
812 Statistics and Data Analysis for Microarrays Using R and Bioconductor
be used directly to calculate the probability of observing n
12
genes of a cer-
tain functional category F in the selected subset given that there are n
11
such
genes on the microarray:
P (n
12
|n
11
) =
N
.2
N
.1
n
12
·
(n
11
+ n
12
)!
n
11
! · n
12
! ·
1 +
N
.2
N
.1
n
11
+n
12
+1
(23.8)
The p- values are calculated as a cumulative probability distribution function
(cdf) as follows [26, 296]:
p = min
(
k≤n
12
X
k=0
P (k|n
11
),
∞
X
k=n
12
P (k|n
11
)
)
(23.9)
Extensive simulations performed by Man et al. compared the chi-square
test for equality of proportions with Fisher’s exact test and Audic and
Claverie’s test and showed ...