IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v26y1999i1p59-67.html
   My bibliography  Save this article

Antedependence models in the analysis of multi-group high-dimensional data

Author

Listed:
  • W. J. Krzanowski

Abstract

Antedependence modelling has previously been shown to be useful for twogroup discriminant analysis of high-dimensional data. In this paper, the theory of such models is extended to multi-group discriminant analysis and to canonical variate analysis for data display. The application of antedependence models of orders 1, 2 and 3 to spectroscopic analyses of rice samples is described, and the results are compared with those from standard methods based on principal component scores calculated from the data.

Suggested Citation

  • W. J. Krzanowski, 1999. "Antedependence models in the analysis of multi-group high-dimensional data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(1), pages 59-67.
    • Handle: RePEc:taf:japsta:v:26:y:1999:i:1:p:59-67
    DOI: 10.1080/02664769922656
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664769922656
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664769922656?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. W. J. Krzanowski & P. Jonathan & W. V. McCarthy & M. R. Thomas, 1995. "Discriminant Analysis with Singular Covariance Matrices: Methods and Applications to Spectroscopic Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 44(1), pages 101-115, March.
    2. Michael G. Kenward, 1987. "A Method for Comparing Profiles of Repeated Measurements," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 296-308, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nickolay T. Trendafilov & Tsegay Gebrehiwot Gebru, 2016. "Recipes for sparse LDA of horizontal data," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 207-221, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. S. Robin & M. Lecomte & H. Hofte & G. Mouille, 2003. "A procedure for the clustering of cell wall mutants in the model plant Arabidopsis based on Fourier-transform infrared (FT-IR) spectroscopy," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(6), pages 669-681.
    2. Dengke Xu & Zhongzhan Zhang & Liucang Wu, 2014. "Bayesian analysis of joint mean and covariance models for longitudinal data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(11), pages 2504-2514, November.
    3. Bouveyron, C. & Girard, S. & Schmid, C., 2007. "High-dimensional data clustering," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 502-519, September.
    4. Vicente Núñez-Antón & Dale L. Zimmerman, 2000. "Modeling Nonstationary Longitudinal Data," Biometrics, The International Biometric Society, vol. 56(3), pages 699-705, September.
    5. Li, Erning & Pourahmadi, Mohsen, 2013. "An alternative REML estimation of covariance matrices in linear mixed models," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1071-1077.
    6. Rauf Ahmad, M. & Werner, C. & Brunner, E., 2008. "Analysis of high-dimensional repeated measures designs: The one sample case," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 416-427, December.
    7. Brendan P. W. Ames & Mingyi Hong, 2016. "Alternating direction method of multipliers for penalized zero-variance discriminant analysis," Computational Optimization and Applications, Springer, vol. 64(3), pages 725-754, July.
    8. Carter, Christopher K. & Wong, Frederick & Kohn, Robert, 2011. "Constructing priors based on model size for nondecomposable Gaussian graphical models: A simulation based approach," Journal of Multivariate Analysis, Elsevier, vol. 102(5), pages 871-883, May.
    9. Nickolay T. Trendafilov & Tsegay Gebrehiwot Gebru, 2016. "Recipes for sparse LDA of horizontal data," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 207-221, August.
    10. Kenward, Michael G. & Roger, James H., 2009. "An improved approximation to the precision of fixed effects from restricted maximum likelihood," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2583-2595, May.
    11. Duintjer Tebbens, Jurjen & Schlesinger, Pavel, 2007. "Improving implementation of linear discriminant analysis for the high dimension/small sample size problem," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 423-437, September.
    12. Lei-Hong Zhang & Li-Zhi Liao & Michael K. Ng, 2013. "Superlinear Convergence of a General Algorithm for the Generalized Foley–Sammon Discriminant Analysis," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 853-865, June.
    13. R. W. Payne, 2003. "DAVIES, C. S. Statistical Methods for the Analysis of Repeated Measurements. Springer, New York, 2002. xxiv + 415 pp. $79.95/£56.00. ISBN 0-387-95370-1," Biometrics, The International Biometric Society, vol. 59(1), pages 205-206, March.
    14. Mkhadri, A. & Celeux, G. & Nasroallah, A., 1997. "Regularization in discriminant analysis: an overview," Computational Statistics & Data Analysis, Elsevier, vol. 23(3), pages 403-423, January.
    15. Karim, Md Aktar Ul & Bhagat, Supriya Ramdas & Bhowmick, Amiya Ranjan, 2022. "Empirical detection of parameter variation in growth curve models using interval specific estimators," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    16. Arūnas P. Verbyla & Joanne Faveri & John D. Wilkie & Tom Lewis, 2018. "Tensor Cubic Smoothing Splines in Designed Experiments Requiring Residual Modelling," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(4), pages 478-508, December.
    17. Casper Albers & John Gower, 2014. "Canonical Analysis: Ranks, Ratios and Fits," Journal of Classification, Springer;The Classification Society, vol. 31(1), pages 2-27, April.
    18. Paul Zhang, 2005. "Multiple imputation of missing data with ante-dependence covariance structure," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(2), pages 141-155.
    19. Albers, C.J. & Critchley, F. & Gower, J.C., 2011. "Applications of quadratic minimisation problems in statistics," Journal of Multivariate Analysis, Elsevier, vol. 102(3), pages 714-722, March.
    20. Mohsen Pourahmadi, 2002. "Graphical Diagnostics for Modeling Unstructured Covariance Matrices," International Statistical Review, International Statistical Institute, vol. 70(3), pages 395-417, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:japsta:v:26:y:1999:i:1:p:59-67. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.