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Calculating Odds Ratios For Major Alleles

Is it possible to calculate the odds ratio for the major allele when the odds ratio for the minor allele is reported? For example for the gene CLU (http://www.alzgene.org/meta.asp?geneID=323) the reported odds ratio for the minor allele is 0.89 but what would the odds ratio for major allele be?

allele

Finding the odds ratio for the major allele when you have the odds ratio for the minor allele is straighforward.

Take the reciprocal

OR_of_majallele=1/OR_of_minallele

My additional question is how to get the standard error of the major allele - a straightforward reciprocal doesn't work. But the reciprocal of the upper and lower bound of a confidence interval (mean+1SE for simplicity) might...?

Does this work..?

SE_of_majallele=(((1/(OR_of_minallele-SE_of_minallele))-(1/(OR_of_minallele-SE_of_minallele)))/2

1 answer

Discovered this is called the reciprocal odds ratio.

http://en.wikipedia.org/wiki/Odds_ratio#Invertibility_and_invariance

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