\HeaderA{vsnh}{A function that transforms a matrix of microarray intensities}{vsnh}
\begin{Description}\relax
A function that transforms a matrix of microarray intensities
\end{Description}
\begin{Usage}
\begin{verbatim}vsnh(y, p, strata)\end{verbatim}
\end{Usage}
\begin{Arguments}
\begin{ldescription}
\item[\code{y}] A numeric matrix containing intensity values from an array experiment. 
It may contain NA values.
\item[\code{p}] An array with the transformation parameters. If \code{strata} is
specified, it must be a 3d array, dim(p)[1] must be greater than or
equal to the maximum of \code{strata}, dim(p)[2] must be ncol(y),
and dim(p)[3] must be 2. If \code{strata} is missing, then the first
dimension may be omitted. NA values are not allowed. See Details.
\item[\code{strata}] Integer vector of length nrow(y). See 
\code{\LinkA{vsn}{vsn}} for details.
\end{ldescription}
\end{Arguments}
\begin{Details}\relax
The transformation is:

vsnh(y, p, s)[k, i] = asinh( p[s[k], i, 1] + p[s[k], i, 2] * y[k, i] )
- log(2*p[s[1], 1, 2])

where k=1:nrow(y) counts over the probes, 
i=1:ncol(y) counts over the samples,
p[s[k], i, 1] is the calibration offset for stratum s[k] in sample i,
p[s[k], i, 2] is the calibration factor for stratum s[k] in sample i,
and s[k] is the stratum of the the k-th probe.

The constant offset - log(2*p[s[1], 1, 2]) is there to make sure that
for large y, vsnh(y) for the first stratum on the first chip is
approximately the same as log(y). This has no effect on
the generalized log-ratios (glog-ratios), which are differences between
transformed intensities, but some users are more comfortable with the
absolute values that are obtained this way, since they are more
comparable to the log scale.
\end{Details}
\begin{Value}
A numeric matrix of the same size as y, with the transformed data.
\end{Value}
\begin{Author}\relax
Wolfgang Huber \url{http://www.ebi.ac.uk/huber}
\end{Author}
\begin{References}\relax
Variance stabilization applied to microarray data
calibration and to the quantification of differential expression,
Wolfgang Huber, Anja von Heydebreck, Holger Sueltmann, Annemarie
Poustka, Martin Vingron; Bioinformatics (2002) 18 Suppl.1 S96-S104.

Parameter estimation for the calibration and variance stabilization 
of microarray data, 
Wolfgang Huber, Anja von Heydebreck, Holger Sueltmann, 
Annemarie Poustka, and Martin Vingron;  
Statistical Applications in Genetics and Molecular Biology (2003)
Vol. 2 No. 1, Article 3.
http://www.bepress.com/sagmb/vol2/iss1/art3.
\end{References}
\begin{SeeAlso}\relax
\code{\LinkA{vsn}{vsn}}
\end{SeeAlso}
\begin{Examples}
\begin{ExampleCode}
data(kidney)
y      = exprs(kidney)
p      = array(c(-0.2, -0.1, 0.1, 0.2, 0.0026, 0.0028, 0.0030, 0.0032), dim=c(2,2,2))
strata = sample(1:2, nrow(y), replace=TRUE)
res1   = vsnh(exprs(kidney), p, strata)

res2   = asinh(p[strata,,1] + p[strata,,2] * y) - log(2*p[strata,1,2])

stopifnot(max(abs(res1 - res2)) < 1e-10)

\end{ExampleCode}
\end{Examples}