Scale Reliability Evaluation for a-priori Clustered Data

Gabriele Cantaluppi, Giuseppe Boari, Marta Nai Ruscone

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.
Original languageEnglish
Title of host publicationAnalysis and Modeling of Complex Data in Behavioural and Social Sciences. Book of Short Paper
Pages1-4
Number of pages4
Publication statusPublished - 2012
EventJCS-Cladag 2012. Joint Meeting of the Japanise Classification Society and the Italian Classification and Data Analyis Group - Anacapri
Duration: 3 Sep 20124 Sep 2012

Conference

ConferenceJCS-Cladag 2012. Joint Meeting of the Japanise Classification Society and the Italian Classification and Data Analyis Group
CityAnacapri
Period3/9/124/9/12

Keywords

  • measurement theory
  • reliability analysis

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