Two factor saturated designs: cycles, Gini index and state polytopes

In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Li et al.ear algebra, we define a criterion to check whether a given fraction is saturated or not. We also compute the number of saturated fractions, providing an alternative proof of the Cayley's formula. Finally we show how, given a list of saturated fractions, Gini indexes of their margins and the associated state polytopes could be used to classify them

Il profilo statistico socio-economico della provincia di Ferrara. Confronti temporali e territoriali.

CAPITOLI 1-

Statistical Software for Multivariate Permutation Tests

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Moment-based multivariate permutation tests for ordinal categorical data

Stochastic dominance problems in testing for ordered categorical variables are of specific interest in performance analysis, because they are frequently encountered in practice and present distinctive difficulties, especially within the framework of likelihood ratio tests. Until now, the literature has essentially considered the univariate case, and several solutions have been proposed to cope with it, most of which are based on restricted maximum likelihood ratio tests. These solutions are generally criticised, because the degree of accuracy of their asymptotic null and alternative distributions is difficult to assess and characterise. In this paper, we propose a new exact solution based on a simultaneous analysis of a finite set of sampling moments of ranks, or general scores, assigned to ordered classes and processed within a permutation approach

Advances on inferential methods for heterogeneity comparisons

The purpose of the present work consists in the study of a non-parametric procedure for a two sample test for heterogeneity comparisons in presence of categorical variables. In particular a comparison between an approximated permutation solution and a new proposal based on a bootstrap resampling method is performed. Some results of the simulation study for analyzing the performances of the compared methods are shown. An application related to a customer satisfaction survey is also illustrated

Metodi Non Parametrici per l'Analisi di Performance con Applicazioni alla Valutazione del Sistema Universitario

In questo lavoro vengono illustrate alcune soluzioni metodologiche non parametriche per il trattamento di dati multivariati, categoriali o misti, nel contesto dell'analisi di performance con particolare riferimento alla valutazione del sistema universitario

A Comparison of Different Methods for the Construction of Composite Indicators

Composite indicators may be used to measure complex variables which are not directly measurable. The basic idea is to break down a latent variable into components which can be measured by means of simple (partial) indicators. The partial indicators are then combined to obtain a composite indicator. This paper discusses the development of composite indicators and their robustness. In particular, the comparison of different methods to construct composite indicators is addressed. A Monte Carlo simulation study is performed to evaluate the different methods