A0253
Title: Logistic multidimensional data analysis for ordinal response variables using a cumulative link function
Authors: Mark De Rooij - Leiden University (Netherlands) [presenting]
Abstract: A multidimensional data analysis framework is presented for the analysis of ordinal response variables. We assume a continuous latent variable underlying the ordinal variables, leading to cumulative logit models. The framework includes unsupervised methods when no predictor variables are available and supervised methods when predictor variables are available. We distinguish between dominance variables and proximity variables, where dominance variables are analyzed using inner product models, whereas the proximity variables are analyzed using distance models. An expectation-majorization-minimization algorithm is derived for the estimation of the parameters of the models. We illustrate our methodology with data from the International Social Survey Programme.
