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Latent variable modeling in heterogeneous populations


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  • Bengt Muthén
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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 54 (1989)
    Issue (Month): 4 (September)
    Pages: 557-585

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    Handle: RePEc:spr:psycho:v:54:y:1989:i:4:p:557-585

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    Keywords: mixtures; covariance structures; multiple-group analysis; MIMIC; LISCOMP; random parameters; multilevel; hierarchical data;


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    1. Ulf Olsson & Fritz Drasgow & Neil Dorans, 1982. "The polyserial correlation coefficient," Psychometrika, Springer, vol. 47(3), pages 337-347, September.
    2. Henry Braun & Douglas Jones & Donald Rubin & Dorothy Thayer, 1983. "Empirical bayes estimation of coefficients in the general linear model from data of deficient rank," Psychometrika, Springer, vol. 48(2), pages 171-181, June.
    3. David Rogosa & John Willett, 1985. "Understanding correlates of change by modeling individual differences in growth," Psychometrika, Springer, vol. 50(2), pages 203-228, June.
    4. Bengt Muthén, 1989. "Using item-specific instructional information in achievement modeling," Psychometrika, Springer, vol. 54(3), pages 385-396, September.
    5. K. Jöreskog, 1971. "Simultaneous factor analysis in several populations," Psychometrika, Springer, vol. 36(4), pages 409-426, December.
    6. Bengt Muthén, 1978. "Contributions to factor analysis of dichotomous variables," Psychometrika, Springer, vol. 43(4), pages 551-560, December.
    7. Bengt Muthén & Anders Christoffersson, 1981. "Simultaneous factor analysis of dichotomous variables in several groups," Psychometrika, Springer, vol. 46(4), pages 407-419, December.
    8. Karl Jöreskog, 1978. "Structural analysis of covariance and correlation matrices," Psychometrika, Springer, vol. 43(4), pages 443-477, December.
    9. William Meredith, 1964. "Notes on factorial invariance," Psychometrika, Springer, vol. 29(2), pages 177-185, June.
    10. Albert Satorra & Willem Saris, 1985. "Power of the likelihood ratio test in covariance structure analysis," Psychometrika, Springer, vol. 50(1), pages 83-90, March.
    11. Muthen, Bengt, 1983. "Latent variable structural equation modeling with categorical data," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 43-65.
    12. Harvey Goldstein & Roderick McDonald, 1988. "A general model for the analysis of multilevel data," Psychometrika, Springer, vol. 53(4), pages 455-467, December.
    13. Robert Gibbons & R. Bock, 1987. "Trend in correlated proportions," Psychometrika, Springer, vol. 52(1), pages 113-124, March.
    14. Swamy, P A V B, 1970. "Efficient Inference in a Random Coefficient Regression Model," Econometrica, Econometric Society, vol. 38(2), pages 311-23, March.
    15. P. Bentler, 1983. "Some contributions to efficient statistics in structural models: Specification and estimation of moment structures," Psychometrika, Springer, vol. 48(4), pages 493-517, December.
    16. Ulf Olsson, 1979. "Maximum likelihood estimation of the polychoric correlation coefficient," Psychometrika, Springer, vol. 44(4), pages 443-460, December.
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    Cited by:
    1. Roderick McDonald, 1993. "A general model for two-level data with responses missing at random," Psychometrika, Springer, vol. 58(4), pages 575-585, December.
    2. Ferreira, Ivan F. S. & Bugarin, Mauricio S., 2006. "Transferências Voluntárias e Ciclo Político-Orçamentário no Federalismo Fiscal Brasileiro," Insper Working Papers wpe_64, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    3. Hui Zheng & Yang Yang & Kenneth Land, 2011. "Heterogeneity in the Strehler-Mildvan General Theory of Mortality and Aging," Demography, Springer, vol. 48(1), pages 267-290, February.
    4. Sik-Yum, Lee & Wai-Yin, Poon, 1995. "Estimation of factor scores in a two-level confirmatory factor analysis model," Computational Statistics & Data Analysis, Elsevier, vol. 20(3), pages 275-284, September.
    5. Holger Steinmetz & Peter Schmidt & Andrea Tina-Booh & Siegrid Wieczorek & Shalom Schwartz, 2009. "Testing measurement invariance using multigroup CFA: differences between educational groups in human values measurement," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(4), pages 599-616, July.
    6. William Meredith, 1993. "Measurement invariance, factor analysis and factorial invariance," Psychometrika, Springer, vol. 58(4), pages 525-543, December.
    7. Pilar Rivera & Albert Satorra, 2000. "Country effects in ISSP-1993 environmental data: Comparison of SEM approaches," Economics Working Papers 458, Department of Economics and Business, Universitat Pompeu Fabra.
    8. P. Nokelainen & T. Silander & P. Ruohotie & H. Tirri, 2007. "Investigating the Number of Non-linear and Multi-modal Relationships Between Observed Variables Measuring Growth-oriented Atmosphere," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(6), pages 869-890, December.
    9. Coenders, Germà & Espinet, Josep Maria & Saez, Marc, 2001. "Predicting random level and seasonality of hotel prices. A structural equation growth curve approach," Working Papers of the Department of Economics, University of Girona 1, Department of Economics, University of Girona.
    10. Yiu-Fai Yung, 1997. "Finite mixtures in confirmatory factor-analysis models," Psychometrika, Springer, vol. 62(3), pages 297-330, September.
    11. N. Longford & B. Muthén, 1992. "Factor analysis for clustered observations," Psychometrika, Springer, vol. 57(4), pages 581-597, December.
    12. Nadezhda Lebedeva & Peter Schmidt, 2013. "Values and Attitudes towards Innovation among Canadian, Chinese and Russian Students," HSE Working papers WP BRP 04/SOC/2013, National Research University Higher School of Economics.
    13. Chia-Huei Wu, 2008. "The Role of Perceived Discrepancy in Satisfaction Evaluation," Social Indicators Research, Springer, vol. 88(3), pages 423-436, September.
    14. Asim Ansari & Kamel Jedidi & Laurette Dube, 2002. "Heterogeneous factor analysis models: A bayesian approach," Psychometrika, Springer, vol. 67(1), pages 49-77, March.
    15. Jean-Paul Fox & Cees Glas, 2003. "Bayesian modeling of measurement error in predictor variables using item response theory," Psychometrika, Springer, vol. 68(2), pages 169-191, June.
    16. Ellen D’Haenens & Jan Van Damme & Patrick Onghena, 2012. "Constructing measures for school process variables: the potential of multilevel confirmatory factor analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(1), pages 155-188, January.
    17. Hong-Tu Zhu & Sik-Yum Lee, 2001. "A Bayesian analysis of finite mixtures in the LISREL model," Psychometrika, Springer, vol. 66(1), pages 133-152, March.
    18. Cody Ding, 2007. "Modeling Growth Data Using Multidimensional Scaling Profile Analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(6), pages 891-903, December.
    19. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2004. "Generalized multilevel structural equation modeling," Psychometrika, Springer, vol. 69(2), pages 167-190, June.
    20. Sik-Yum Lee & Sin-Yu Tsang, 1999. "Constrained maximum likelihood estimation of two-level covariance structure model via EM type algorithms," Psychometrika, Springer, vol. 64(4), pages 435-450, December.
    21. Jiajuan Liang & Peter Bentler, 2004. "An EM algorithm for fitting two-level structural equation models," Psychometrika, Springer, vol. 69(1), pages 101-122, March.
    22. Ke-Hai Yuan & Kentaro Hayashi, 2005. "On muthén’s maximum likelihood for two-level covariance structure models," Psychometrika, Springer, vol. 70(1), pages 147-167, March.


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