Monitoring pupil development by means of the Kalman filter and smoother based upon SEM state space modeling

Learning and Individual Differences

Volumn 11, Issue 2, 1999, Pages 121-136

  Oud, Johan H L ^a   Jansen, Robert A R G ^b   Van Leeuwe, Jan F J ^b   Aarnoutse, Cor A J ^b   Voeten, Marinus J M ^b  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033473822     PISSN: 10416080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1041-6080(00)80001-1     Document Type: Article

References (22)

1. Aarnoutse, C. A. J., J. F. J. van Leeuwe, J. H. L. Oud, & M. J. M. Voeten. (1997). Nijmeegs Leerlingvolgsysteem LISKAL. Nijmegen: Nijmegen University Press.
2. Baltagi, B. H. (1995). Econometric Analysis of Panel Data. Chichester: Wiley.
3. Bryk, A. S. & S. W. Raudenbush. (1987). "Application of hierarchical linear models to assessing change." Psychological Bulletin, 101, 147-158.
4. Caines, P. E. (1988). Linear Stochastic Systems. New York: Wiley.
5. Deistler, M. (1985). "General structure and parametrization of ARMA and state-space systems and its relation to statistical problems." Pp. 257-277 in Handbook of Statistics: Vol. 5. Time Series in the Time Domain, edited by E. J. Hannan, P. R. Krishnaiah, & M. M. Rao. Amsterdam: North-Holland.
6. Jansen, R. A. R. G. (1997). Constructing Monitoring Systems in the Behavioral Sciences. Doctoral dissertation, University of Nijmegen. Nijmegen, The Netherlands: Nijmegen University Press.
7. Jansen, R. A. R. G. & J. H. L. Oud. (1995). "Longitudinal LISREL model estimation from incomplete data using using the EM algorithm and the Kaiman smoother." Statistica Neerlandica, 49, 362-377.
8. Kalman, R. (1960). "A new approach to linear filtering and prediction problems." Journal of Basic Engineering (Trans. ASME, ser. D), 82, 35-45.
9. Kalman, R. E. & R. S. Bucy. (1961). "New results in linear filtering and prediction problems." Journal of Basic Engineering (Trans. ASME, ser. D), 83, 95-108.
10. Lawley, D. N. & A. E. Maxwell. (1971). Factor Analysis as a Statistical Method. London: Butterworths.
11. Lewis, F. L. (1986). Optimal Estimation: With an Introduction to Stochastic Control Theory. New York: Wiley.
12. Liptser, R. S. & A. N. Shiryayev. (1977/1978). Statistics of Random Processes (Vols. 1-2). New York: Springer.
13. Ljung, L. (1985). "Estimation of parameters in dynamical systems." Pp. 189-211 in Handbook of Statistics: Vol.5. Time Series in the Time Domain, edited by E. J. Hannan, P. R. Krishnaiah, & M. M. Rao. Amsterdam: North-Holland.
14. Lord, F. M. & M. R. Novick. (1968). Statistical Theories of Mental Test Scores. Reading MA: Addison-Wesley.
15. Molenaar, J. & J. H. L. Oud. (1991). "Optimality and initialisation of the Kalman filter." Kwantatieve Methoden, 12(38), 45-52.
16. Oud, J. H. L. & R. A. R. G. Jansen. (1996). "Nonstationary longitudinal LISREL model estimation from incomplete panel data using EM and the Kaiman smoother." Pp. 135-159 in Analysis of Change: Advanced Techniques in Panel Data Analysis, edited by U. Engel & J. Reinecke. New York: de Gruyter.
17. Oud, J. H. L., J. H. L. van den Bercken, & R. J. Essers. (1990). "Longitudinal factor score estimation using the Kalman filter." Applied Psychological Measurement, 14, 395-418.
18. Oud, J. H. L., J. F. J. van Leeuwe, & R. A. R. G. Jansen. (1993). "Kalman filtering in discrete and continuous time based on longitudinal LISREL models." Pp. 3-26 in Advances in Longitudinal and Multivariate Analysis in the Behavioral Sciences, edited by J. H. L. Oud & A. W. van Blokland-Vogelesang. Nijmegen, The Netherlands: ITS.
19. Rauch, H. E., F. Tung, & C. T. Striebel. (1965). "Maximum likelihood estimates of linear dynamic systems." AIAA Journal, 3, 1445-1450.
20. Singer, H. (1991). LSDE - A Program Package for the Simulation, Graphical Display, Optimal Filtering and Maximum Likelihood Estimation of Linear Stochastic Differential Equations: User's Guide. Meersburg: Author.
21. Singer, H. (1992). "The aliasing-phenomenon in visual terms." Journal of Mathematical Sociology, 17, 39-49.
22. Willett, J. B. & A. G. Sayer. (1994). "Using covariance structure analysis to detect correlates and predictors of individual change over time." Psychological Bulletin, 116, 363-381.