Quotation Mair, Patrick, de Leeuw, Jan, Bentler, P.M.. 2010. An alternating estimation approach to combine optimal scaling and SEM.. Joint Statistical Meeting (JSM), Vancouver, Kanada, 31.07.-05.08..




In areas such as the social sciences, data are commonly available on an ordinal or nominal scale level. If the method of analysis is structural equation modeling (SEM), researchers typically use polychoric correlations that assume underlying normality. We present an approach that avoids the use of polychoric correlations. It uses the technique of optimal scaling which rescales the values of (categorical) variables in an optimal way with respect to their scale levels. The SEM parameter estimation and the optimal scaling transformations are carried out in an alternating way: We start with a correlation matrix and fit a correlation structure model using the multinormal log-likelihood to find the structural parameters. Then we optimize the transformations using a so-called aspect function. Afterwards we fit a correlation structure model on the new correlation matrix, and so on.


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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Paper presented at an academic conference or symposium
Language English
Title An alternating estimation approach to combine optimal scaling and SEM.
Event Joint Statistical Meeting (JSM)
Year 2010
Date 31.07.-05.08.
Country Canada
Location Vancouver
URL http://www.amstat.org/meetings/jsm/2010/onlineprogram/index.cfm?fuseaction=abstract_details&abstractid=308116


Mair, Patrick (Former researcher)
Bentler, P.M.
de Leeuw, Jan
Institute for Statistics and Mathematics IN (Details)
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