<s>
In	O
probability	O
theory	O
,	O
a	O
continuity	B-General_Concept
correction	I-General_Concept
is	O
an	O
adjustment	O
that	O
is	O
made	O
when	O
a	O
discrete	O
distribution	O
is	O
approximated	O
by	O
a	O
continuous	O
distribution	O
.	O
</s>
<s>
This	O
addition	O
of	O
1/2	O
to	O
x	O
is	O
a	O
continuity	B-General_Concept
correction	I-General_Concept
.	O
</s>
<s>
A	O
continuity	B-General_Concept
correction	I-General_Concept
can	O
also	O
be	O
applied	O
when	O
other	O
discrete	O
distributions	O
supported	O
on	O
the	O
integers	O
are	O
approximated	O
by	O
the	O
normal	O
distribution	O
.	O
</s>
<s>
Before	O
the	O
ready	O
availability	O
of	O
statistical	B-Algorithm
software	I-Algorithm
having	O
the	O
ability	O
to	O
evaluate	O
probability	O
distribution	O
functions	O
accurately	O
,	O
continuity	B-General_Concept
corrections	I-General_Concept
played	O
an	O
important	O
role	O
in	O
the	O
practical	O
application	O
of	O
statistical	O
tests	O
in	O
which	O
the	O
test	O
statistic	O
has	O
a	O
discrete	O
distribution	O
:	O
it	O
had	O
a	O
special	O
importance	O
for	O
manual	O
calculations	O
.	O
</s>
<s>
A	O
particular	O
example	O
of	O
this	O
is	O
the	O
binomial	B-General_Concept
test	I-General_Concept
,	O
involving	O
the	O
binomial	O
distribution	O
,	O
as	O
in	O
checking	B-General_Concept
whether	I-General_Concept
a	I-General_Concept
coin	I-General_Concept
is	I-General_Concept
fair	I-General_Concept
.	O
</s>
<s>
Where	O
extreme	O
accuracy	O
is	O
not	O
necessary	O
,	O
computer	O
calculations	O
for	O
some	O
ranges	O
of	O
parameters	O
may	O
still	O
rely	O
on	O
using	O
continuity	B-General_Concept
corrections	I-General_Concept
to	O
improve	O
accuracy	O
while	O
retaining	O
simplicity	O
.	O
</s>
