메뉴 건너뛰기




Volumn 10, Issue 3, 2005, Pages 305-316

The role of nonlinear factor-to-indicator relationships in tests of measurement equivalence

Author keywords

Factor analysis; Invariance; Measurement; Nonlinear; Structural equation modeling

Indexed keywords

ANALYSIS OF VARIANCE; ARTICLE; HUMAN; NONLINEAR SYSTEM; PSYCHOMETRY; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS;

EID: 27344431582     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/1082-989X.10.3.305     Document Type: Article
Times cited : (34)

References (52)
  • 2
    • 0032329779 scopus 로고    scopus 로고
    • A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the Metropolis-Hastings algorithm
    • Arminger, G., & Muthén, B. (1998). A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the Metropolis-Hastings algorithm. Psychometrika, 63, 271-300.
    • (1998) Psychometrika , vol.63 , pp. 271-300
    • Arminger, G.1    Muthén, B.2
  • 5
    • 84928833187 scopus 로고
    • Observational residuals in factor analysis and structural equation models
    • Bollen, K. A., & Arminger, G. (1991). Observational residuals in factor analysis and structural equation models. Sociological Methodology, 21, 235-262.
    • (1991) Sociological Methodology , vol.21 , pp. 235-262
    • Bollen, K.A.1    Arminger, G.2
  • 6
    • 0036450169 scopus 로고    scopus 로고
    • Different kinds of DIF: A distinction between absolute and relative forms of measurement invariance and bias
    • Borsboom, D., Mellenbergh, G. J., & van Heerden, J. (2002). Different kinds of DIF: A distinction between absolute and relative forms of measurement invariance and bias. Applied Psychological Measurement, 26, 433-450.
    • (2002) Applied Psychological Measurement , vol.26 , pp. 433-450
    • Borsboom, D.1    Mellenbergh, G.J.2    Van Heerden, J.3
  • 7
    • 34147168651 scopus 로고
    • Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance
    • Byrne, B. M., Shavelson, R. J., & Muthen, B. (1989). Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105, 456-466.
    • (1989) Psychological Bulletin , vol.105 , pp. 456-466
    • Byrne, B.M.1    Shavelson, R.J.2    Muthen, B.3
  • 8
    • 0033472973 scopus 로고    scopus 로고
    • Testing factorial invariance across groups: A reconceptualization and proposed new method
    • Cheung, G. W., & Rensvold, R. B. (1999). Testing factorial invariance across groups: a reconceptualization and proposed new method. Journal of Management, 25, 1-27.
    • (1999) Journal of Management , vol.25 , pp. 1-27
    • Cheung, G.W.1    Rensvold, R.B.2
  • 9
    • 79851496916 scopus 로고    scopus 로고
    • Evaluating goodness-of-fit indexes for testing measurement invariance
    • Cheung, G. W., & Rensvold, R. B. (2002). Evaluating goodness-of-fit indexes for testing measurement invariance. Structural Equation Modeling, 9, 233-255.
    • (2002) Structural Equation Modeling , vol.9 , pp. 233-255
    • Cheung, G.W.1    Rensvold, R.B.2
  • 13
    • 0002653230 scopus 로고
    • A second generation nonlinear factor analysis
    • Etezadi-Amoli, J., & McDonald, R. P. (1983). A second generation nonlinear factor analysis. Psychometrika, 48, 315-342.
    • (1983) Psychometrika , vol.48 , pp. 315-342
    • Etezadi-Amoli, J.1    McDonald, R.P.2
  • 15
    • 0035600240 scopus 로고    scopus 로고
    • Effect size, power, and sample size determination for structured means modeling and MIMIC approaches to between-groups hypothesis testing of means on a single latent construct
    • Hancock, G. R. (2001). Effect size, power, and sample size determination for structured means modeling and MIMIC approaches to between-groups hypothesis testing of means on a single latent construct. Psychometrika, 66, 373-388.
    • (2001) Psychometrika , vol.66 , pp. 373-388
    • Hancock, G.R.1
  • 16
    • 0026481045 scopus 로고
    • A practical and theoretical guide to measurement invariance in aging research
    • Horn, J. L., & McArdle, J. J. (1992). A practical and theoretical guide to measurement invariance in aging research. Experimental Aging Research, 18, 117-144.
    • (1992) Experimental Aging Research , vol.18 , pp. 117-144
    • Horn, J.L.1    McArdle, J.J.2
  • 17
    • 0000804180 scopus 로고
    • Simultaneous factor analysis in several populations
    • Jöreskog, K. G. (1971). Simultaneous factor analysis in several populations. Psychometrika, 36, 409-426.
    • (1971) Psychometrika , vol.36 , pp. 409-426
    • Jöreskog, K.G.1
  • 18
    • 0035540910 scopus 로고    scopus 로고
    • Factor analysis of ordinal variables: A comparison of three approaches
    • Jöreskog, K. G., & Moustaki, I. (2001). Factor analysis of ordinal variables: A comparison of three approaches. Multivariate Behavioral Research, 36, 347-387.
    • (2001) Multivariate Behavioral Research , vol.36 , pp. 347-387
    • Jöreskog, K.G.1    Moustaki, I.2
  • 19
    • 84973702844 scopus 로고
    • Power of the likelihood ratio test in multiple group confirmatory factor analysis under partial measurement invariance
    • Kaplan, D. (1989). Power of the likelihood ratio test in multiple group confirmatory factor analysis under partial measurement invariance. Educational and Psychological Measurement, 49, 579-586.
    • (1989) Educational and Psychological Measurement , vol.49 , pp. 579-586
    • Kaplan, D.1
  • 21
    • 0034559665 scopus 로고    scopus 로고
    • Maximum likelihood estimation of latent interaction effects with the LMS method
    • Klein, A., & Moosbrugger, H. (2000). Maximum likelihood estimation of latent interaction effects with the LMS method. Psychometrika, 65, 457-474.
    • (2000) Psychometrika , vol.65 , pp. 457-474
    • Klein, A.1    Moosbrugger, H.2
  • 24
    • 0035998148 scopus 로고    scopus 로고
    • Maximum likelihood estimation of nonlinear structural equation models
    • Lee, S. Y., & Zhu, H. T. (2002). Maximum likelihood estimation of nonlinear structural equation models. Psychometrika, 67, 189-210.
    • (2002) Psychometrika , vol.67 , pp. 189-210
    • Lee, S.Y.1    Zhu, H.T.2
  • 25
    • 0141758367 scopus 로고    scopus 로고
    • On the relationship between sources of within- and between-group differences and measurement invariance in the common factor model
    • Lubke, G. H., Dolan, C. V., Kelderman, H., & Mellenbergh, G. J. (2003). On the relationship between sources of within- and between-group differences and measurement invariance in the common factor model. Intelligence, 31, 543-566.
    • (2003) Intelligence , vol.31 , pp. 543-566
    • Lubke, G.H.1    Dolan, C.V.2    Kelderman, H.3    Mellenbergh, G.J.4
  • 26
    • 4344623799 scopus 로고    scopus 로고
    • Structural equation models of latent interactions: Evaluation of alternative estimation strategies and indicator construction
    • Marsh, H. W., Wen, Z., & Hau, K.-T. (2004). Structural equation models of latent interactions: evaluation of alternative estimation strategies and indicator construction. Psychological Methods, 9, 275-300.
    • (2004) Psychological Methods , vol.9 , pp. 275-300
    • Marsh, H.W.1    Wen, Z.2    Hau, K.-T.3
  • 27
    • 0003357086 scopus 로고
    • Nonlinear factor analysis
    • Richmond, VA: William Byrd Press
    • McDonald, R. P. (1967). Nonlinear factor analysis. Psychometric Monograph Number 15. Richmond, VA: William Byrd Press.
    • (1967) Psychometric Monograph Number 15 , vol.15
    • McDonald, R.P.1
  • 28
    • 85047669360 scopus 로고    scopus 로고
    • Principles and practice in reporting structural equation analysis
    • McDonald, R. P., & Ho, M.-H. R. (2002). Principles and practice in reporting structural equation analysis. Psychological Methods, 7, 64-82.
    • (2002) Psychological Methods , vol.7 , pp. 64-82
    • McDonald, R.P.1    Ho, M.-H.R.2
  • 29
    • 2642549077 scopus 로고    scopus 로고
    • A Monte-Carlo study of confirmatory factor analytic tests of measurement equivalence/invariance
    • Meade, A. W., & Lautenschlager, G. J. (2004). A Monte-Carlo study of confirmatory factor analytic tests of measurement equivalence/invariance. Structural Equation Modeling, 11, 60-72.
    • (2004) Structural Equation Modeling , vol.11 , pp. 60-72
    • Meade, A.W.1    Lautenschlager, G.J.2
  • 30
    • 34250928365 scopus 로고
    • Notes on factorial invariance
    • Meredith, W. (1964). Notes on factorial invariance. Psychometrika, 29, 177-185.
    • (1964) Psychometrika , vol.29 , pp. 177-185
    • Meredith, W.1
  • 31
    • 34147110831 scopus 로고
    • Measurement invariance, factor analysis and factorial invariance
    • Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance. Psychometrika, 58, 525-543.
    • (1993) Psychometrika , vol.58 , pp. 525-543
    • Meredith, W.1
  • 32
    • 0003126745 scopus 로고    scopus 로고
    • The role of factorial invariance in modeling growth and change
    • A. Sayer & L. Collins (Eds.). Washington, DC: American Psychological Association
    • Meredith, W., & Horn, J. (2001). The role of factorial invariance in modeling growth and change. In A. Sayer & L. Collins (Eds.), New methods for the analysis of change (pp. 203-240). Washington, DC: American Psychological Association.
    • (2001) New Methods for the Analysis of Change , pp. 203-240
    • Meredith, W.1    Horn, J.2
  • 33
    • 0032221575 scopus 로고    scopus 로고
    • Group differences in regression intercepts: Implications for factorial invariance
    • Millsap, R. E. (1998). Group differences in regression intercepts: implications for factorial invariance. Multivariate Behavioral Research, 33, 403-424.
    • (1998) Multivariate Behavioral Research , vol.33 , pp. 403-424
    • Millsap, R.E.1
  • 34
    • 1942507439 scopus 로고    scopus 로고
    • Evaluating the impact of partial factorial invariance on selection in two populations
    • Millsap, R. E., & Kwok, O.-M. (2004). Evaluating the impact of partial factorial invariance on selection in two populations. Psychological Methods, 9, 93-115.
    • (2004) Psychological Methods , vol.9 , pp. 93-115
    • Millsap, R.E.1    Kwok, O.-M.2
  • 35
    • 0002974773 scopus 로고
    • Recent developments in the factor analysis of categorical variables
    • Mislevy, R. J. (1986). Recent developments in the factor analysis of categorical variables. Journal of Educational Statistics, 11, 3-31.
    • (1986) Journal of Educational Statistics , vol.11 , pp. 3-31
    • Mislevy, R.J.1
  • 36
    • 0010033212 scopus 로고
    • Random polynomial factor analysis
    • E. Diday, Y. Escoufier, L. Lebart, J. Pages, Y. Schektman, & R. Tomassone (Eds.). Amsterdam: Elsevier Science
    • Mooijaart, A., & Bentler, P. M. (1986). Random polynomial factor analysis. In E. Diday, Y. Escoufier, L. Lebart, J. Pages, Y. Schektman, & R. Tomassone (Eds.), Data analysis and informatics IV (pp. 241-250). Amsterdam: Elsevier Science.
    • (1986) Data Analysis and Informatics IV , pp. 241-250
    • Mooijaart, A.1    Bentler, P.M.2
  • 37
    • 0001391849 scopus 로고
    • A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators
    • Muthén, B. (1984). A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators. Psychometrika, 49, 115-132.
    • (1984) Psychometrika , vol.49 , pp. 115-132
    • Muthén, B.1
  • 38
    • 0001171860 scopus 로고
    • Simultaneous factor analysis of dichotomous variables in several populations
    • Muthén, B., & Christoffersson, A. (1981). Simultaneous factor analysis of dichotomous variables in several populations. Psychometrika, 46, 407-419.
    • (1981) Psychometrika , vol.46 , pp. 407-419
    • Muthén, B.1    Christoffersson, A.2
  • 40
    • 0346966903 scopus 로고    scopus 로고
    • Applications of mean and covariance structure analysis: Integrating correlational and experimental approaches
    • Ployhart, R. E., & Oswald, F. L. (2004). Applications of mean and covariance structure analysis: Integrating correlational and experimental approaches. Organizational Research Methods, 7, 27-65.
    • (2004) Organizational Research Methods , vol.7 , pp. 27-65
    • Ployhart, R.E.1    Oswald, F.L.2
  • 41
    • 0002813537 scopus 로고
    • The power of the likelihood ratio test in covariance structure analysis
    • Satorra, A., & Saris, W. E. (1985). The power of the likelihood ratio test in covariance structure analysis. Psychometrika, 50, 83-90.
    • (1985) Psychometrika , vol.50 , pp. 83-90
    • Satorra, A.1    Saris, W.E.2
  • 42
    • 85004788542 scopus 로고
    • A general method for studying differences in factor means and factor structure between groups
    • Sörbom, D. (1974). A general method for studying differences in factor means and factor structure between groups. British Journal of Mathematical and Statistical Psychology, 27, 229-239.
    • (1974) British Journal of Mathematical and Statistical Psychology , vol.27 , pp. 229-239
    • Sörbom, D.1
  • 43
    • 0032383942 scopus 로고    scopus 로고
    • Assessing measurement invariance in cross-national consumer research
    • Steenkamp, J. E. M., & Baumgartner, H. (1998). Assessing measurement invariance in cross-national consumer research. Journal of Consumer Research, 25, 78-90.
    • (1998) Journal of Consumer Research , vol.25 , pp. 78-90
    • Steenkamp, J.E.M.1    Baumgartner, H.2
  • 44
    • 0002329579 scopus 로고    scopus 로고
    • A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research
    • 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, 4-69.
    • (2000) Organizational Research Methods , vol.3 , pp. 4-69
    • Vandenberg, R.J.1    Lance, C.E.2
  • 46
    • 27344432955 scopus 로고    scopus 로고
    • A review of nonlinear factor analysis statistical methods
    • (in press). R. Cudeck & R. C. MacCallum (Eds.). Mahway, NJ: Erlbaum
    • Wall, M. M., & Amemiya, Y. (in press). A review of nonlinear factor analysis statistical methods. In R. Cudeck & R. C. MacCallum (Eds.), Factor analysis at 100: Historical developments and future directions. Mahway, NJ: Erlbaum.
    • Factor Analysis at 100: Historical Developments and Future Directions
    • Wall, M.M.1    Amemiya, Y.2
  • 47
    • 17344393752 scopus 로고    scopus 로고
    • Exploring nonlinear models in personality assessment: Development and preliminary validation of a negative emotionality scale
    • Waller, N. G., Tellegen, A., McDonald, R. P., & Lykken, D. T. (1996). Exploring nonlinear models in personality assessment: Development and preliminary validation of a negative emotionality scale. Journal of Personality, 64, 545-576.
    • (1996) Journal of Personality , vol.64 , pp. 545-576
    • Waller, N.G.1    Tellegen, A.2    McDonald, R.P.3    Lykken, D.T.4
  • 48
    • 45249111845 scopus 로고    scopus 로고
    • Normal distribution
    • Retrieved January 1, 2005
    • Weisstein, E. W. (1999). Normal distribution. MathWorld-A Wol-fram Web Resource. Retrieved January 1, 2005, from http://mathworld.wolfram.com/ NormalDistribution.html
    • (1999) MathWorld-A Wol-fram Web Resource
    • Weisstein, E.W.1
  • 49
    • 1842596281 scopus 로고
    • Factor pattern of test items and tests as a function of the correlation coefficient: Content, difficulty, and constant error factors
    • Wherry, R. J., & Gaylord, R. H. (1944). Factor pattern of test items and tests as a function of the correlation coefficient: Content, difficulty, and constant error factors. Psychometrika, 9, 237-244.
    • (1944) Psychometrika , vol.9 , pp. 237-244
    • Wherry, R.J.1    Gaylord, R.H.2
  • 50
    • 0003095355 scopus 로고    scopus 로고
    • Exploring the measurement invariance of psychological instruments: Applications in the substance use domain
    • K. J. Bryant, M. Windle, & S. G. West (Eds.). Washington, DC: American Psychological Association
    • 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). Washington, DC: American Psychological Association.
    • (1997) The Science of Prevention: Methodological Advances from Alcohol and Substance Abuse Research , pp. 281-324
    • Widaman, K.F.1    Reise, S.P.2
  • 51
    • 0043195269 scopus 로고    scopus 로고
    • Nonlinear factor analysis as a statistical method
    • Yalcin, I., & Amemiya, Y. (2001). Nonlinear factor analysis as a statistical method. Statistical Science, 16, 275-294.
    • (2001) Statistical Science , vol.16 , pp. 275-294
    • Yalcin, I.1    Amemiya, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.