<s>
In	O
multivariate	B-General_Concept
statistics	I-General_Concept
,	O
the	O
congruence	B-Algorithm
coefficient	I-Algorithm
is	O
an	O
index	O
of	O
the	O
similarity	O
between	O
factors	O
that	O
have	O
been	O
derived	O
in	O
a	O
factor	O
analysis	O
.	O
</s>
<s>
It	O
is	O
also	O
called	O
Tucker	O
's	O
congruence	B-Algorithm
coefficient	I-Algorithm
after	O
Ledyard	O
Tucker	O
who	O
popularized	O
the	O
technique	O
.	O
</s>
<s>
Generally	O
,	O
a	O
congruence	B-Algorithm
coefficient	I-Algorithm
of	O
0.90	O
is	O
interpreted	O
as	O
indicating	O
a	O
high	O
degree	O
of	O
factor	O
similarity	O
,	O
while	O
a	O
coefficient	O
of	O
0.95	O
or	O
higher	O
indicates	O
that	O
the	O
factors	O
are	O
virtually	O
identical	O
.	O
</s>
<s>
The	O
congruence	B-Algorithm
coefficient	I-Algorithm
can	O
also	O
be	O
defined	O
as	O
the	O
cosine	O
of	O
the	O
angle	O
between	O
factor	O
axes	O
based	O
on	O
the	O
same	O
set	O
of	O
variables	O
(	O
e.g.	O
,	O
tests	O
)	O
obtained	O
for	O
two	O
samples	O
(	O
see	O
Cosine	O
similarity	O
)	O
.	O
</s>
<s>
The	O
congruence	B-Algorithm
coefficient	I-Algorithm
is	O
preferred	O
to	O
Pearson	O
's	O
r	O
as	O
a	O
measure	O
of	O
factor	O
similarity	O
,	O
because	O
the	O
latter	O
may	O
produce	O
misleading	O
results	O
.	O
</s>
<s>
The	O
computation	O
of	O
the	O
congruence	B-Algorithm
coefficient	I-Algorithm
is	O
based	O
on	O
the	O
deviations	O
of	O
factor	O
loadings	O
from	O
zero	O
,	O
whereas	O
r	O
is	O
based	O
on	O
the	O
deviations	O
from	O
the	O
mean	O
of	O
the	O
factor	O
loadings	O
.	O
</s>
