References
- Asparouhov, T., & Muthén, B. (2009). Exploratory structural equation modeling. Structural Equation Modeling, 16(3), 397–438. https://doi.org/https://doi.org/10.1080/10705510903008204
- Bentler, P. M., & Bonett, D. G. (1980). Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88(3), 588–606. https://doi.org/https://doi.org/10.1037/0033-2909.88.3.588
- Browne, M. W. (2001). An overview of analytic rotation in exploratory factor analysis. Multivariate Behavioral Research, 36(1), 111–150. https://doi.org/https://doi.org/10.1207/S15327906MBR3601_05
- Byrne, B. M., Shavelson, R. J., & Muthén, B. (1989). Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105(3), 456–466. https://doi.org/https://doi.org/10.1037/0033-2909.105.3.456
- Carpenter, L. C., Tompkins, S. A., Schmiege, S. J., Nilsson, R., & Bryan, A. (2010). Affective response to physical activity: Testing for measurement invariance of the physical activity affect scale across active and non-active individuals. Measurement in Physical Education and Exercise Science, 14(1), 1–14. https://doi.org/https://doi.org/10.1080/10913670903454952
- Chen, F. F. (2007). Sensitivity of goodness of fit indexes to lack of measurement invariance. Structural Equation Modeling, 14(3), 464–504. https://doi.org/https://doi.org/10.1080/10705510701301834
- Cheung, G. W., & Rensvold, R. G. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9(2), 233–255. https://doi.org/https://doi.org/10.1207/S15328007SEM0902_5
- Crocker, P. R. E., Pedrosa, I., Mosewich, A. D., & Sabiston, C. M. (2018). Examining gender invariance of the sport-multidimensional perfectionism scale-2 in intercollegiate athletes. Psychology of Sport and Exercise, 24, 57–60. https://doi.org/https://doi.org/10.1016/j.psychsport.2017.09.005
- French, B. F., & Finch, W. H. (2008). Multigroup confirmatory factor analysis: Locating the invariant referent sets. Structural Equation Modeling, 15(1), 96–113. https://doi.org/https://doi.org/10.1080/10705510701758349
- Garn, A. C., & Webster, E. K. (2018). Reexamining the factor structure of the test of gross motor development – Second edition: Application of exploratory structural equation modeling. Measurement in Physical Education and Exercise Science, 22(3), 200–212. https://doi.org/https://doi.org/10.1080/1091367X.2017.1413373
- Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6(1), 1–55. https://doi.org/https://doi.org/10.1080/03004430903387461
- Jöreskog, K. G. (1971). Simultaneous factor analysis in several populations. Psychometricka, 36(4), 409–426. https://doi.org/https://doi.org/10.1007/BF02291366
- Jung, E., & Yoon, M. (2016). Comparisons of three empirical methods for partial factorial invariance: Forward, backward, and factor-ratio tests. Structural Equation Modeling, 23(4), 567–584. https://doi.org/https://doi.org/10.1080/10705511.2015.1138092
- Kline, R. B. (2016). Principles and practice of structural equation modeling. Guilford Press.
- Lee, S., McMahon, A., Prilleltensky, I., Myers, N. D., Dietz, S., Prilleltensky, O., Pfeiffer, K. A., Bateman, A. G., & Brincks, A. M. (2021). Effectiveness of the fun for wellness online behavioral intervention to promote well-being actions in adults with obesity: A randomized controlled trial. Journal of Sport & Exercise Psychology, 43(1), 83–96. https://doi.org/https://doi.org/10.1123/jsep.2020-0049
- Lord, F. M. (1980). Applications of item response theory to practical testing problems. Erlbaum.
- Marsh, H. W. (2007). Application of confirmatory factor analysis and structural equation modeling in sport/exercise psychology. In G. Tenenbaum & R.C. Eklund (Eds.). In Handbook of sport psychology (3rd ed ed., pp. 774–798). Wiley.
- Marsh, H. W., Muthén, B., Asparouhov., T., Lüdtke, O., Robitzsch, A., Morin, A. J. S., & Trautwein, U. (2009). Exploratory structural equation modeling, integrating CFA and EFA: Application to students’ evaluations of university teaching. Structural Equation Modeling: A Multidisciplinary Journal, 16(3), 439–476. https://doi.org/https://doi.org/10/1080/10705510903008220
- Meredith, W. (1964). Notes on factorial invariance. Psychometricka, 29(2), 177–185. https://doi.org/https://doi.org/10.1007/BF02289699
- Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance. Psychometrika, 58(4), 525–543. https://doi.org/https://doi.org/10.1007/BF02294825
- Millsap, R. E. (2009). When trivial constraints are not trivial: The choice of uniqueness constraints in confirmatory factor analysis. Structural Equation Modeling, 8(1), 1–17. https://doi.org/https://doi.org/10.1207/S15328007SEM0801_1
- Morin, A. J. S., Marsh, H. W., & Nagengast, B. (2013). Exploratory structural equation modeling. In G. R. Hancock & R. O. Mueller (Eds.), Structural equation modeling: A second course (pp. 395–436). Information Age Publishing.
- Mullen, S. P., Olson, E. A., Phillips, S. M., Szabo, A., Wójcicki, T. R., Mailey, E. L., Gothe, N. P., Fanning, J. T., Kramer, A. F., & McAuley, E. (2011). Measuring enjoyment of physical activity in older adults: Invariance of the physical activity enjoyment scale (paces) across groups and time. International Journal of Behavioral Nutrition and Physical Activity, 8(1), 1–9. https://doi.org/https://doi.org/10.1186/1479-5868-8-103
- Muthén, L. K., & Muthén, B. O. (1998–2017). Mplus user’s guide (8th edition ed.). Muthén & Muthén.
- Myers, N. D., Bateman, A., Lee, S., & Silverman, S. (2020). Measurement in physical education and exercise science (MPEES): A brief report on 2019. Measurement in Physical Education and Exercise Science, 24(2), 93–102. https://doi.org/https://doi.org/10.1080/1091367X.2020.1739690
- Myers, N. D., McMahon, A., Prilleltensky, I., Lee, S., Dietz, S., Prilleltensky, O., … Brincks, A. M. (2020). Effectiveness of the fun for wellness online behavioral intervention to promote physical activity in adults with obesity: A randomized controlled trial. Journal of Medical Internet Research Formative Research, 4(2), e15919. https://doi.org/https://doi.org/10.2196/15919
- Myers, N. D., Prilleltensky, I., Lee, S., Dietz, S., Prilleltensky, O., McMahon, A., Pfeiffer, A., Ellithorpe, M. E., & Brincks, A. M. (2019). Effectiveness of the fun for wellness online behavioral intervention to promote well-being and physical activity: Protocol for a randomized controlled trial. BMC Public Health, 19(1), 737. https://doi.org/https://doi.org/10.1186/s12889-019-7089-2
- Myers, N. D., Prilleltensky, I., McMahon, A., Lee, S., Dietz, S., Prilleltensky, O., Pfeiffer, K. A., Bateman, A. G., & Brincks, A. M. (2021). Effectiveness of the fun for wellness online behavioral intervention to promote subjective well-being in adults with obesity: A randomized controlled trial. Journal of Happiness Studies, 22(4), 1905–1923. https://doi.org/https://doi.org/10.1007/s10902-020-00301-0
- Prilleltensky, I., Dietz, S., Prilleltensky, O., Myers, N. D., Rubenstein, C. L., Jin, Y., & McMahon, A. (2015). Assessing multidimensional well-being: Development and validation of the I COPPE Scale. Journal of Community Psychology, 43(2), 199–226. https://doi.org/https://doi.org/10.1002/jcop.21674
- Putnick, D. L., & Bornstein, M. H. (2016). Measurement invariance conventions and reporting: The state of the art and future directions for psychological research. Developmental Review, 41, 71–90. https://doi.org/https://doi.org/10.1016/j.dr.2016.06.004
- Raju, N. S., Laffitte, L. J., & Byrne, B. M. (2002). Measurement equivalence: A comparison of methods based on confirmatory factor analysis and item response theory. Journal of Applied Psychology, 87(3), 517–529. https://doi.org/https://doi.org/10.1037//0021-9010.87.3.517
- Reise, S. P., Widaman, K. F., & Pugh, R. H. (1993). Confirmatory factor analysis and item response theory: Two approaches for exploring measurement invariance. Psychological Bulletin, 11(3), 552–566. https://doi.org/https://doi.org/10.1037/0033-2909.114.3.552
- Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3(1), 4–70. https://doi.org/https://doi.org/10.1177/109442810031002
- Werts, C. E., Rock, D. A., Linn, R. L., & Jöreskog, K. G. (1976). Comparison of correlations, variances, covariances, and regression weights with or without measurement error. Psychological Bulletin, 83(6), 1007–1013. https://doi.org/https://doi.org/10.1037/0033-2909.83.6.1007
- Widaman, K. F., & Reise, S. P. (1997). Exploring the measurement invariance of psychological instruments: Applications in the substance use domain. In K. J. Bryant, M. Windle, & S. G. West (Eds.), The science of prevention: Methodological advances from alcohol and substance abuse research (pp. 281–324). American Psychological Association. https://doi.org/https://doi.org/10.1037/10222-009
- Yoon, M., & Millsap, R. E. (2007). Detecting violations of factorial invariance using data-based specification searchers: A monte carlo study. Structural Equation Modeling, 14(3), 435–463. https://doi.org/https://doi.org/10.1080/10705510701301677
- Yuan, K.-H., & Bentler, P. M. (2004). On chi-square difference and z tests in mean and covariance structure analysis when the base model is misspecified. Educational and Psychological Measurement, 64(5), 737–757. https://doi.org/https://doi.org/10.1177/0013164404264853