Models for a series of studies based on geometrical representation

Transversal analysis in matched series of studies

“…There is existence of a significant common structure of the one degree, since the tests with statistics F were significant, see Areia et al, (2008).…”

“…In general R and β aren't independent. Thus, we are led to get a homocedastic vector of residues independent from β (ver [1]). …”

“…and the matrix S = [s i j ] , i, j = 1,...,k, with s i j = tr A i A t j , i, j = 1,...,k. [1], developed a model for a structure of degree h for matrix S in the form…”

STATIS and DISTATIS: optimum multitable principal component analysis and three way metric multidimensional scaling

“…If not then maybe the set of tables needs to be partitioned into homogenous sets of tables and a new analysis can be run on each of these homogenous sets. This approach has been developed analytically recently [85][86][87][88] and can, under standard (but somewhat stringent) assumptions (e.g., normality, random sampling of the tables, etc. ), provide point estimates, statistical tests, and confidence intervals.…”

Asymptotic linearity and limit distributions, approximations

“…Ito, 1980;Lazraq and Cleroux, 2001;Mexia, 2007a, 2007b;Sabatier and Traissac, 1994;Scheffé , 1959). In Areia et al (2008) it is pointed out that low degree polynomials in normal independent variables, with sufficiently small variation coefficients, are approximately normal. Moreover, also in Areia et al (2008), are presented simulations suggesting that, when JlJ-þ 1, a polynomial Pðl þ XÞ has a leading component linear in X.…”