Testing unilateral versus bilateral normal contamination

Richard Charnigo, Qian Fan, Douglas Bittel, Hongying Dai

Research output: Contribution to journalArticlepeer-review


This letter proposes modeling a large collection of test statistics, such as may arise in microarray data analysis, using a mixture of three normal distributions: one with mean zero, one with nonnegative mean, and one with nonpositive mean. A convenient procedure is established for testing whether this three-component mixture may be reduced to a two-component mixture with one nonzero component mean.

Original languageEnglish
Pages (from-to)163-167
Number of pages5
JournalStatistics and Probability Letters
Issue number1
StatePublished - Jan 2013


  • Down's syndrome
  • Gene expression
  • Microarray
  • Mixture model

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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