(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 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...

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...