MARIA PIERA ROGANTIN

In this paper we study the behavior of the fractions of a factorial design under permutations of the factor levels. We code the s levels of a factor with the s-th roots of the unity. We focus on the notion of regular fraction in the complex coding, called C-regularity. We introduce methods to check whether a given symmetric orthogonal array can...

In this work we consider the weighted kappa as a measure of rater agreement for ordinal variables, and we use a simulated annealing algorithm to find the maximum agreement configuration. The proposed algorithm allow us to show, through some examples, that the maximum agreement depends strongly on the choice of the weighting scheme.

The expected value of some complex valued random vectors is computed by means of the indicator function of a designed experiment as known in algebraic statistics. The general theory is set-up and results are obtained for nite discrete random vectors and the Gaussian random vector. The precision space of some cubature rules/designed experiments...