Axiomatic Foundations of a Three-Set Guttman Simplex Model with Applicability to Longitudinal Data

Publisher Website
Google Scholar
Abstract
In this paper the usual two-set Guttman simplex model is extended to three sets. The axiomatic foundations of this extention are presented. Two cases are discussed. In Case 1 there is a three-set joint order, while in Case 2 there is a two-set joint order consistent across all levels of the third set. Case 2 represents the first clear formulation of a longitudinal developmental scale. The model is discussed in terms of its most straightforward application, longitudinal developmental data, and in terms of other possible applications.

This publication has 3 references indexed in Scilit: