A comparative study of four methods for analysing repeated measures data

Statistics in Medicine

Volumn 15, Issue 11, 1996, Pages 1143-1159

  Manor, Orly ^a   Kark, Jeremy D ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ACUTE HEART INFARCTION; ADULT; AGED; ARTICLE; CLINICAL ARTICLE; CONTROLLED STUDY; CURVE FITTING; DATA ANALYSIS; ERYTHROCYTE MEMBRANE; FEMALE; HUMAN; INTERMETHOD COMPARISON; LIPID COMPOSITION; MALE; SAMPLE; STATISTICAL ANALYSIS;

ANALYSIS OF VARIANCE; DATA INTERPRETATION, STATISTICAL; ERYTHROCYTE MEMBRANE; FATTY ACIDS; FEMALE; HUMANS; LONGITUDINAL STUDIES; MALE; MULTIVARIATE ANALYSIS; MYOCARDIAL INFARCTION; REPRODUCIBILITY OF RESULTS; SAMPLE SIZE;

EID: 0030013296     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960615)15:11<1143::AID-SIM227>3.0.CO;2-M     Document Type: Article

References (46)

1. Kark, J. D., Manor, O., Goldman, S. and Berry, E. M. 'Instability of RBC membrane fatty acid composition after acute myocardial infarction', Journal of Clinical Epidemiology, 48, 889-895 (1995).
2. Winer, B. J. Statistical Principles in Experimental Design, 2nd edn, McGraw-Hill, New York, 1971.
3. Bock, R. D. 'Univariate and multivariate analysis of variance of time-structured data', in Nesselroade, J. R. and Baltes, P. B. (eds), Longitudinal Research in the Study of Behavior and Development, Academic Press, New-York, 1979, pp. 199-232.
4. Cole, J. W. L. and Grizzle, J. E. 'Applications of multivariate analysis of variance to repeated measurements experiments', Biometrics, 22, 810-828 (1966).
5. Timm, M. H. 'Multivariate analysis of variance of repeated measures', in Kirshnaiah, P. R. (ed), Handbook of Statistics, Vol. 1, North Holland, Amsterdam, 1980, pp. 41-87.
6. Potthoff, R. F. and Roy, S. N. 'A generalized multivariate analysis of variance model useful especially for growth curve problems', Biometrika, 51, 313-326 (1964).
7. Grizzle, J. E. and Allen, D. M. 'Analysis of growth and dose response curves', Biometrics, 25, 357-381 (1969).
8. Kleinbaum, D. G. 'A generalization of the growth curve model which allows missing data', Journal of Multivariate Analysis, 3, 117-124 (1973).
9. Fearn, T. 'A Bayesian approach to growth curves', Biometrika 62, 89-100 (1975).
10. Berk, K. 'Computing for incomplete repeated measures', Biometrics, 43, 385-398(1987).
11. Laird, N. M. and Ware, J. H. 'Random effects model for longitudinal data', Biometrics, 38, 963-974 (1982).
12. Ware, J. H. 'Linear models for the analysis of longitudinal studies', The American Statistician, 39, 95-101 (1985).
13. Jennrich, R. I. and Schluchter, M. D. 'Unbalanced repeated measures models with structured covariance matrices', Biometrics, 42, 805-820 (1986),
14. Laird, N. M., Lange, N. and Stram, D. 'Maximum likelihood computations with repeated measures: Application of the EM algorithm', Journal of the American Statistical Association, 82, 97-105 (1987).
15. Hui, S. L. 'Curve fitting for repeated measurements made at irregular time points', Biometrics, 40, 691-697 (1984).
16. Goldstein, H. Multilevel Models in Educational and Social Research, Griffin, London, 1987.
17. Jones, R. H. and Boadi-Boateng, F. 'Unequally spaced longitudinal data with AR(1) serial correlation', Biometrics, 47, 161-175 (1991).
18. Goldstein, H., Healy, M. J. R. and Rasbash, J. 'Multilevel time series models with applications to repeated measures data', Statistics in Medicine, 13, 1643-1655 (1994).
19. Carter, R. L. and Yang, M. C. K. 'Large sample inference in random coefficient regression models', Communications in Statistics - Theory and Methods, 8, 2507-2526 (1986).
20. Vonesh, E. F. and Carter, R. L. 'Efficient inference for random-coefficient growth curve models with unbalanced data', Biometrics, 43, 617-628 (1987).
21. Wishart, J. 'Growth rate determination in nutrition studies with the bacon pig and their analysis', Biometrika, 30, 16-28 (1938).
22. Rao, C. R. 'Some statistical methods for comparison of growth curves', Biometrics, 14, 1-17 (1958).
23. Rao, C. R. The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves', Biometrika, 52, 447-458 (1965).
24. Sanders, W. L. 'Analysis of repeated measurement experiment with incomplete data', in Strand, R. H. and Farrell, T. (eds), Proceedings of the Third Annual SUGI Conference, SAS Institute Inc., Cary, North Carolina, 1978, pp. 113-136.
25. Stanek, E. J. III. 'A two-step method for understanding and fitting growth curve models', Statistics in Medicine, 9, 841-851 (1990).
26. Johnson, W. D., George, V. T., Shahane, A. and Fuchs, G. J. 'Fitting growth curve to longitudinal data with missing observations', Human Biology, 64, 243-253 (1992).
27. Reinsel, G. 'Mean squared error properties of empirical Bayes estimator in multivariate random effects general linear model', Journal of the American Statistical Association, 80, 642-650 (1985).
28. Akaike, H. 'Information theory and an extension of the maximum likelihood principle', in Petrov, B. N. and Csak, F. (eds), 2nd International Symposium on Information Theory and Control, Akademi Kiado, Budapest, 1973, pp. 267-281.
29. Schluchter, M. D. and Elashoff, J. D. 'Small-sample adjustments to tests with unbalanced repeated measures assuming several covariance structures', Journal of Statistic Computation and Simulation, 37, 69-87 (1990).
30. Dixon, W. J. (ed) BMDP Statistical Software, University of California Press, Berkeley, 1990.
31. Goldstein, H. 'Multilevel mixed linear model analysis using iterative generalized least squares', Biometrika, 73, 43-56 (1986).
32. Goldstein, H. 'Restricted (unbiased) iterative generalized least squares estimation', Biometrika, 76, 622-623 (1989).
33. Prosser, R., Rasbash, J. and Goldstein, H. ML3: Software for Three-Level Analysis, User's Guide for V. 2, Institute of Education, University of London, 1991.
34. Rubin, D. B. 'Inference and missing data', Biometrika, 63, 518-592 (1976).
35. Lange, N. and Ryan, L. 'Assessing normality in random effects models', Annals of Statistics, 17, 624-642 (1989).
36. Bloomfield, P. and Watson, G. S. The inefficiency of least squares', Biometrika, 62, 121-128 (1975).
37. Zeger, S. L. and Liang, K. Y. 'An overview of methods for the analysis of longitudinal data', Statistics in Medicine, 11, 1825-1839 (1992).
38. Kleijnen, J., Brent, R. and Brouwers, R. 'Small-sample behaviour of weighted least squares in experimental design applications', Communications in Statistics - Simulation and Computation, B, 10, 303-313 (1981).
39. Wu, M. C. and Caroll, J. R. 'Estimation and comparison of changes in the presence of informative right censoring: modelling the censoring process', Biometrics, 44, 175-188 (1988).
40. Schwertman, N. C., Fridshal, D. and Magrey, J. M. 'On the analysis of incomplete growth curve data, a Monte Carlo study of the two nonparametric procedures', Communications in Statistics - Simulation and Computation, B, 10, 51-66 (1981).
41. Raudenbush, S. and Bryk, A. S. 'A hierarchical model for studying school effects', Sociology of Education, 59, 1-17 (1986).
42. Aitkin, M. and Longford, N. 'Statistical modelling issues in school effectiveness studies', Journal of the Royal Statistical Society, Series A, 149, 1-43 (1986).
43. Lee, Y. 'Jackknife variance estimators of the location estimator in the one-way random-effects model', Annals of the Institute of Statistical Mathematics, 43, 707-714 (1991).
44. Rosner, B. and Munoz, A. 'Autoregressive modelling for the analysis of longitudinal data with unequally spaced examinations', Statistics in Medicine, 7, 59-71 (1988).
45. Reinsel, G. 'Estimation and prediction in multivariate random effects generalized linear model', Journal of the American Statistical Association, 79, 406-414 (1984).
46. Evans, J. C. and Roberts, E. A. 'Analysis of sequential observations with applications to experiments on grazing animals and perennial plants', Biometrics, 35, 687-693 (1979).