Question: (Closed) Same results using fisher.test

0

sugus •

**20**wrote:Hi guys,

I want to use fisher.test() to perform association analysis but I meet a confused problem.

In a test data, different "alternative" will derive to different pValue

```
> fisher.test(c(1,0,1,0,0,0,1,1,1,1,1,1),c(1,0,1,1,1,1,0,0,1,0,0,0))
Fisher's Exact Test for Count Data
data: c(1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1) and c(1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0)
p-value = 0.5455
alternative hypothesis: true odds ratio is not equal to 1
95 percent confidence interval:
0.00319446 4.50042353
sample estimates:
odds ratio
0.230358
> fisher.test(c(1,0,1,0,0,0,1,1,1,1,1,1),c(1,0,1,1,1,1,0,0,1,0,0,0),alternative = "less")
Fisher's Exact Test for Count Data
data: c(1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1) and c(1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0)
p-value = 0.2727
alternative hypothesis: true odds ratio is less than 1
95 percent confidence interval:
0.000000 3.151343
sample estimates:
odds ratio
0.230358
```

But in a larger data which is also binary entries with 0 and 1, the pValue is perfectly the same! Why?

```
> as.numeric(x)
[1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0
[55] 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
[109] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[163] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[217] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
> as.numeric(y)
[1] 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1
[55] 1 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0
[109] 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1
[163] 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1
[217] 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1
> fisher.test(as.numeric(x),as.numeric(y),alternative = "two.side")
Fisher's Exact Test for Count Data
data: as.numeric(x) and as.numeric(y)
p-value = 0.0002977
alternative hypothesis: true odds ratio is not equal to 1
95 percent confidence interval:
0.001366782 0.412310161
sample estimates:
odds ratio
0.05916957
> fisher.test(as.numeric(x),as.numeric(y),alternative = "less")
Fisher's Exact Test for Count Data
data: as.numeric(x) and as.numeric(y)
p-value = 0.0002977
alternative hypothesis: true odds ratio is less than 1
95 percent confidence interval:
0.000000 0.337174
sample estimates:
odds ratio
0.05916957
```

Hope somebody could give this an explaination. Thx a lot!

CrossValidated is a better place for your question.

21kHello sugus!

We believe that this post does not fit the main topic of this site.

Not a bioinformatics question.

For this reason we have closed your question. This allows us to keep the site focused on the topics that the community can help with.

If you disagree please tell us why in a reply below, we'll be happy to talk about it.

Cheers!

21k