Analysis of repeated measurements with ante-dependence covariance models

Biometrical Journal

Volumn 39, Issue 3, 1997, Pages 339-350

  Macchiavelli, Raul E ^a   Moser, E Barry ^b  

^a UNIVERSITY OF PUERTO RICO   (Puerto Rico)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Ante dependence model; Repeated measurements; Wald test

Indexed keywords

MAXIMUM LIKELIHOOD ESTIMATION; REGRESSION ANALYSIS; STATISTICAL TESTS;

ANTE-DEPENDENCE MODEL; CONDITIONAL REGRESSIONS; COVARIANCE MATRICES; COVARIANCE MODELS; DEPENDENCE MODEL; MAXIMUM LIKELIHOOD ESTIMATOR; REGRESSION MODELLING; REPEATED MEASUREMENTS; REPEATED MEASURES; WALD TEST;

COVARIANCE MATRIX;

EID: 0031504263     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.4710390308     Document Type: Article

References (27)

1. ALTHAM, P. M. E., 1984: Improving the precision of estimation by fitting a model. J. Roy. Statrist. Soc. Ser. B 46, 118-119.
2. ANDERSON, T. W., 1957: Maximum likelihood estimates for a mulvariate distribution when some observations are missing. J. Amer. Statist. Assoc. 57, 200-203.
3. ARNOLD, S. F., 1981: The Theory of Linear Models and Multivariate Analysis. Wiley, New York.
4. BYRNE, P. J. and ARNOLD, S. F., 1983: Inferences about multivariate means for a nonstationary autoregressive model. J. Amer. Statist. Assoc. 78, 850-855.
5. COX, D. R. and WERMUTH, N., 1990: An approximation to maximum likelihood estimates in reduced models. Biometrika 77, 747-761.
6. COX, D. R. and WERMUTH, N., 1993: Linear dependencies represented by chain graphs. Statist. Sci. 8, 204-218.
7. CROWDER, M. J. and HAND, D. J., 1990: Analysis of Repealed Measures. Chapman and Hall, London.
8. DANFORD, M. B., HUGHES, H. M. and MCNEE, R. C., 1960: On the analysis of repeated-measurements experiments. Biometrics 16, 547-565.
9. DEMPSTER, A. P., 1972: Covariance Selection. Biometrics 28, 157-175.
10. EVANS, J. C. and ROBERTS, E. A., 1979: Analysis of sequential observations with applications to experiments on grazing animals and perennial plants. Biometrics 35, 687-693.
11. GABRIEL, K. R., 1962: Ante-dependence analysis of an ordered set of variables. Ann. Math. Statist. 33, 201-212.
12. GRAYBILL, F. A., 1983: Matrices with applications in statistics. Wadsworth International Group, Belmont, Calif.
13. GREENHOUSE, S. W. and GEISSER, S., 1959: On the methods in the analysis of profile data. Psychometrika 49, 95-112.
14. HENDERSON, H. V. and SEARLE, S. R., 1979: Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics. Canad. J. Statist. 7, 65-81.
15. HUYNH, H. and FELDT, L. S., 1970: Conditions under which mean square ratios in repeated measurements designs have exact F-distributions. J. Amer. Statist. Assoc. 65, 1582-1589.
16. JENNRICH, R. I. and SCHLUCHTER, M. D., 1986: Unbalanced repeated-measures models with structured covariance matrices. Biometrics 42, 805-820.
17. JOHNSON, K., 1989: Higher Order Antedependence Models. Ph.D. Thesis. The Pennsylvania State University.
18. KENWARD, M. G., 1987: A method for comparing profiles of repeated measurements. Appl. Statist. 36, 296-308.
19. KEEINBAUM, D. G., 1973: Testing linear hypotheses in generalized multivariate linear models. Comm. Statist. 1, 433-457.
20. LINDSEY, J. K., 1993: Models for Repeated Measurements. Oxford University Press, London.
21. MACCHIAVELLI, R. E., 1992: Likelihood-based Procedures and Order Selection in Higher Order Ante-dependence Models. Ph.D. Thesis. The Pennsylvania State University.
22. MACCHIAVELLI, R. E. and ARNOLD, S., 1995: Difficulties with the use of penalized likelihood criteria in antedependence and polynomial models. Comm. Statist., Theory and Methods 24, 501-522.
23. OSTROUCHOV, G. and MEEKER, W. Q., 1988: Accuracy of approximate confidence bounds computed from interval censored Weibull and lognormal data. J. of Statist. Comput. and Simulation 29, 43-76.
24. PATEL, H. I., 1991: Analysis of incomplete data from a clinical trial with repeated measurements. Biometrika 78, 609-619.
25. RAZ, J., 1989: Analysis of repeated measurements using nonparametric smoothers and randomization tests. Biometries 45, 851-871.
26. SAS Institute, Inc., 1990: SAS/STAT User's Guide, Version 6. Fourth edition, Volume 2. SAS Institute, Inc., Cary, NC.
27. VERBYLA, A. P., 1986: A note on the partition of the likelihood ratio test for autoregressive covariance structure. Ans. J. Statist. 28, 389-399.