Stochastic Models of Consumer Response

Cover Stochastic Models of Consumer Response
Stochastic Models of Consumer Response
David Bruce Montgomery
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His heterogeneous Bernoulli model discussed earlier turns out to be a special case of the Brand Loyal Model.
He develops a minimum chi square procedure for estimating and testing these models with an arbitrary heterogeneity distribution. Such a procedure yields best asymptotically normal estimates of the parameters as well as a chi square statistic which measures the overall "goodness of fit" of the model to 1 Q the data. It should also be noted that he has developed the power of the chi square
... tests against specific alternatives, thus facilitating a direct comparison of alternative models.
Attention was then focused on an initial empirical comparison of these models. Using Chicago Tribune panel coffee data from January 1956 through February 1959, he fitted each of his models to several alternative segmenta- tions of the market. He found that the Brand Loyal Model yielded the best fits as measured by the chi square statistics. Since each of these models has a different number of degrees of freedom, one really should compare their respective chi square probability levels rather than the actual values.


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