Advances in Latent Variables: Methods, Models and by Maurizio Carpita, Eugenio Brentari, El Mostafa Qannari

By Maurizio Carpita, Eugenio Brentari, El Mostafa Qannari

The booklet, belonging to the sequence “Studies in Theoretical and utilized records– chosen Papers from the Statistical Societies”, offers a peer-reviewed collection of contributions on suitable themes geared up by way of the editors at the social gathering of the SIS 2013 Statistical convention "Advances in Latent Variables. tools, versions and Applications", held on the division of Economics and administration of the collage of Brescia from June 19 to 21, 2013.

The concentration of the e-book is on advances in statistical tools for analyses with latent variables. actually, lately, there was expanding curiosity during this wide learn sector from either a theoretical and an utilized viewpoint, because the statistical latent variable technique permits the potent modeling of advanced real-life phenomena in a variety of examine fields.

A significant target of the amount is to collect articles written by means of statisticians from diversified examine fields, which current diversified ways and stories relating to the research of unobservable variables and the learn of the relationships among them.

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0; 0:6. In this representation, “Availability of free time”, “Expectation of future gains” and “Perspectives of career” get the lowest satisfaction. “Security of the job”, “Relationships with co-workers” and “Coherence with studies” are considered very satisfying, comparatively. With regard to the indecision in the answers, we observe that respondents are more uncertain about “Security of the job”, “Coherence with studies” and “Availability of free time”. Finally, we observe that the global satisfaction is not a mere average of expressed satisfaction for the different facets.

1, respectively. x; y/. The problem goes back to the earlier contribution of Yule [33], Pearson [26], Pearson and Heron [27] who lively debated about the probability model with constant association coefficient, its capability to reproduce the bivariate Normal and, therefore, to model frequency surfaces in actual practice. The genesis of Modelling Correlated Consumer Preferences 29 the distribution that Plackett introduced later, in 1965, is strictly related to that debate. The differences with the Normal distribution are mainly due to the fact that Plackett’s model with Normal margins is characterized by the skewness of the conditional distributions, the nonlinearity of its regressions and, by definition, by the fact that the invariance property of the association coefficient is not verified (as follows by earlier Pearson’s results [26], Mosteller [25], and Goodman [10]).

In that regard, Wald and likelihood ratio tests may be exploited; often, AIC and BIC criteria have been used. n/ is moderate or large, as it happens in our data set, traditional X 2 measures are not effective since they tend to reject adequate fitting even in case of empirical and estimated distributions nearly overlapping. Thus, we prefer relying on dissimilarity indexes or using an observed/predicted table where prediction of ordinal data have been obtained by some location index (as modal values, median, expectation).

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