ROGANTIN , Maria Piera

No description

No description

No description

No description

No description

No description

No description

No description

This paper presents the computation of Markov bases for contingency tables when the cell entries are bounded. Markov bases allow a connected random walk on the reference set of the table. Using some theory in Commutative Algebra, we show that a Markov basis for bounded contingency tables is in general different from the Markov basis for...

Let $(X, Cal X, mu)$ be a measure space, and let $Cal M(X,Cal X,mu)$ denote the set of the $mu$-almost surely strictly positive probability densities. It was shown by G. Pistone and C. Sempi (1995) that the global geometry on $Cal M(X,Cal X,mu)$ can be realized by an affine atlas whose charts are defined locally by the mappings $Cal M(X,Cal...

No description

Il libro presenta le principali metodologie statistiche per l'analisi di dati multivariati con particolare attenzione alle basi matematiche

No description

No description

The problem of finding a fraction of a two-level factorial design with specic properties is usually solved within special classes, such as regular or Plackett–Burman designs. We show that each fraction of a two-level factorial design is characterized by the ANOVA representation of its polynomial indicator function. In particular, such a...

In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Linear 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,...

In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. Exploiting the identification of a fraction with a binary contingency table, we define a criterion to check whether a fraction is saturated or not with respect to a given model. The proposed criterion is based on combinatorial ...

Generalized Word Length Pattern (GWLP) is an important and widely-used tool for comparing fractional factorial designs. We consider qualitative factors, and we code their levels using the roots of the unity. We write the GWLP of a fraction F using the polynomial indicator function, whose coefficients encode many properties of the fraction. We...

The aim of this work is to highlight some interesting connections between contingency tables analysis and design of experiments. In particular, we consider two-way tables in correspondence to two-factor designs. We provide a condition that characterizes the estimability of the independence model for all saturated fractions.

No description