H3_sol - ECEN 689 Statistical Computation in Genomic Signal...

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Unformatted text preview: ECEN 689 - Statistical Computation in Genomic Signal Processing Fall 2009 Homework 3 – Solutions 1. Suppose that α P > α M . The discrimination score R will be constant over all the probe pairs, with value R = α P- α M α P + α M > The detection algorithm uses the Wilcoxon test to test whether R > . 015. This corre- sponds to the R call wilcox.test(R,mu=0.015,alternative="greater") The p-value will depend only on the sample size and whether R is greater than, equal to, or less than 0 . 015; the actual value of R does not matter (since the test is based on ranks). For R ≤ . 015, the p-value will be very close to 1, or equal to 1, for all n ≥ 2, and the probe set is always called “absent.” For R > . 015, the call is not automatically “present”; the answer will depend on the sample size (here, number of probe pairs). We observe that for n = 2 and n = 3, we obtain p = 0 . 1729 and p = 0 . 0746, respectively, with p < . 04, for all n ≥ 4. Therefore, provided that there is at least 4 probe pairs in each probe set (which4....
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This note was uploaded on 03/30/2010 for the course ECEN 689-601 taught by Professor Staff during the Fall '10 term at Texas A&M.

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H3_sol - ECEN 689 Statistical Computation in Genomic Signal...

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