Abstract #300588

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JSM 2003 Abstract #300588
Activity Number: 248
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #300588
Title: Trajectory Analysis of Partially Ordered Data in Latent Variable Models
Author(s): Hak-sing Ip*+ and Michel Meulders and Paul De Boeck
Companies: University of Southern California and KULeuven and KULeuven
Address: School of Business Adminstration, Los Angeles, CA, 90089-1421,
Keywords: item response ; finite lattice ; generalized loglinear models ; emotion ; psychological test ; componential analysis
Abstract:

A general framework is presented for the analysis of partially ordered set (poset) data. One example of POS is data that arise in educational measurement where responses can be considered to be partially correct. Another example is componential analysis in psychological surveys where responses are based on answers to multiple component-items. In the paper we show how a generalized loglinear model can be used to represent poset data with a finite lattice structure -- that is, when a minimal and a maximal category exist, and how latent variable models can be built upon the POS structure. Furthermore, we also develop a method -- the trajectory analysis -- to examine the dominance of a specific category of the POS response along the latent continuum. As an illustration, the methods are used to analyze data on the frequency and intensity of anger-related emotions. We report empirical results that can be used to support substantive theory in social and psychological studies.

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