<s>
Since	O
it	O
does	O
not	O
require	O
a	O
normal	O
distribution	O
of	O
the	O
data	O
,	O
it	O
is	O
one	O
of	O
the	O
non-parametric	B-General_Concept
methods	I-General_Concept
.	O
</s>
<s>
It	O
is	O
an	O
extension	O
of	O
the	O
Kruskal	B-General_Concept
–	I-General_Concept
Wallis	I-General_Concept
test	I-General_Concept
,	O
the	O
non-parametric	B-General_Concept
equivalent	O
for	O
one-way	O
analysis	B-General_Concept
of	I-General_Concept
variance	I-General_Concept
(	O
ANOVA	B-General_Concept
)	O
,	O
to	O
the	O
application	O
for	O
more	O
than	O
one	O
factor	O
.	O
</s>
<s>
The	O
Scheirer	B-General_Concept
–	I-General_Concept
Ray	I-General_Concept
–	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
is	O
analogous	O
to	O
the	O
parametric	B-General_Concept
multi-factorial	O
ANOVA	O
of	O
investigating	O
the	O
influence	O
of	O
two	O
different	O
factors	O
on	O
a	O
measure	O
for	O
which	O
different	O
samples	O
are	O
available	O
for	O
the	O
factors	O
.	O
</s>
<s>
As	O
with	O
the	O
parametric	B-General_Concept
analysis	B-General_Concept
of	I-General_Concept
variance	I-General_Concept
,	O
the	O
test	O
can	O
be	O
used	O
to	O
investigate	O
the	O
null	O
hypotheses	O
that	O
the	O
two	O
factors	O
examined	O
in	O
each	O
case	O
have	O
no	O
influence	O
on	O
the	O
positional	O
parameter	O
of	O
the	O
samples	O
and	O
thus	O
on	O
the	O
measure	O
,	O
and	O
that	O
there	O
are	O
no	O
interactions	O
between	O
the	O
two	O
factors	O
.	O
</s>
<s>
As	O
with	O
many	O
other	O
non-parametric	B-General_Concept
methods	I-General_Concept
,	O
the	O
analysis	O
in	O
this	O
method	O
relies	O
on	O
the	O
evaluation	O
of	O
the	O
ranks	O
of	O
the	O
samples	O
in	O
the	O
samples	O
rather	O
than	O
the	O
actual	O
observations	O
.	O
</s>
<s>
The	O
test	O
strength	O
of	O
the	O
Scheirer	B-General_Concept
–	I-General_Concept
Ray	I-General_Concept
–	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
,	O
i.e.	O
</s>
<s>
the	O
probability	O
of	O
actually	O
finding	O
a	O
statistically	O
significant	O
result	O
,	O
is	O
significantly	O
lower	O
than	O
that	O
of	O
the	O
parametric	B-General_Concept
multi-factorial	O
ANOVA	O
,	O
so	O
that	O
it	O
is	O
considered	O
more	O
conservative	O
in	O
comparison	O
of	O
both	O
methods	O
.	O
</s>
<s>
For	O
this	O
reason	O
,	O
and	O
because	O
the	O
method	O
was	O
described	O
later	O
than	O
most	O
other	O
parametric	B-General_Concept
and	O
non-parametric	B-General_Concept
variance	B-General_Concept
analysis	I-General_Concept
tests	O
,	O
it	O
has	O
found	O
little	O
use	O
in	O
textbooks	O
and	O
statistical	O
analysis	O
software	O
.	O
</s>
<s>
With	O
computer	O
programs	O
that	O
contain	O
a	O
function	O
for	O
parametric	B-General_Concept
multi-factorial	O
ANOVA	O
,	O
however	O
,	O
with	O
additional	O
manual	O
effort	O
and	O
a	O
calculation	O
of	O
the	O
Scheirer	B-General_Concept
Ray	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
is	O
possible	O
.	O
</s>
<s>
Since	O
the	O
Scheirer	B-General_Concept
–	I-General_Concept
Ray	I-General_Concept
–	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
only	O
makes	O
a	O
statement	O
about	O
the	O
diversity	O
of	O
all	O
samples	O
considered	O
,	O
it	O
makes	O
sense	O
to	O
perform	O
a	O
post-hoc	O
test	O
that	O
compares	O
the	O
individual	O
samples	O
in	O
pairs	O
.	O
</s>
<s>
The	O
parametric	B-General_Concept
alternative	O
to	O
the	O
Scheirer	B-General_Concept
–	I-General_Concept
Ray	I-General_Concept
–	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
is	O
multi-factorial	O
ANOVA	O
,	O
which	O
requires	O
a	O
normal	O
distribution	O
of	O
data	O
within	O
the	O
samples	O
.	O
</s>
<s>
The	O
Kruskal	B-General_Concept
–	I-General_Concept
Wallis	I-General_Concept
test	I-General_Concept
,	O
from	O
which	O
the	O
Scheirer	B-General_Concept
–	I-General_Concept
Ray	I-General_Concept
–	I-General_Concept
Hare	I-General_Concept
test	I-General_Concept
is	O
derived	O
,	O
serves	O
in	O
contrast	O
to	O
this	O
to	O
investigate	O
the	O
influence	O
of	O
exactly	O
one	O
factor	O
on	O
the	O
measured	O
variable	O
.	O
</s>
<s>
A	O
non-parametric	B-General_Concept
test	I-General_Concept
comparing	O
exactly	O
two	O
unpaired	O
samples	O
is	O
the	O
Wilcoxon	O
–	O
Mann	O
–	O
Whitney	O
test	O
.	O
</s>
