By Maurizio Carpita, Eugenio Brentari, El Mostafa Qannari
The booklet, belonging to the sequence “Studies in Theoretical and utilized statistics– chosen Papers from the Statistical Societies”, offers a peer-reviewed number of contributions on suitable issues geared up by way of the editors at the party of the SIS 2013 Statistical convention "Advances in Latent Variables. tools, types and Applications", held on the division of Economics and administration of the college of Brescia from June 19 to 21, 2013.
The concentration of the booklet is on advances in statistical tools for analyses with latent variables. actually, lately, there was expanding curiosity during this extensive examine region from either a theoretical and an utilized perspective, because the statistical latent variable procedure permits the potent modeling of complicated real-life phenomena in a variety of examine fields.
A significant objective of the quantity is to assemble articles written by means of statisticians from various learn fields, which current diversified methods and stories concerning the research of unobservable variables and the examine of the relationships among them.
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Extra info for Advances in Latent Variables: Methods, Models and Applications
This is a very common situation arising in consumer surveys since interviewees are generally unable to describe objectively their perceptions and then they tend to give hedonically based judgements rather than specific and thoughtful evaluations. For this reason, the ratings concerning connected items are often correlated and a multivariate approach is needed in order to understand the authentic map of consumer preferences. In this respect, despite the CUB model has proved to be a successful statistical tool for describing the judgements on a single item in food quality studies [2,15,19], the problem of multivariate ordinal data representation within this class of models is still open.
166, Department of Statistics, University of British Columbia (1996) 19. : Analyzing and modelling rating data for sensory data in food industry. Quaderni di Statistica 13, 69–82 (2011) 20. : Families of Bivariate Distributions. Griffin, London (1970) 21. : Regression models for ordinal data (with discussion). J. R. Stat. Soc. Ser. B 42, 109–142 (1980) 22. : Generalized Linear Models, 2nd edn. Chapman & Hall, London (1989) 36 M. Corduas 23. : A multivariate Plackett distribution with given marginal distributions.
2 the conditional joint probability distributions of the ratings about the two considered items is illustrated given the country of origin. The values of the estimated parameters are both positive and rather close, although the consumers 34 M. Corduas Fig. 2 Joint probability distribution of PROD19 and PROD24 (left panel: Italian consumers; right panel: Others from Italy seems to show a lower level of association between the ratings that they express. Furthermore, we evaluated the probability that a consumer will assign a rate over 5 to both products.
Advances in Latent Variables: Methods, Models and Applications by Maurizio Carpita, Eugenio Brentari, El Mostafa Qannari