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- Title
Contaminated normal modeling with application to microarray data analysis.
- Authors
Dai, Hongying; Charnigo, Richard
- Abstract
A contaminated beta model (1 - γ)B(1, 1) + [sub γ]B(α, β) is often used to describe the distribution of P-values arising from a microarray experiment. The authors propose and examine a different approach: namely, using a contaminated normal model (1 - γ) N(0, σ²) + [sub γ]N(μ, σ²) to describe the distribution of Z statistics or suitably transformed T statistics. The authors then address whether a researcher who has Z statistics should analyze them using the contaminated normal model or whether the Z statistics should be converted to P-values to be analyzed using the contaminated beta model. The authors also provide a decision-theoretic perspective on the analysis of Z statistics.
- Subjects
MATHEMATICAL models; STATISTICS; MATHEMATICS; ECONOMICS; PROBABILITY theory
- Publication
Canadian Journal of Statistics, 2010, Vol 38, Issue 3, p315
- ISSN
0319-5724
- Publication type
Article
- DOI
10.1002/cjs.10053