How do you arrive at this answer? \" GO-Slim \" is a reduced subset of the Gene

Question

How do you arrive at this answer?

"GO-Slim" is a reduced subset of the Gene Ontology that is used for very basic annotation. As of 2017 it contains only 150 terms.

Suppose I have identified a set of transcripts that are differentially regulated in an experiment that I performed. I want to see if these transcripts are enriched for any of the 150 terms in GO-Slim.

I have a frequentist significance test for statistical enrichment that I can perform on each of the 150 terms, and I can choose the significance threshold (p-value) to use for this test. In choosing this threshold I apply the Sidak correction to correct for the fact that I am repeating the test 150 times.

If I want the overall p-value for all of GO-Slim to be 0.05, what p-value should I use as a significance threshold when testing each individual term? Give your answer to one significant figure.

ANSWER: 0.0003

Explanation / Answer

let significance level for each indiviudal =p

therefore type I error =probability that at least one subset will get rejected when it should not=0.05

1-P(none will get rejected)=0.05

1-(1-p)150 =0.05

(1-p)150 =0.95

(1-p)=(0.95)1/150

1-p=0.9997

p=1-0.9997=0.0003

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