An application of canonical expansions to media exposure distributions
作者:
Peter J. Danaher,
期刊:
Journal of Applied Statistics
(Taylor Available online 1992)
卷期:
Volume 19,
issue 2
页码: 183-192
ISSN:0266-4763
年代: 1992
DOI:10.1080/02664769200000015
出版商: Carfax Publishing Company
数据来源: Taylor
摘要:
A model for media exposure probabilities is developed which has the joint probability of exposure proportional to the product of the marginal probabilities. The model is a generalization of Goodhardt & Ehrenberg's ‘duplication of viewing law’, with the duplication constant computed from a truncated canonical expansion of the joint exposure probability. The proposed model is compared on the basis of estimation accuracy and computation speed with an accurate and quick ‘approximate’ log-linear model (as noted previously)and the popular Metheringham beta-binomial model. Our model is shown to be more accurate than the approximate log-linear model and four times faster. In addition, it is much more accurate than Metheringham's model.
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