<s>
In	O
statistics	O
,	O
Deming	B-Algorithm
regression	I-Algorithm
,	O
named	O
after	O
W	O
.	O
Edwards	O
Deming	O
,	O
is	O
an	O
errors-in-variables	B-Algorithm
model	I-Algorithm
which	O
tries	O
to	O
find	O
the	O
line	O
of	O
best	O
fit	O
for	O
a	O
two-dimensional	O
dataset	O
.	O
</s>
<s>
It	O
differs	O
from	O
the	O
simple	B-General_Concept
linear	I-General_Concept
regression	I-General_Concept
in	O
that	O
it	O
accounts	O
for	O
errors	O
in	O
observations	O
on	O
both	O
the	O
x	O
-	O
and	O
the	O
y	O
-	O
axis	O
.	O
</s>
<s>
It	O
is	O
a	O
special	O
case	O
of	O
total	B-Algorithm
least	I-Algorithm
squares	I-Algorithm
,	O
which	O
allows	O
for	O
any	O
number	O
of	O
predictors	O
and	O
a	O
more	O
complicated	O
error	O
structure	O
.	O
</s>
<s>
Deming	B-Algorithm
regression	I-Algorithm
is	O
equivalent	O
to	O
the	O
maximum	O
likelihood	O
estimation	O
of	O
an	O
errors-in-variables	B-Algorithm
model	I-Algorithm
in	O
which	O
the	O
errors	O
for	O
the	O
two	O
variables	O
are	O
assumed	O
to	O
be	O
independent	O
and	O
normally	O
distributed	O
,	O
and	O
the	O
ratio	O
of	O
their	O
variances	O
,	O
denoted	O
δ	O
,	O
is	O
known	O
.	O
</s>
<s>
The	O
Deming	B-Algorithm
regression	I-Algorithm
is	O
only	O
slightly	O
more	O
difficult	O
to	O
compute	O
than	O
the	O
simple	B-General_Concept
linear	I-General_Concept
regression	I-General_Concept
.	O
</s>
<s>
Most	O
statistical	O
software	O
packages	O
used	O
in	O
clinical	O
chemistry	O
offer	O
Deming	B-Algorithm
regression	I-Algorithm
.	O
</s>
<s>
The	O
latter	O
book	O
became	O
so	O
popular	O
in	O
clinical	O
chemistry	O
and	O
related	O
fields	O
that	O
the	O
method	O
was	O
even	O
dubbed	O
Deming	B-Algorithm
regression	I-Algorithm
in	O
those	O
fields	O
.	O
</s>
<s>
For	O
the	O
case	O
of	O
equal	O
error	O
variances	O
,	O
i.e.	O
,	O
when	O
,	O
Deming	B-Algorithm
regression	I-Algorithm
becomes	O
orthogonal	O
regression	O
:	O
it	O
minimizes	O
the	O
sum	O
of	O
squared	O
perpendicular	O
distances	O
from	O
the	O
data	O
points	O
to	O
the	O
regression	O
line	O
.	O
</s>
<s>
The	O
quantification	O
of	O
a	O
biological	O
cell	O
's	O
intrinsic	O
cellular	O
noise	O
can	O
be	O
quantified	O
upon	O
applying	O
Deming	B-Algorithm
regression	I-Algorithm
to	O
the	O
observed	O
behavior	O
of	O
a	O
two	O
reporter	O
synthetic	O
biological	O
circuit	O
.	O
</s>
<s>
The	O
York	O
regression	O
extends	O
Deming	B-Algorithm
regression	I-Algorithm
by	O
allowing	O
correlated	O
errors	O
in	O
x	O
and	O
y	O
.	O
</s>
