Have a personal or library account? Click to login

Analysis of multivariate repeated measures data using a MANOVA model and principal components

Open Access
|Dec 2014

References

  1. Arnold S. F. (1979): Linear models with exchangeably distributed errors. Journal of American Statistical Association 74: 194-199.10.1080/01621459.1979.10481637
  2. Deregowski K., Krzysko M. (2009): Principal component analysis in the case of multivariate repeated measures data. Biometrical Letters 46: 163-172.
  3. Florek K., Łukaszewicz J., Perkal J., Steinhaus H. and Zubrzycki S. (1951): Sur la liaison et la division des points d’un ensemble fini. Colloquium Mathematicum 2: 282-285.10.4064/cm-2-3-4-282-285
  4. Geisser S., Greenhouse S. (1958): An extension of Box’s results on the use of the F distribution in multivariate analysis. Annals of Mathematical Statistics 29: 885-891.10.1214/aoms/1177706545
  5. Giri N. C. (1996): Multivariate Statistical Analysis. Marcel Dekker, Inc., New York.
  6. Khatri C. G. (1962): Conditions for Wishartness and independence of second degree polynomials in normal vector. Annals of Mathematical Statistics 33: 1002-1007.10.1214/aoms/1177704467
  7. Kruskal J. B. (1956): On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Amer. Math. Soc. 7: 48âAS50.10.1090/S0002-9939-1956-0078686-7
  8. Lancaster P., Tismenetsky M. (1985): The Theory of Matrices, Second Edition: With Applications. Academic Press, Orlando.
  9. Mathew T. (1989): MANOVA in the multivariate components of variance model. Journal of Multivariate Analysis 29: 30-38.10.1016/0047-259X(89)90074-2
  10. Naik D. N., Rao S. (2001): Analysis of multivariate repeated measures data with a Kronecker product structured covariance matrix. J. Appl. Statist. 28: 91-105.
  11. Ortega J. M. (1987): Matrix Theory: A Second Course. Plenum Press, New York.10.1007/978-1-4899-0471-3
  12. Reinsel G. (1982): Multivariate repeated measurements or growth curve models with multivariate random-effects covariance structure. Journal of American Statistical Association 77: 190-195.10.1080/01621459.1982.10477785
  13. Roy A., Khattree R. (2005a): Discrimination and classification with repeated measures data under different covariance structures. Communications in Statistics - Simulation and Computation 34: 167-178.10.1081/SAC-200047072
  14. Roy A., Khattree R. (2005b): On discrimination and classification with multivariate repeated measures data. Journal of Statistical Planning and Inference 134: 462-485.10.1016/j.jspi.2004.04.012
  15. Roy A., Khattree R. (2008): Classification rules for repeated measures data from biomedical research. In: Khattree R., Naik D. N. (eds) Computational methods in biomedical research. Chapman and Hall/CRC: 323-370.
  16. Srivastava M. S., von Rosen T., von Rosen D. (2008): Models with a Kronecker product covariance structure: estimation and testing. Math. Methods Stat. 17(4): 357-370.10.3103/S1066530708040066
  17. Ukalski K., Smiałowski T. (2011): Multivariate analysis of data from preliminary trials with winter rye. Biuletyn Instytutu Hodowli i Aklimatyzacji Roslin 260/261: 251-262.
DOI: https://doi.org/10.2478/bile-2014-0008 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811
Language: English
Page range: 103 - 114
Published on: Dec 20, 2014
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2014 Mirosław Krzysko, Tadeusz Smiałowski, Waldemar Wołynski, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.