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Modelling over- and underdispersed frequencies of successful ink transmissions onto paper
Authors:Verena Feirer  Ulrich Hirn
Institution:Institute of Paper-, Pulp- and Fibre Technology, Graz University of Technology , Inffeldgasse 23, 8010, Graz , Austria
Abstract:This work focuses on the statistical modelling of successful or failed ink transmission during the printing of packaging paper. The main aim is to explain the probability of successful ink transmission with the help of a regression model. But many of the applied logistic regression models show that the variabilities of various samples from the printability data set range from much smaller to much larger values than the variability assumed in a binomial model. Hence, the main part of this paper concentrates on the discussion of distribution families that are capable of handling such a wide spectrum of different variations of frequency data.
Keywords:logistic regression  binomial responses  frequency data  multiplicative binomial distribution  double binomial distribution
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