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Ecological-Inference-Based Latent Growth Models: Modeling Changes of Alienation

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Abstract

Ecological-inference-based statistical methods employ aggregated (ecological) data to approximately infer individual-level structures of interests when individual-level data were not available. Under the same conceptual frames, we introduce the ecological-inference-based latent growth model (EI-LGM) to analyze cross-years latent trends of a general population when longitudinally collected data were not available. We showed both the substantive values and methodological feasibilities of EI-LGMs. Substantively, we analyze results from several Taiwan Social Change Surveys (TSCS) to show the cross-years latent trends using a subscale of alienation psychological characteristics. Not only the cross-years movements of measurement constructs of the scale were shown, the trends of latent factors were revealed as well. More importantly, these trends can be formally tested under the frameworks of EI-LGMs. Statistically, EI-LGMs were implemented under the weighted least square (WLS) approaches because of the dichotomous outcomes of the subscale. We demonstrate some of the estimation methods as well as some cautions of interpreting EI-LGMs using the estimated results.

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References

  • J. Baer M. F. Schmitz (2000) ArticleTitleLatent growth curve modeling with a cohort sequential design Social Work Research 24 243–248

    Google Scholar 

  • G. M. Barnes A. S. Reifman M. P. Farrell B.A. Dintcheff (2000) ArticleTitleThe effects of parenting on the development of adolescent alcohol misuse: A six-wave latent growth model Journal of Marriage and the Family 62 175–186 Occurrence Handle10.1111/j.1741-3737.2000.00175.x

    Article  Google Scholar 

  • D. J. Bartholomew (1987) Latent Variable Models and Factor Analysis Oxford University Press New York

    Google Scholar 

  • P. M. Bentler (1985) Theory and Implementation of EQS: A Structural Equations Program, Version 2.0. BMDP Inc Los Angeles

    Google Scholar 

  • K. A. Bollen (1989) Structural Equations with Latent Variables. John Wiley & Sons Inc.

    Google Scholar 

  • D. Chan S. Ramey C. Ramey N. Schmitt (2000) ArticleTitleModeling intraindividual changes in children’s social skills at home and at school: A multivariate latent growth approach to understanding between-settings differences in children’s social skill development Multivariate Behavioral Research 35 365–396 Occurrence Handle10.1207/S15327906MBR3503_04

    Article  Google Scholar 

  • F. Drasgow (1988) Polychoric and polyserial correlations L Kotz N. L. Johnson (Eds) Encyclopedia of statistical sciences NumberInSeries7 Wiley New York 69–74

    Google Scholar 

  • K. G. Jöreskog D. Sörbom (1985) LISREL VI; Analysis of Linear Structural Relationships by Maximum Likehood, Instrumental Variables, and Least Squares University of Uppsala Uppsala

    Google Scholar 

  • S. Kamano (1999) ArticleTitleComparing individual attitudes in seven countries Social Science Research 28 1–35 Occurrence Handle10.1006/ssre.1998.0630

    Article  Google Scholar 

  • M.K. Keiley J.E. Bates K.A. Dodge G.S. Pettit (2000) ArticleTitleA cross-domain growth analysis: Externalizing and internalizing behaviors during 8 years of childhood Journal of Abnormal Child Psychology 28 161–179 Occurrence Handle10.1023/A:1005122814723 Occurrence Handle1:STN:280:DC%2BD3cvhtlKjuw%3D%3D Occurrence Handle10834768

    Article  CAS  PubMed  Google Scholar 

  • G. King O. Rosen M. A. Tanner (1999) ArticleTitleBinomial-beta hierarchical models for ecological inference Sociological Methods , Research 28 61–90

    Google Scholar 

  • B. O. Muthén (1978) ArticleTitleContributions to factor analysis of dichotomized variables Psychometrika 43 551–560

    Google Scholar 

  • B. O. Muthén (1984) ArticleTitleA general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators Psychometrika 49 115–132

    Google Scholar 

  • Muthén, L. , Muthén, B. O. (1998). The Mplus User Manual. Muthén , Muthén, Inc.

  • M. Sankey G. F. Huon (1999) ArticleTitleInvestigating the role of alienation in a multicomponent model of juvenile delinquency Journal of Adolescence 22 95–107 Occurrence Handle10.1006/jado.1998.0203 Occurrence Handle1:STN:280:DyaK1M7mslGnsg%3D%3D Occurrence Handle10066334

    Article  CAS  PubMed  Google Scholar 

  • Schuessler A.A. , Penubarti M. (1997). Overtime inference from cross-sectional surveys. Paper was presented at the Annual Meeting of the American Political Science Association, Washington D.C

  • R. L. Simons W. Chao R. D. Conger G. H. Elder (2001) ArticleTitleQuality of parenting as mediator of the effect of childhood defiance on adolescent friendship choices and delinquency: A growth curve analysis Journal of Marriage and the Family 63 63–79 Occurrence Handle10.1111/j.1741-3737.2001.00063.x

    Article  Google Scholar 

  • Y. Takane J. Leeuw Particlede (1987) ArticleTitleOn the relationship between item response theory and factor analysis of discretized variables Psychometrika 52 393–408

    Google Scholar 

  • B. Wheaton B. Muthén D. F. Alwin G. F. Summers (1977) Assessing reliability and stability in panel models D. R. Heise (Eds) Sociological Methodology Jossey Bass San Francisco

    Google Scholar 

  • Yang C. C. , Liou, H. Y Yang, C. C. (2004). Sample size requirements of using latent growth models in longitudinal study. (in Chinese). Journal of Education and Psychology, Vol. 27, No. 3, in press.

  • K.-S. Yang D.-H. Yue E.-C. Wu (1991) ArticleTitleNormal and delinquent syndromes of Chinese youth in Taiwan: Quantitative differentiation and psychological profiles Proceedings of National Science Council, ROC, Part C: Humanities and Social Sciences 2 260–279

    Google Scholar 

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Correspondence to Chih-Chien Yang.

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Part of this paper was presented at the Fourth Survey Research Conference held at the Academia Sinica, Taipei, August 29–August 30, 2002.

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Yang, CC., Yang, CC. & Yeh, KH. Ecological-Inference-Based Latent Growth Models: Modeling Changes of Alienation. Qual Quant 39, 125–135 (2005). https://doi.org/10.1007/s11135-004-1669-6

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