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, once the loading coefficients have been estimated
, 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 , basing on differences of loading estimates in a SEM-LV framework.
We consider a formulation of the Cronbach’s Alpha coefficient according to the
decomposition of pairwise covariances in a clustered framework.
|Titolo della pubblicazione ospite
|Analysis and Modeling of Complex Data in Behavioral and Social Sciences
|D. Vicari, A. Okada, G. Ragozini, C. Weihs
|Numero di pagine
|Stato di pubblicazione
|Pubblicato - 2014
|STUDIES IN CLASSIFICATION, DATA ANALYSIS, AND KNOWLEDGE ORGANIZATION
- Cronbach’s Alpha
- Multigroup Reliability