61
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

A Robust Maximal F-Ratio Statistic to Detect Clusters Structure

, , &
Pages 682-694 | Received 21 Sep 2007, Accepted 19 Jun 2008, Published online: 13 Feb 2009

References

  • Bock , H. H. ( 1996 ). Probabilistic models in cluster analysis . Computat. Statist. Data Anal. 23 : 5 – 28 .
  • Calinski , R. B. , Harabasz , J. ( 1974 ). A Dendrite method for cluster analysis . Commun. Statist. 3 : 1 – 27 .
  • Cuesta-Albertos , J. A. , Gordaliza , A. , Matrán , C. ( 1997 ). Trimmed k-means: an attempt to robustify quantizers . Ann. Statist. 25 : 553 – 576 .
  • Dettling , M. , Bühlmann , P. ( 2004 ). Finding predictive gene groups from microarray data . J. Multivariate Anal. 90 : 106 – 131 .
  • Dudoit , S. , Fridlyand , J. , Speed , T. P. ( 2002 ). Comparison of discriminations methods for the classification of tumors using gene expression data . J. Amer. Statist. Assoc. 97 : 77 – 87 .
  • Engelman , L. , Hartigan , J. A. ( 1969 ). Percentage points of a test for clusters . J. Amer. Statist. Assoc. 64 : 1647 – 1648 .
  • García-Escudero , L. A. , Gordaliza , A. ( 1999 ). Robustness properties of k-means and trimmed k-means . J. Amer. Statist. Assoc. 94 : 956 – 969 .
  • García-Escudero , L. A. , Gordaliza , A. , Matrán , C. ( 1999 ). A central limit theorem for multivariate generalized trimmed k-means . Ann. Statist. 27 : 1061 – 1079 .
  • García-Escudero , L. A. , Gordaliza , A. , Matrán , C. ( 2003 ). Trimming tools in exploratory data analysis . J. Computat. Graph. Statist. 12 : 434 – 449 .
  • Golub , T. R. , Slonim , D. K. , Tamayo , P. , Huard , C. , Gaasenbeek , M. , Mesirov , J. P. , Coller , H. , Loh , M. , Downing , J. R. , Caligiuri , M. A. , Bloomfield , C. D. , Lander , E. S. ( 1999 ). Molecular classification of cancer: class discovery and class prediction by gene expression . Science 286 : 531 – 537 .
  • Gordaliza , A. ( 1991 ). On the breakdown point of multivariate location estimators based on trimming procedures . Statist. Probab. Lett. 11 : 387 – 394 .
  • Hartigan , J. A. ( 1978 ). Asymptotic distribution for clustering criteria . Ann. Statist. 6 : 117 – 131 .
  • Huber , P. J. ( 1981 ). Robust Statistics . New York : Wiley .
  • Lee , K. L. ( 1979 ). Multivariate tests for clusters . J. Amer. Statist. Assoc. 74 : 708 – 714 .
  • Milligan , G. W. , Cooper , M. C. ( 1985 ). An examination of procedures for determining the number of clusters in a data set . Psychometrika 50 : 159 – 179 .
  • Pollard , D. ( 1981 ). Strong consistency of k-means clustering . Ann. Probab. 9 : 135 – 140 .
  • Pollard , D. ( 1982 ). A central limit theorem for k-means clustering . Ann. Probab. 10 : 919 – 926 .
  • Van der Vaart , A. W. , Wellner , J. A. ( 1996 ). Weak Convergence and Empirical Processes . New York : Wiley .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.