Weighted metric scaling (Cuadras and Fortiana 1995b) is a natural extension of classic metric scaling which encompasses several well-known techniques of Euclidean representation of data, including correspondence analysis of bivariate contingency tables. A continuous version of this technique, following the trend initiated in (Cuadras and For-tiana 1993, 1995a) is applied to the study of several...

Power transformations of positive data tables, prior to applying the correspondence analysis algorithm, are shown to open up a family of methods with direct connections to the analysis of log-ratios. Two variations of this idea are illustrated. The first approach is simply to power the original data and perform a correspondence analysis – this method is shown to converge to unweighted log-ratio...

Volume tests in a regression context were introduced in 1939. The concept was revisited in 1985, this time in the case of contingency tables to refine the power of explanation of the χ2 test. This article considers volume tests as a measure of dependency for tables with fixed margins. Building on earlier contributions, this article suggests the use of the volume test statistic as a measure of d...

We describe new results for upper and lower bounds on the entries in multi-way tables of counts based on a set of released and possibly overlapping marginal tables which have practical import for assessing disclosure risk. In particular, we present a generalized version of the shuttle algorithm proposed by Buzzigoli and Giusti that is proven to compute sharp integer bounds for an arbitrary set ...

SUMMARY We propose a new technique for the exact test of Hardy-Weinberg proportion that considerably extends the bounds of computational feasibility. Our algorithm is constructed analogously to a network algorithm for Freeman-Halton exact test in two-way contingency tables. In this algorithm, the smallest and largest values for the statistic are important and some interesting new theorems are p...

This study examined a historical mixture model approach to the evaluation of ratings made in “gold standard” and two-rater 2 × 2 contingency tables. Peirce’s i and the derived i average were discussed in relation to a widely used index of reliability in the behavioral sciences, Cohen’s κ. Sample size, population base rate of occurrence, the true “science of the method”, and guessing rates were ...

We present the Contingency Wheel, a visual method for finding and analyzing associations in a large n×m contingency table with m < 100 and n being two to three orders of magnitude larger than m. The method is demonstrated on a large table from the Book-Crossing dataset, which counts the number of ratings each book received from each country. It enables finding books that received a disproportio...

I develop a new Markov chain algorithm for sampling from sets of multi-way contingency tables defined by an arbitrary set of fixed marginals and by lower and upper bounds constraints on cell counts. My procedure is called the Bounds Sampling Algorithm (BSA) and it relies on the existence of a method to calculate lower and upper bounds for cell entries. BSA accommodates any pattern of structural...