# [R] Odds ratio in fisher.test()

From: Andrew Criswell (arc@arcriswell.com)
Date: Wed 26 Feb 2003 - 15:10:41 EST

```Message-id: <003401c2dd4d\$092316b0\$4dd994cb@andrewhdh0e5oe>

```

Hello:

difference between what I believe is the conventional definition of an
odds ratio for a 2-by-2 table and the output produced by fisher.test()
in R. Consider the following example:

> Discrim <- matrix(c(1,10,24,17),
+ nr = 2,
+ dimnames = list(AGE = c('young', 'old'),
+ EMPLOY = c('fired', 'kept')))
> Discrim
EMPLOY
AGE fired kept
young 1 24
old 10 17

The conventional odds ratio is computed as

> (1 * 17) / (24 * 10)
[1] 0.07083333

Why is it, when I use fisher.test(), I get an estimated odds ratio like
that reported below? There, the difference seems slight, but with other
cases it can be quite large.

> fisher.test(Discrim, alternative = 'two.sided')

Fisher's Exact Test for Count Data

data: Discrim
p-value = 0.005242
alternative hypothesis: true odds ratio is not equal to 1
95 percent confidence interval:
0.001573963 0.606416320
sample estimates:
odds ratio
0.07407528

Thanks,
ANDREW

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