[R] Comparing two groups of proportions

From: Ivan Adzhubey <iadzhubey_at_rics.bwh.harvard.edu>
Date: Mon, 09 Jun 2008 18:28:22 -0400


Hi,

I have a seemingly common problem but I can't find a proper way to approach it. Let's say we have 5 samples (different size) of IC circuits coming from 5 production lines (A, B, C, D, E). We apply two different non-destructive QA procedures to each sample, producing to sets of binary outcomes (passed: no/yes). So, we have two groups of proportions:

	QA1		QA2
	no/yes	no/yes
A	10/90	8/92
B	5/15		7/13
C	1/79		2/78
D	12/38	10/40
E	3/7		1/9

How would I test if the two QA procedures in question give significantly different results, at the same time controlling for the possible production line contribution? It looks like there are many variants of multiple proportions tests available in R and various extra packages but none seems to exactly fit this very simple problem. I would appreciate any advice.

Thanks,
Ivan

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