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A multilevel latent growth curve approach to predicting student proficiency

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Abstract

Value-added models and growth-based accountability aim to evaluate school’s performance based on student growth in learning. The current focus is on linking the results from value-added models to the ones from growth-based accountability systems including Adequate Yearly Progress decisions mandated by No Child Left Behind. We present a new statistical approach that extends the current value-added modeling possibilities and focuses on using latent longitudinal growth curves to estimate the probabilities of students reaching proficiency. The aim is to utilize time-series measures of student achievement scores to estimate latent growth curves and use them as predictors of a dichotomous outcome, such as proficiency or passing a high-stakes exam, within a single multilevel longitudinal model. We illustrated this method through analyzing a three-year data set of longitudinal achievement scores and California High School Exit Exam scores from a large urban school district. This latent variable growth logistic model is useful for (1) early identification of students at risk of failing or of those who are most in need; (2) a validation or/and adequacy of student growth over years with relation to distal outcome criteria; (3) evaluation of a longitudinal intervention study.

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References

  • Ballou, D., Sanders, W., & Wright, P. (2004). Controlling for student background in value-added assessment of teachers. Journal of Educational and Behavioral Statistics, 29(1), 37–65.

    Article  Google Scholar 

  • Bentler, P. M. (2002). EQS 6 structural equations program manual. Encino, CA: Multivariate Software, Inc.

  • Braun, H. (2005). Using student progress to evaluate teachers: A primer to value-added models. Princeton, NJ: Educational Testing Service.

  • Choi, K., Seltzer, M., Herman, J., & Yamashiro, K. (2007). Children left behind in AYP and non-AYP schools: Using student progress and the distribution of student gains to validate AYP. Educational Measurement: Issues and Practice, 26(3), 21–32.

    Article  Google Scholar 

  • Choi, K., & Seltzer, M. (2010). Modeling heterogeneity in relationships between initial status and rates of change: Treating latent variable regression coefficients as random coefficients in a three-level hierarchical model. Journal of Educational and Behavioral Statistics, 35(1), 54–91.

    Google Scholar 

  • Doran, H., & Izumi, L. (2004). Putting education to the test: A value-added model for California. San Francisco: Pacific Research Institute.

    Google Scholar 

  • Gelfand, A., Hills, S., Racine-Poon, A., & Smith, A. (1990). Illustration of Bayesian inference in normal data models using Gibbs sampling. Journal of the American Statistical Association, 85, 972–985.

    Google Scholar 

  • Jöreskog, K. G., & Sörbom, D. (2006). LISREL 8.8 for Windows. Lincolnwood, IL: Scientific Software International, Inc.

  • Morris, C. N. (1987). Comment on Tanner and Wong. Journal of the American Statistical Association, 82, 542–543.

    Google Scholar 

  • Muthen, L., & Muthen, O. B. (2010). Mplus user's guide. 6th ed. Los Angeles, CA: Muthén & Muthén.

  • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks: Sage.

    Google Scholar 

  • Rogosa, D., Brandt, D., & Zimowski, M. (1982). A growth curve approach to the measurement of change. Psychological Bulletin, 92(3), 726–748.

    Article  Google Scholar 

  • Seltzer, M. (1993). Sensitivity analysis for fixed effects in the hierarchical model: A Gibbs sampling approach. Journal of Educational Statistics, 18, 207–235.

    Article  Google Scholar 

  • Seltzer, M., Choi, K., & Thum, Y. (2003). Examining relationships between where students start and how rapidly they progress: Using new developments in growth modeling to gain insight into the distribution of achievement within schools. Education Evaluation and Policy Analysis, 25, 263–286.

    Article  Google Scholar 

  • Spiegelhalter, D., Thomas, A., Best, N., & Lunn, D. (2003). WinBUGS: Windows version of Bayesian inference using Gibbs sampling, version 1.4, User Manual. MRC Boistatistics Unit, Cambridge University.

  • Thum, Y. M. (2003). Measuring progress towards a goal: Estimating teacher productivity using a multivariate multilevel model for value-added analysis. Sociological Methods and Research, 32(2), 153–207.

    Article  Google Scholar 

  • Willett, J. B., Singer, J. D., & Martin, N. C. (1998). The design and analysis of longitudinal studies of development and psychopathology in context: Statistical models and methodological recommendations. Development and Psychopathology, 10, 395–426.

    Article  Google Scholar 

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Correspondence to Kilchan Choi.

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Choi, K., Goldschmidt, P. A multilevel latent growth curve approach to predicting student proficiency. Asia Pacific Educ. Rev. 13, 199–208 (2012). https://doi.org/10.1007/s12564-011-9191-8

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  • DOI: https://doi.org/10.1007/s12564-011-9191-8

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