains as diverse as psychophysics (Anderson, 1970) and social psychology (Anderson, 1971).
Meanwhile, the multiplicative model
implies a retail user price reduction of 50%, to $50.
The PCA is a multiplicative model
that contains no sources of variation for additive G or E main effects and does not analyze the interactions effectively.
considered three mathematical forms for relative risk: the multiplicative model
: relative risk (RR) = [e.sup.[beta]d] where d is cumulative TCDD or TEQ exposure; the additive model: RR = 1 + [beta]d (equivalent to our linear model, Equation 1); and the power model: RR = [(1 + [beta]d).sup.k], which is an extension of the additive model.