Scaling the variance of a latent variable while assuring constancy of the model

  • This paper investigates how the major outcome of a confirmatory factor investigation is preserved when scaling the variance of a latent variable by the various scaling methods. A constancy framework, based upon the underlying factor analysis formula that enables scaling by modifying components through scalar multiplication, is described; a proof is included to demonstrate the constancy property of the framework. It provides the basis for a scaling method that enables the comparison of the contribution of different latent variables of the same confirmatory factor model to observed scores, as for example, the contributions of trait and method latent variables. Furthermore, it is shown that available scaling methods are in line with this constancy framework and that the criterion number included in some scaling methods enables modifications. The impact of the number of manifest variables on the scaled variance parameter can be modified and the range of possible values. It enables the adaptation of scaling methods to the requirements of the field of application.

Download full text files

Export metadata

Author:Karl Schweizer, Stefan Troche, Christine DiStefano
Pubmed Id:
Parent Title (English):Frontiers in psychology
Publisher:Frontiers Research Foundation
Place of publication:Lausanne
Contributor(s):Qiwei He
Document Type:Article
Year of Completion:2019
Date of first Publication:2019/04/24
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2019/05/20
Tag:confirmatory factor analysis; constancy framework; scaling; scaling methods; structural equation modeling; variance of latent variable; variance parameter
Issue:Art. 887
Page Number:10
First Page:1
Last Page:10
Copyright © 2019 Schweizer, Troche and DiStefano. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Institutes:Psychologie und Sportwissenschaften / Psychologie
Dewey Decimal Classification:1 Philosophie und Psychologie / 15 Psychologie / 150 Psychologie
Open-Access-Publikationsfonds:Psychologie und Sportwissenschaften
Licence (German):License LogoCreative Commons - Namensnennung 4.0