%0 Journal Article %A Fry, Tim R. L. %A Sexton, Eileen M. %D 2017 %T The Stochastic Specification of Attraction Models %U https://bridges.monash.edu/articles/journal_contribution/The_Stochastic_Specification_of_Attraction_Models/5090506 %R 10.4225/03/5938b601dc0da %2 https://ndownloader.figshare.com/files/8628475 %K Compositional data analysis %K monash:6923 %K Attraction models %K 1959.1/36063 %K 1996 %X Estimation of attraction models in marketing typically involves the use of the log-centering transformation. The resultant estimating equations are then linear in the parameters. The log-centering transformation also appears in the statistical analysis of compositional data (CODA). CODA techniques are applied to data on "shares" in a wide variety of disciplines. This paper uses CODA techniques to rationalize the stochastic specification of attraction models. It further shows that another transformation from CODA, the log-ratio transform, can yield simpler estimating equations. The results are illustrated using an empirical example. %I Monash University