George Mason University
AES/SCS Statistics Colloquium Series
Seminar Announcement



PLS Alternatives to Generalised Linear Regression and to Causal Path Modeling

Vincenzo Esposito Vinzi

University of Naples "Federico II"


ABSTRACT

PLS (Partial Least Squares or Projection to Latent Structures) methods represent a new generation of statistical procedures. They cover a very broad area of statistical methods, from regression to generalised linear models, from data analysis to path modelling, with several theoretical and statistical properties being demonstrated. Nowadays, the success of PLS methods is widely recognized in chemistry, oil industry, food industry, medicine, biology. These methods are now getting the same level of success in business and industry, especially in the areas of marketing and strategic management. PLS regression (PLS1 for the univariate case and PLS2 for the multivariate one) fits particularly well to situations where classical OLS regression is unstable or not feasible at all (high degree of multicollinearity, small number of observations compared to the number of variables, missing data). There exist several versions of the PLS algorithm within the regression framework. At first, the seminar will deal with some extensions of these algorithms to the case of ordinal response variables (PLS logistic regression) as well as to the wider framework of generalised linear models (PLS generalised regression). Then, it will be shown how the PLS principle allows to develop a distribution-free approach to path modeling as an alternative to the maximum likelihood based LISREL for the study of causal relationships. Comparisons between LISREL and PLS path modeling will be shown with respect to their objectives, statistical properties and performances. Examples on real data will provide insights on the interpretation rules of the proposed methods.


Friday, April 26, 2002
Science and Technology Building I, Room 206
Seminar at 10:45 a.m.
Refreshments at 10:30 a.m.
For the 2002 Spring Seminar Schedule, go to
www.science.gmu.edu/statseminars