Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models

Multitrait-multimethod (MTMM) analysis is one of the most frequently employed methods to examine the validity of psychological measures. Confirmatory factor analysis (CFA) is a commonly used analytic tool for examining MTMM data through the specification of trait and method latent variables. Most co...

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Main Authors: Fred A. Hintz, Christian Geiser, G. Leonard Burns, Mateu Servera
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-03-01
Series:Frontiers in Psychology
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fpsyg.2019.00353/full
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author Fred A. Hintz
Christian Geiser
G. Leonard Burns
Mateu Servera
author_facet Fred A. Hintz
Christian Geiser
G. Leonard Burns
Mateu Servera
author_sort Fred A. Hintz
collection DOAJ
description Multitrait-multimethod (MTMM) analysis is one of the most frequently employed methods to examine the validity of psychological measures. Confirmatory factor analysis (CFA) is a commonly used analytic tool for examining MTMM data through the specification of trait and method latent variables. Most contemporary CFA-MTMM models either do not allow estimating correlations between the trait and method factors or they are restricted to linear trait-method relationships. There is no theoretical reason why trait and method relationships should always be linear, and quadratic relationships are frequently proposed in the social sciences. In this article, we present two approaches for examining quadratic relations between traits and methods through extended latent difference and latent means CFA-MTMM models (Pohl et al., 2008; Pohl and Steyer, 2010). An application of the new approaches to a multi-rater study of the nine inattention symptoms of attention-deficit/hyperactivity disorder in children (N = 752) and the results of a Monte Carlo study to test the applicability of the models under a variety of data conditions are described.
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spelling doaj.art-363937a7e1c44864a65bd1d5fdc356252022-12-21T18:54:32ZengFrontiers Media S.A.Frontiers in Psychology1664-10782019-03-011010.3389/fpsyg.2019.00353389755Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod ModelsFred A. Hintz0Christian Geiser1G. Leonard Burns2Mateu Servera3Department of Psychology, Utah State University, Logan, UT, United StatesDepartment of Psychology, Utah State University, Logan, UT, United StatesDepartment of Psychology, Washington State University, Pullman, WA, United StatesDepartment of Psychology, University of the Balearic Islands, Palma, SpainMultitrait-multimethod (MTMM) analysis is one of the most frequently employed methods to examine the validity of psychological measures. Confirmatory factor analysis (CFA) is a commonly used analytic tool for examining MTMM data through the specification of trait and method latent variables. Most contemporary CFA-MTMM models either do not allow estimating correlations between the trait and method factors or they are restricted to linear trait-method relationships. There is no theoretical reason why trait and method relationships should always be linear, and quadratic relationships are frequently proposed in the social sciences. In this article, we present two approaches for examining quadratic relations between traits and methods through extended latent difference and latent means CFA-MTMM models (Pohl et al., 2008; Pohl and Steyer, 2010). An application of the new approaches to a multi-rater study of the nine inattention symptoms of attention-deficit/hyperactivity disorder in children (N = 752) and the results of a Monte Carlo study to test the applicability of the models under a variety of data conditions are described.https://www.frontiersin.org/article/10.3389/fpsyg.2019.00353/fullstructural equation modelingmultiple ratermultitrait-multimethod (MTMM) analysislatent moderated structural equationslatent difference modellatent means model
spellingShingle Fred A. Hintz
Christian Geiser
G. Leonard Burns
Mateu Servera
Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
Frontiers in Psychology
structural equation modeling
multiple rater
multitrait-multimethod (MTMM) analysis
latent moderated structural equations
latent difference model
latent means model
title Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
title_full Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
title_fullStr Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
title_full_unstemmed Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
title_short Examining Quadratic Relationships Between Traits and Methods in Two Multitrait-Multimethod Models
title_sort examining quadratic relationships between traits and methods in two multitrait multimethod models
topic structural equation modeling
multiple rater
multitrait-multimethod (MTMM) analysis
latent moderated structural equations
latent difference model
latent means model
url https://www.frontiersin.org/article/10.3389/fpsyg.2019.00353/full
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