Two problems in high dimensional statistics

Michael Newton, UW Madison

Chicago, April 14, 2014

Copyright M.A. Newton

ranking and selection

gene set analysis

r-value

multi-functional analyzer

Nick Henderson Zhishi Wang

Qiuling He Bret Larget

• non-sparse, large-scale• ranking and variance/uncertainty artifacts• agreement• empirical Bayes • r-values

outline

arXiv:1312.5776

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●0.01 0.02 0.05 0.10

0.05

0.10

0.15

0.20

0.25

0.30

0.35

Standard Error

Log

Odd

s

Example Type 2 Diabetes (T2D) GWAS (Morris et al. 2012, Nat Gen)

• large-scale case/control (22,669 / 58,119)

• lots of T2D associated loci, but of small effect

(3371 SNPs shown)

• ?how to rank order?

log

odds

ratio

arXiv:1312.5776

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