Block-diagonal discriminant analysis and its bias-corrected rules

Herbert Pang, Tiejun TONG*, Kwok Po NG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

High-throughput expression profiling allows simultaneous measure of tens of thousands of genes at once. These data have motivated the development of reliable biomarkers for disease subtypes identification and diagnosis. Many methods have been developed in the literature for analyzing these data, such as diagonal discriminant analysis, support vector machines, and k-nearest neighbor methods. The diagonal discriminant methods have been shown to perform well for high-dimensional data with small sample sizes. Despite its popularity, the independence assumption is unlikely to be true in practice. Recently, a gene module based linear discriminant analysis strategy has been proposed by utilizing the correlation among genes in discriminant analysis. However, the approach can be underpowered when the samples of the two classes are unbalanced. In this paper, we propose to correct the biases in the discriminant scores of blockdiagonal discriminant analysis. In simulation studies, our proposed method outperforms other approaches in various settings. We also illustrate our proposed discriminant analysis method for analyzing microarray data studies.

Original languageEnglish
Pages (from-to)347-359
Number of pages13
JournalStatistical Applications in Genetics and Molecular Biology
Volume12
Issue number3
DOIs
Publication statusPublished - Jun 2013

Scopus Subject Areas

  • Statistics and Probability
  • Molecular Biology
  • Genetics
  • Computational Mathematics

User-Defined Keywords

  • Bias-correction
  • Block-diagonal
  • Classification
  • High-dimensional data
  • Linear discriminant analysis

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