Modeling change in skewed variables using mixed beta regression models

Research in Human Development

Volumn 7, Issue 1, 2010, Pages 9-26

  Zimprich, Daniel ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79960490430     PISSN: 15427609     EISSN: 15427617     Source Type: Journal    
DOI: 10.1080/15427600903578136     Document Type: Article

References (29)

1. Barndorff-Nielsen, O. E., & Jørgensen, B. (1991). Some parametric models on the simplex. Journal of Multivariate Analysis, 39, 106-116.
2. Birren, J. E. (1965). Age-changes in speed of behaviour: Its central nature and psychological correlates. In A. T. Welford & J. E. Birren (Eds.), Behavior, aging, and the nervous system (pp. 191-216). Springfield, IL: Charles C Thomas.
3. Bozdogan, H. (1987). Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions. Psychometrika, 52, 345-370.
4. Cerella, J. (1985). Information processing rates in the elderly. Psychological Bulletin, 40, 153-193.
5. Cox, D. R., & Snell, E. J. (1989). The analysis of binary data (2nd ed.). London: Chapman & Hall.
6. Espinheira, P. L., Ferrari, S. L. P., & Cribari-Neto, F. (2008). Influence diagnostics in beta regression. Computational Statistics and Data Analysis, 52, 4417-4431.
7. Ferrari, S. L. P., & Cribari-Neto, F. (2004). Beta regression for modelling rates and proportions. Journal of Applied Statistics, 31, 799-815.
8. Gupta, A. K., & Nadarajah, S. (2004). Handbook of beta distribution and its applications. New York: Marcel Dekker.
9. Hedeker, D., & Gibbons, R. D. (1997). Application of random-effects pattern-mixture models for missing data in longitudinal studies. Psychological Methods, 2, 64-78.
10. Hultsch, D. F., Hertzog, C., Dixon, R. A., & Small, B. J. (1998). Memory change in the aged. Cambridge, UK: Cambridge University Press.
11. Hultsch, D. F., MacDonald, S. W. S., Dixon, R. A. (2002). Variability in reaction time performance of younger and older adults. Journals of Gerontology, Series B: Psychological Sciences and Social Sciences, 57, P101-P115.
12. Johnson, N. L., Kotz, S. & Balakrishnan, N. (1995). Continuous univariate distributions (vols. 1 and 2). New York: Wiley.
13. Kieschnick, R., & McCullogh, B. D. (2003). Regression analysis of variates observed on (0, 1): Percentages, proportions, and fractions. Statistical Modeling, 3, 193-213.
14. Lehr, U., & Thomae, H. (1987). Formen seelischen Alterns [Forms of growing old]. Stuttgart, Germany: Enke.
15. Lindsey, J. K. (1997). Applying generalized linear models. New York: Springer.
16. McCullagh, P., & Nelder, J. A. (1989). Generalized linear models (2nd ed.). London: Chapman & Hall.
17. Mierke, K. (1957). Konzentrationsfähigkeit und Konzentrationsschwäche [Ability to concentrate and lack of concentration]. Bern, Switerland: Huber.
18. Molenberghs, G., & Verbeke, G. (2005). Models for discrete longitudinal data. New York: Springer.
19. Paolino, P. (2001). Maximum likelihood estimation of models with beta-distributed dependent variables. Political Analysis, 9, 325-346.
20. Patefield, M. (2002). Fitting non-linear structural relationships using SAS procedure NLMIXED. The Statistician, 51, 355-366.
21. Salthouse, T. A. (1996). The processing-speed theory of adult age differences in cognition. Psychological Review, 103, 403-428.
22. SAS Institute Inc. (2000). SAS/STAT User's Guide. Cary, NC: SAS Institute.
23. Sen, A., & Srivastava, M. (1990). Regression analysis. New York: Springer.
24. Smithson, M., & Verkuilen, J. (2006). A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables. Psychological Methods, 11, 54-71.
25. Smyth, G. K. (1989). Generalized linear models with varying dispersion. Journal of the Royal Statistical Society, Series B, 51, 47-60.
26. Verbeke, G., & Molenberghs, G. (2000). Linear mixed models for longitudinal data. New York: Springer.
27. Zimprich, D. (2002). Cross-sectionally and longitudinally balanced effects of processing speed on intellectual abilities. Experimental Aging Research, 28, 231-251.
28. Zimprich, D., & Martin, M. (2002). Can longitudinal changes in processing speed explain longitudinal age changes in fluid intelligence? Psychology and Aging, 17, 690-695.
29. Zimprich, D., & Rast, P. (2009). Verbal learning changes in older adults across 18 months. Aging, Neuropsychology, and Cognition, 16, 461-484.