期刊名称：Electronic Journal of Applied Statistical Analysis
电子版ISSN：2070-5948
出版年度：2012
卷号：5
期号：3
页码：320-326
DOI：10.1285/i20705948v5n3p320
语种：English
出版社：University of Salento
摘要：The social and economic research often focuses on the construction of composite indicators for unobservable (or latent) variables using data from a questionnaire with Likert-type scales. Within the variety of procedures, we focus on the data analysis technique of Principal Components Analysis, in its Linear and NonLinear versions. This paper shows that when the variables are parallel measurements of the same latent unobservable variable, Linear and NonLinear Principal Components Analyses practically lead to the same composite indicators.
关键词：Principal Components Analysis; ordinal variables; nonlinearity; latent variables; Probabilistic gauge; Monte Carlo gauge
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