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Understanding Consumer Reactions to Assortment Unavailability

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interaction effects between assortment structure and brand equity and between assortment<br />

structure and (relative) assortment size. To do so, we estimate an additional model in which we<br />

add the following interaction terms <strong>to</strong> Equation 1: STRi,p,r × BEi,b and STRi,p,r × ASi,p,r.<br />

We measure SSI on a single five-point scale. Because this scale should be considered an<br />

ordinal scale, we use an ordered probit model instead of the standard linear regression model <strong>to</strong><br />

estimate Equation 1 (Long 1997). In an ordered probit model, the observed response variable is<br />

modeled on an underlying continuous variable yi * , which depends linearly on explana<strong>to</strong>ry<br />

variables. We estimate the model with maximum likelihood in E-Views 4.0. To estimate the<br />

effect of our explana<strong>to</strong>ry variables on assortment satisfaction and complaining behavior, we use<br />

a standard linear regression model with ordinary least squares, because the summation of the<br />

three CIs can be considered an interval scale.<br />

Prior <strong>to</strong> estimating the model for Equation 1, we assess whether multicollinearity might<br />

cause severe problems in our data by considering the correlation among the independent<br />

variables (see Table 3.4). In general, the correlation among the independent variables is low. We<br />

also compute the variance inflation fac<strong>to</strong>rs and find that all are less than 2. Therefore, we<br />

conclude that multicollinearity will not affect our estimation results (Hair et al. 1998; Leeflang et<br />

al. 2000). We use White’s (1980) method <strong>to</strong> correct for potential heteroscedasticity in the errors<br />

and variables.<br />

82

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