(1) Academic Medical Center, University of Amsterdam, The Netherlands;(2) Department of Clinical Epidemiology and Biostatistics, Academic Medical Center, P.O. Box 226600, 1100 DE Amsterdam, The Netherlands;(3) Tilburg University, The Netherlands
Abstract:
This paper presents a row-column (RC) association model in which the estimated row and column scores are forced to be in agreement
with an a priori specified ordering. Two efficient algorithms for finding the order-restricted maximum likelihood (ML) estimates
are proposed and their reliability under different degrees of association is investigated by a simulation study. We propose
testing order-restricted RC models using a parametric bootstrap procedure, which turns out to yield reliablep values, except for situations in which the association between the two variables is very weak. The use of order-restricted
RC models is illustrated by means of an empirical example.
Francisca Galindo performed this research as a part of her PhD. dissertation project at Tilburg University.