Please use this identifier to cite or link to this item: http://arl.liuc.it/dspace/handle/2468/5204
Title: Scale reliability evaluation for a-priori clustered data
Authors: Boari, Giuseppe
Cantaluppi, Gabriele
Nai Ruscone, Marta
Issue Date: 2012
Publisher: Cleup
Bibliographic citation: Boari Giuseppe, Cantaluppi Gabriele, Nai Ruscone Marta (2012), Scale reliability evaluation for a-priori clustered data. In: Okada Akinori, Vicari Donatella, Ragozini Giancarlo, eds., Analysis and modeling of complex data in behavioural and social sciences. Book of short paper. JCS – CLADAG 12: Villa Orlandi - Anacapri, Italy, September 3-4, 2012. Padova: Cleup, p. 1-4. ISBN 978-88-6129-916-0.
Abstract: According to the classical measurement theory, the reliability of the relationship between a latent variable describing a true measure and its corresponding manifest proxies can be assessed through the Cronbach’s alpha index. The Cronbach’s alpha index can be used for parallel measures and represents a lower bound for the reliability value in presence of congeneric measures, for which the assessment can properly be made only ex post, after having estimated the loading coefficients, e.g. by means of a structural equation model with latent variables (SEM-LV). Let us assume the existence of an a-priori segmentation, based upon a categorical variable Z. We want to test the reliability of the construct over all the groups. This corresponds to the null joint hypothesis that the loadings are equal within each group as well as they do not vary among groups. Otherwise different measurement models need to be defined over groups. A test for measuring group differences in reliability is presented in Raykov (2002), basing on differences of loading estimates in a SEM-LV framework. We consider a formulation of the Cronbach’s a coefficient according to the decomposition of pairwise covariances in a clustered framework.
URI: http://arl.liuc.it/dspace/handle/2468/5204
Journal/Book: Analysis and modeling of complex data in behavioural and social sciences. Book of short paper
ISBN: 978-88-6129-916-0
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