Assume there is a list of M products from which some number N of respondents select the most preferable one before and after the advertisement of one of these products. The problem is to test the hypothesis that the advertisement is good enough to increase sales of the product up to a certain level. This seemingly easy problem can be approached via quite sophisticated statistical models describing the mechanism of consumer behaviour. Study of these models requires nonstandard statistical thinking.
description of consumer purchase behaviour
It is well-known that the Gamma-Poisson and Polya urn schemes are very well suited to describe consumer purchase behaviour in the market.
Research in the present direction includes numerical and theoretical study of the dynamical models leading to these schemes, study of probability distributions arising under different conditioning arguments, asymptotic properties of various statistical procedures concerning the parameters of the negative binomial and Dirichlet distributions.
analysis of questionaires
The objective is development of a methodology of exploratory analysis of typical questionary data, construction of suitable parametric models and making statistical inference in them. The parametric statistical problems arising include inference in a mixed regression model.
See also: Multivariate Statistical Analysis