Application of Confirmatory Factor Analysis and Structural Equation Modeling in Sport and Exercise Psychology
Published 19 January 2007
Herbert W. Marsh
Citations381
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
This chapter contains sections titled: Construct Validation: A Multiple Perspective Approach Data and Estimation Model Evaluation and Goodness of Fit Substantive Applications of Confirmatory Factor Analysis and Structural Equation Modeling Conclusion
Keywords
PsychologyDecision Sciences
Structural Equation Modeling A Multidisciplinary JournalCutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives
105,395 Citations1999Li‐tze Hu, Peter M. Bentler
Psychological BulletinComparative fit indexes in structural models.
23,911 Citations1990Peter M. Bentler
A new coefficient is proposed to summarize the relative reduction in the noncentrality parameters of two nested models and two estimators of the coefficient yield new normed (CFI) and nonnormed (FI) fit indexes.
Psychological BulletinConvergent and discriminant validation by the multitrait-multimethod matrix.
17,061 Citations1959Donald T. Campbell, Donald W. Fiske
This transmutability of the validation matrix argues for the comparisons within the heteromethod block as the most generally relevant validation data, and illustrates the potential interchangeability of trait and method components.
Psychological MethodsFit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification.
11,435 Citations1998Li‐tze Hu, Peter M. Bentler
Psychological MethodsPower analysis and determination of sample size for covariance structure modeling.
9,775 Citations1996Robert C. MacCallum, Michael W. Browne +1 more
Psychological MethodsA comparison of methods to test mediation and other intervening variable effects.
9,145 Citations2002David P. MacKinnon, Chondra M. Lockwood +3 more
A Monte Carlo study compared 14 methods to test the statistical significance of the intervening variable effect and found two methods based on the distribution of the product and 2 difference-in-coefficients methods have the most accurate Type I error rates and greatest statistical power.
PsychometrikaA Reliability Coefficient for Maximum Likelihood Factor Analysis
7,328 Citations1973Ledyard R Tucker, Charles Lewis
Journal of the Royal Statistical Society Series D (The Statistician)Structural Equation Modeling: Concepts, Issues, and Applications.
6,867 Citations1996Murray Smith, Rick H. Hoyle
Structural Equation Modeling A Multidisciplinary JournalIn Search of Golden Rules: Comment on Hypothesis-Testing Approaches to Setting Cutoff Values for Fit Indexes and Dangers in Overgeneralizing Hu and Bentler's (1999) Findings
6,453 Citations2004Herbert W. Marsh, Kit‐Tai Hau +1 more
Psychological MethodsSample size in factor analysis.
4,816 Citations1999Robert C. MacCallum, Keith F. Widaman +2 more
Psychological MethodsPrinciples and practice in reporting structural equation analyses.
4,496 Citations2002Roderick P. McDonald, Moon‐Ho Ringo Ho
Principles for reporting analyses using structural equation modeling are reviewed, and it is recommended that every report give a detailed justification of the model used, along with plausible alternatives and an account of identifiability.
Journal of the American Statistical AssociationMeasurement, Design, and Analysis: An Integrated Approach.
4,066 Citations1992Sandra G. Funk, Elazar J. Pedhazur +1 more
Review of Educational ResearchSelf-Concept: Validation of Construct Interpretations
3,926 Citations1976Richard J. Shavelson, Judith J. Hubner +1 more
Structural Equation Modeling With Lisrel, Prelis, and Simplis: Basic Concepts, Applications, and Programming
3,874 Citations1998Barbara M. Byrne
This paper presents a meta-modelling framework for testing the factorial Validity of a Theoretical Construct and the Invariant Factorial Structure of a theoretical construct using LISREL, PRELIS, and SIMPLIS through Windows.
Psychological BulletinTesting for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance.
3,687 Citations1989Barbara M. Byrne, Richard J. Shavelson +1 more
Psychological MethodsA comparison of inclusive and restrictive strategies in modern missing data procedures.
2,337 Citations2001Linda M. Collins, Joseph L. Schafer +1 more
A simulation was presented to assess the potential costs and benefits of a restrictive strategy, which makes minimal use of auxiliary variables, versus an inclusive strategy,Which shows that the inclusive strategy is to be greatly preferred.
University of Maribor digital library (University of Maribor)Structural Equation Modeling: Foundations and Extensions
1,835 Citations2000David E. Kaplan
British Journal of Mathematical and Statistical PsychologyA comparison of some methodologies for the factor analysis of non‐normal Likert variables
1,775 Citations1985Bengt Muthén, David M. Kaplan
Psychological BulletinChoosing a multivariate model: Noncentrality and goodness of fit.
1,379 Citations1990Roderick P. McDonald, Herbert W. Marsh
Psychological BulletinCan test statistics in covariance structure analysis be trusted?
1,360 Citations1992Li‐tze Hu, Peter M. Bentler +1 more
Covariance structure analysis uses chi 2 goodness-of-fit test statistics whose adequacy is not known to evaluate the behavior of 6 test statistics, which perform dramatically differently under 7 distributional conditions at 6 sample sizes.
Perspectives on Psychological ScienceReciprocal Effects of Self-Concept and Performance From a Multidimensional Perspective: Beyond Seductive Pleasure and Unidimensional Perspectives
1,322 Citations2006Herbert W. Marsh, Rhonda Craven
It is concluded that future reviews elucidating the significant implications of self-concept for theory, policy, and practice need to account for current research supporting the reciprocal-effects model (REM) and a multidimensional perspective ofSelf-concept.
Educational PsychologistThe Relation Between Self-Beliefs and Academic Achievement: A Meta-Analytic Review
1,298 Citations2004Jeffrey C. Valentine, David L. DuBois +1 more
Multivariate Behavioral ResearchIs More Ever Too Much? The Number of Indicators per Factor in Confirmatory Factor Analysis
1,256 Citations1998Herbert W. Marsh, Kit‐Tai Hau +2 more
Traditional "rules" implying fewer indicators should be used for smaller N may be inappropriate and researchers should consider using more indicators per factor that is evident in current practice, according to conditions in the authors' simulation study.
Psychological MethodsStructural Equation Models of Latent Interactions: Evaluation of Alternative Estimation Strategies and Indicator Construction.
1,134 Citations2004Herbert W. Marsh, Zhonglin Wen +1 more
The traditional constrained approach performed more poorly than did 3 new approaches--unconstrained, generalized appended product indicator, and quasi-maximum-likelihood (QML); the authors' new unconstrained approach was easiest to apply.
Journal of Sport and Exercise PsychologyThe Physical Self-Perception Profile: Devlopment and Preliminary Validation
1,132 Citations1989Kenneth R Fox, Charles B. Corbin
The purpose of this study was to develop an instrument that would permit the application of recent advances in self-esteem theory to the study of self-perception in the physical domain, and four subdomain subscales designed to assess perceived bodily attractiveness, sports competence, physical strength, and physical conditioning were constructed.
Review of Educational ResearchMissing Data in Educational Research: A Review of Reporting Practices and Suggestions for Improvement
1,124 Citations2004James Peugh, Craig K. Enders
The results indicated that explicit discussions of missing data increased substantially between 1999 and 2003, but the use of maximum likelihood estimation or multiple imputation was rare; the studies relied almost exclusively on listwise and pairwise deletion.
Applied Psychological MeasurementHierarchically Nested Covariance Structure Models for Multitrait-Multimethod Data
1,048 Citations1985Keith F. Widaman
Journal of Operations ManagementUse of structural equation modeling in operations management research: Looking back and forward
974 Citations2005Rachna Shah, Susan Meyer Goldstein
It is found that while SEM is a valuable tool for testing and advancing OM theory, OM researchers need to pay greater attention to these highlighted issues to take full advantage of its potential.
Multivariate Behavioral ResearchCross-Validation Of Covariance Structures
850 Citations1983Robert Cudeck, Michael W. Browne
This paper examines methods for comparing the suitability of alternative models for covariance matrices using longitudinal data and a cross-validation procedure is suggested and its properties are examined.
Structural Equation Modeling A Multidisciplinary JournalEffects of estimation methods, number of indicators per factor, and improper solutions on structural equation modeling fit indices
792 Citations1995Lin Ding, Wayne F. Velicer +1 more
Journal of Educational MeasurementSELF DESCRIPTION QUESTIONNAIRE III: THE CONSTRUCT VALIDITY OF MULTIDIMENSIONAL SELF‐CONCEPT RATINGS BY LATE ADOLESCENTS
680 Citations1984Herbert W. Marsh, Rosalie O'neill
The Journal of Experimental EducationAssessing Goodness of Fit
677 Citations1996Herbert W. Marsh, Kit‐Tai Hau
Structural Equation Modeling A Multidisciplinary JournalReporting Analyses of Covariance Structures
646 Citations2000Anne Boomsma
Journal of Sport and Exercise PsychologyPhysical Self-Description Questionnaire: Psychometric Properties and a Miiltitrait-Meltimethod Analysis of Relations to Existing Instruments
636 Citations1994Herbert W. Marsh, Garry E. Richards +3 more
Comparisons of psychometric, theoretical, and pragmatic considerations of the three instruments led to the recommendation of the PSDQ in a wide range of contexts.
International Journal of TestingOECD's Brief Self-Report Measure of Educational Psychology's Most Useful Affective Constructs: Cross-Cultural, Psychometric Comparisons Across 25 Countries
565 Citations2006Herbert W. Marsh, Kit‐Tai Hau +3 more
Contemporary psychometrics : a festschrift for Roderick P. McDonald
511 Citations2005Alberto Maydeu‐Olivares, John J. McArdle
Applied Psychological MeasurementConfirmatory Factor Analyses of Multitrait-Multimethod Data: Many Problems and a Few Solutions
510 Citations1989Herbert W. Marsh
Journal of Educational PsychologyCausal ordering of academic self-concept and academic achievement: A multiwave, longitudinal panel analysis.
473 Citations1990Herbert W. Marsh
British Journal of Mathematical and Statistical PsychologyThe use of item parcels in structural equation modelling: Non‐normal data and small sample sizes
463 Citations2004Kit‐Tai Hau, Herbert W. Marsh
This work systematically varied the degree of non-normality; the sample size from 50 to 1000; the way of indicator formation; the parcelling strategy; the estimation procedure; the convergence behaviour of solutions; as well as the systematic bias and variability of parameter estimates, and goodness of fit.
American PsychologistCross-cultural psychology as a scholarly discipline: On the flowering of culture in behavioral research.
439 Citations1998Marshall H. Segall, Walter J. Lonner +1 more
Journal of Educational PsychologySelf-concept of ability and perceived evaluation of others: Cause or effect of academic achievement?
351 Citations1977Robert J. Calsyn, David A. Kenny
Educational PsychologistCausal ordering of academic self-concept and achievement: Reanalysis of a pioneering study and...
337 Citations1999Herbert W. Marsh, Barbara M. Byrne +1 more
Psychological AssessmentA Short Version of the Self Description Questionnaire II: Operationalizing Criteria for Short-Form Evaluation With New Applications of Confirmatory Factor Analyses.
319 Citations2005Herbert W. Marsh, Louise A. Ellis +3 more
Four studies evaluate the new Self Description Questionnaire II short-form (SDQII-S) that measures 11 dimensions of adolescent self-concept based on responses to 51 of the original 102 SDQII items and demonstrate new statistical strategies to operationalize guidelines for short- form evaluation.
Journal of Educational PsychologyThe relationship among self-concept, self-efficacy, and performance in mathematics during secondary school.
294 Citations2003James Pietsch, Richard L. Walker +1 more
Psychological BulletinRepresenting sources of error in the common-factor model: Implications for theory and practice.
225 Citations1991Robert C. MacCallum, Ledyard R Tucker
An alternative representation of the common-factor model that incorporates a «lack-of-fit» term into the initial equation for the measured variables is proposed, and subsequent derivation of the covariance form of the model in the population and the sample yields a framework for differentiation of various sources of error that arise in applications of themodel.
Journal of Sport and Exercise PsychologyCompetitive and Cooperative Physical Fitness Training Programs for Girls: Effects on Physical Fitness and Multidimensional Self-Concepts
210 Citations1988Herbert W. Marsh, Naida D Peart
Multivariate Behavioral ResearchEvaluation of the Big-Two-Factor Theory of Academic Motivation Orientations: An Evaluation of Jingle-Jangle Fallacies
202 Citations2003Herbert W. Marsh, Rhonda Craven +2 more
Journal of Educational PsychologyWhy Multicollinearity Matters: A Reexamination of Relations Between Self-Efficacy, Self-Concept, and Achievement.
181 Citations2004Herbert W. Marsh, Martin Dowson +2 more
Organizational Research MethodsThe Effects of Model Parsimony and Sampling Error on the Fit of Structural Equation Models
154 Citations2001Gordon W. Cheung, Roger B. Rensvold
A simulation was conducted to examine the effects of parsimony error on perfect measurement models and to establish appropriate criteria for model fit when Parsimony error is present.
Journal of Sport and Exercise PsychologySport Motivation Orientations: Beware of Jingle-Jangle Fallacies
150 Citations1994Herbert W. Marsh
Research Quarterly for Exercise and SportPhysical Self Description Questionnaire: Stability and Discriminant Validity
139 Citations1996Herbert W. Marsh
The data were used to demonstrate the application of confirmatory factor-analysis models of multitrait-multimethod (MTMM) data (with occasions as the multiple methods), which supported the discriminant validity of the PSDQ scales.
Research Quarterly for Exercise and SportThe Multidimensional Structure of Physical Fitness: Invariance over Gender and Age
136 Citations1993Herbert W. Marsh
This investigation extends the factor analytic approach pioneered by Fleishman (1964) by incorporating subsequent developments in the application of confirmatory factor analysis and the physical fitness literature, and indicates that the multidimensional structure of physical fitness generalizes over gender and age.
Health PsychologyCausal ordering of physical self-concept and exercise behavior: Reciprocal effects model and the influence of physical education teachers.
123 Citations2006Herbert W. Marsh, Αθανάσιος Παπαϊωάννου +1 more
Findings support a reciprocal effects model in which prior physical self-concept and exercise behavior both influence subsequent physical Self- Concept and Exercise behavior.
Journal of Sport and Exercise PsychologyThe Relationship of Competitiveness and Achievement Orientation to Participation in Sport and Nonsport Activities
105 Citations1988Diane L. Gill, David A. Dzewaltowski +1 more
Journal of Sport and Exercise PsychologySelf-Concept Contributes to Winning Gold Medals: Causal Ordering of Self-Concept and Elite Swimming Performance
98 Citations2005Herbert W. Marsh, Clark Perry
Structural Equation Modeling A Multidisciplinary JournalLongitudinal stability of latent means and individual differences: A unified approach
92 Citations1994Herbert W. Marsh, David Grayson
Journal of Sports SciencesSelf-belief does make a difference: A reciprocal effects model of the causal ordering of physical self-concept and gymnastics performance
86 Citations2005Herbert W. Marsh, Julien Chanal +1 more
Evaluating the generalizability of support for the reciprocal effects model to a physical activity context in which achievement is reflected in gymnastics skills on a standardized gymnastics performance test evaluated by expert judges indicates that self-concept and performance are both determinants and consequences of each other.
Research Quarterly for Exercise and SportCross-Cultural Validity of the Physical Self-Description Questionnaire: Comparison of Factor Structures in Australia, Spain, and Turkey
84 Citations2002Herbert W. Marsh, Inés Tomás +1 more
Psychometric, theoretical, cross-cultural, and practical considerations support the PSDQ's usefulness in a variety of research and applied settings and provides a model for comparing psychometric properties based on responses to original and translated versions of sport psychology measures.
Journal of Sport and Exercise PsychologyMultitrait-Multimethod Analyses of Two Physical Self-Concept Instruments: A Cross-Cultural Perspective
82 Citations2002Herbert W. Marsh, F. Hülya Aşçı +1 more
Cross-cultural support for convergent and discriminant validity of the Physical Self-Description Questionnaire (PSDQ) is demonstrated in a multitrait-multimethod analysis of relations with responses to the Physicalself-Perception Profile (PSPP).
Multivariate Behavioral ResearchOn Structural Equation Model Equivalence
67 Citations1999Tenko Raykov, Spiridon Penev
A necessary and sufficient condition for equivalence of structural equation models is presented and its application for studying model equivalence or lack thereof is demonstrated on a series of empirical examples.
Psychological MethodsWhen constraints interact: A caution about reference variables, identification constraints, and scale dependencies in structural equation modeling.
66 Citations2002James H. Steiger
The philosophy behind constraints on latent variable variances is examined and it is shown how their appropriate use is neither as straightforward nor as noncontroversial as portrayed in textbooks and computer manuals.
Australian Journal of PsychologyDo we see ourselves as others infer: A comparison of self-other agreement on multiple dimensions of self-concept from two continents
50 Citations1993Herbert W. Marsh, Barbara M. Byrne
Structural Equation Modeling A Multidisciplinary JournalSewall wright on the method of path coefficients: An annotated bibliography
29 Citations1999Lee M. Wolfle
This annotated bibliography covers Sewall Wright's development of the method of path coefficients and its application to linear causal models.
Journal of Educational PsychologyOrganization of children's academic self-perceptions: Reanalysis and counter-interpretations of confirmatory factor analysis results.
16 Citations1997Herbert W. Marsh, Alexander Seeshing Yeung
