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Autor
Krzyśko Mirosław (Adam Mickiewicz University in Poznań, Poland), Łukaszonek Wojciech (The President Stanisław Wojciechowski State University of Applied Sciences in Kalisz), Wołyński Waldemar (Adam Mickiewicz University in Poznań, Poland)
Tytuł
Canonical Correlation Analysis in the Case of Multivariate Repeated Measures Data
Źródło
Statistics in Transition, 2018, vol. 19, nr 1, s. 75-85, rys., tab., bibliogr. s. 84-85
Słowa kluczowe
Analiza korelacji, Metoda największej wiarygodności
Correlation analysis, Maximum likelihood estimation
Uwagi
summ.
Abstrakt
In this paper, we present, in the real example, canonical variables applicable in the case of multivariate repeated measures data under the following assumptions: (1) multivariate normality for the vector of observations and (2) Kronecker product structure of the positive definite covariance matrix. These variables are especially useful when the number of observations is not large enough to estimate the covariance matrix, and thus the traditional canonical variables fail. Computational schemes for maximum likelihood estimates of required parameters are also given. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Pełny tekst
Pokaż
Bibliografia
Pokaż
  1. DERĘGOWSKI, K., KRZYŚKO, M., (2009). Principal component analysis in the case of multivariate repeated measures data, Biometrical Letters, 46 (2), pp. 163-172.
  2. GALECKI, A. T., (1994). General class of covariance structures for two or more repeated factors in longitudinal data analysis, Communications in Statistics -Theory and Methods, 23, pp. 3105-3119.
  3. GIRI, N. C., (1996). Multivariate Statistical Analysis, Marcel Dekker, New York.
  4. HOTELLING, H., (1936). Relations between two sets of variates, Biometrika, 28, pp. 321-377.
  5. KRZYŚKO, M., SKORZYBUT, M., (2009). Discriminant analysis of multivariate repeated measures data with a Kronecker product structured covariance matrices, Statistical papers, 50, 817-835.
  6. KRZYSKO, M., MĄDRY, W., PLUTA, S., SKORZYBUT, M., WOŁYŃSKI, W., (2010). Analysis of multivariate repeated measures data, Colloquium Biometricum, 40, pp. 117-133.
  7. KRZYSKO, M., SKORZYBUT, M., WOŁYŃSKI, W., (2011). Classifiers for doubly multivariate data, Discussiones Mathematicae. Probability and Statistics, 31, pp. 5-27.
  8. KRZYSKO, M., SMIAŁOWSKI, T., WOŁYIŃSKI, W., (2014). Analysis of multivariate repeated measures data using a MANOVA model and principal components, Biometrical Letters, 51 (2), pp. 103-124.
  9. LANCASTER, P., TISMENETSKY, M., (1985). The Theory of Matrices, Second Edition: With Applications. Academic Press, Orlando.
  10. MCCOLLUM, R., (2010). Canonical correlation analysis for longitudinal data. Ph.D. thesis, Old Dominion University.
  11. NAIK, D. N., RAO, S., (2001). Analysis of multivariate repeated measures data with a Kronecker product structured covariance matrix, J. Appl. Statist., 28, pp. 91-105.
  12. ORTEGA, J. M., (1987). Matrix Theory: A Second Course. Plenum Press, New York.
  13. R CORE TEAM (2017). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/.
  14. ROY, A., KHATTREE, R., (2005). On discrimination and classification with multivariate repeated measures data, Journal of Statistical Planning and Inference, 134, pp. 462- 485.
  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, pp. 323-370.
  16. SRIVASTAVA, J., Naik, D. N., (2008). Canonical correlation analysis of longitudinal data, Denver JSM 2008 Proceedings, Biometrics Section, pp. 563-568.
  17. 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), pp. 357-370.
Cytowane przez
Pokaż
ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2018-005
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