Skip to main content
Journal cover image

Shrinkage-based diagonal discriminant analysis and its applications in high-dimensional data.

Publication ,  Journal Article
Pang, H; Tong, T; Zhao, H
Published in: Biometrics
December 2009

High-dimensional data such as microarrays have brought us new statistical challenges. For example, using a large number of genes to classify samples based on a small number of microarrays remains a difficult problem. Diagonal discriminant analysis, support vector machines, and k-nearest neighbor have been suggested as among the best methods for small sample size situations, but none was found to be superior to others. In this article, we propose an improved diagonal discriminant approach through shrinkage and regularization of the variances. The performance of our new approach along with the existing methods is studied through simulations and applications to real data. These studies show that the proposed shrinkage-based and regularization diagonal discriminant methods have lower misclassification rates than existing methods in many cases.

Duke Scholars

Published In

Biometrics

DOI

EISSN

1541-0420

Publication Date

December 2009

Volume

65

Issue

4

Start / End Page

1021 / 1029

Location

England

Related Subject Headings

  • Statistics & Probability
  • Oligonucleotide Array Sequence Analysis
  • Neoplasms
  • Multiple Myeloma
  • Humans
  • Discriminant Analysis
  • Biometry
  • 4905 Statistics
  • 0199 Other Mathematical Sciences
  • 0104 Statistics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Pang, H., Tong, T., & Zhao, H. (2009). Shrinkage-based diagonal discriminant analysis and its applications in high-dimensional data. Biometrics, 65(4), 1021–1029. https://doi.org/10.1111/j.1541-0420.2009.01200.x
Pang, Herbert, Tiejun Tong, and Hongyu Zhao. “Shrinkage-based diagonal discriminant analysis and its applications in high-dimensional data.Biometrics 65, no. 4 (December 2009): 1021–29. https://doi.org/10.1111/j.1541-0420.2009.01200.x.
Pang, Herbert, et al. “Shrinkage-based diagonal discriminant analysis and its applications in high-dimensional data.Biometrics, vol. 65, no. 4, Dec. 2009, pp. 1021–29. Pubmed, doi:10.1111/j.1541-0420.2009.01200.x.
Pang H, Tong T, Zhao H. Shrinkage-based diagonal discriminant analysis and its applications in high-dimensional data. Biometrics. 2009 Dec;65(4):1021–1029.
Journal cover image

Published In

Biometrics

DOI

EISSN

1541-0420

Publication Date

December 2009

Volume

65

Issue

4

Start / End Page

1021 / 1029

Location

England

Related Subject Headings

  • Statistics & Probability
  • Oligonucleotide Array Sequence Analysis
  • Neoplasms
  • Multiple Myeloma
  • Humans
  • Discriminant Analysis
  • Biometry
  • 4905 Statistics
  • 0199 Other Mathematical Sciences
  • 0104 Statistics