We introduce a family of goodness-of-fit statistics for testing composite null hypotheses in multidimensional contingency tables of arbitrary dimensions. These statistics are quadratic forms in marginal residuals up to order r. They are asymptotically chi-square under the null hypothesis when...

The classical method (Mosteller, 1951) for estimating Thurstone´s Case V model for ranking data consists in a) transforming the observed ranking patterns to patterns of binary paired comparisons, b) obtaining the normal deviate corresponding to the men of each binary variable, and c) estimate...

We show how to test hypotheses for coefficient alpha in three different situations: Hypothesis tests of whether coefficient alpha equals a prespecified value, Hypothesis tests involving two statistically independent sample alphas as may arise when testing the equality of coefficient alpha across...

(WP 14/03 Clave pdf)High-dimensional contingency tables tend to be sparse and standard goodness-of-fit statistics such as X 2 cannot be used without pooling categories.As an improvement on arbitrary pooling, for goodness-of-fit of large 2 n contingency tables, we propose a class of quadratic...

In this paper we re-examine the measurement of entrepreneurial activity and provide a model-based approach at measure. The Global Entrepreneurship Monitor (GEM) project has been a key addition to our ability to measure and compare rates of entrepreneurial activity. But even though there is...

(WP 04/03 Clave pdf) Thurstone´s (1927) is not a proper model for multiple judgment paired comparison data as it assigns zero probabilities to all intransitive patterns. To obtain a proper model, Takane (1987) extended Thurstone´s model by adding a vector of pair specific random errors. We...

(WP03/03 Clave pdf) We consider the estimation of multivariate normal structural models that have been discretized according to a set of thresholds. A popular estimation procedure for this restricted multinomial model consists in the following three stage estimator: First, estimate by maximum...

(WP 02/03 Clave pdf) The common factor model assumes a linear relation between the observed variables and a set of underlying latent traits. It also assumes that the linear coefficients, intercepts and slopes (factor loadings), linking the observed variables to the latent traits are fixed...

We introduce a multidimensional latent trait model for binary data with non-monotone item response functions. We assume that the conditional probability of endorsing an item is a normal probability density function, and that the latent traits are normally distributed. The model yields closed...

(WP 10/03 Clave pdf) We show that when the thresholds and the polychoric correlation are estimated in two stages, neither Pearson´s X² nor the likelihood ratio G² goodness of fit test statistics are asymptotically chi-square.We propose a new test statistic, Mn, that is asymptotically...