\HeaderA{AUC}{functionals of ROC curve}{AUC}
\aliasA{AUCi}{AUC}{AUCi}
\aliasA{pAUC}{AUC}{pAUC}
\aliasA{pAUCi}{AUC}{pAUCi}
\aliasA{ROC}{AUC}{ROC}
\keyword{models}{AUC}
\begin{Description}\relax
various functionals of ROC (Receiver Operating
Characteristic) curves
\end{Description}
\begin{Usage}
\begin{verbatim}
AUC(rocobj)
AUCi(rocobj)
pAUC(rocobj,t0)
pAUCi(rocobj,t0)
\end{verbatim}
\end{Usage}
\begin{Arguments}
\begin{ldescription}
\item[\code{rocobj}] element of class rocc
\item[\code{t0}] FPR point at which TPR is evaluated 
or limit in (0,1) to integrate to
\end{ldescription}
\end{Arguments}
\begin{Details}\relax
AUC, pAUC, AUCi and pAUCi compute the Area Under the Curve.

AUC and pAUC employ the trapezoidal rule.  AUCi and pAUCi use
integrate().

AUC and AUCi compute the area under the curve from 0 to 1 on the x-axis
(i.e., the 1 - specificity axis).

pAUC and pAUCi compute the are under the curve from 0 to argument t0 on
the x-axis (i.e., the 1 - specificity axis).

Elements of class rocc can be created by rocdemo.sca() or
other constructors you might make using the code of rocdemo.sca()
as a template.
\end{Details}
\begin{Value}
\end{Value}
\begin{Note}\relax
\end{Note}
\begin{Author}\relax
Vince Carey (stvjc@channing.harvard.edu)
\end{Author}
\begin{References}\relax
Rosner, B., 2000, \emph{Fundamentals of Biostatistics, 5th Ed.},
pp. 63--65

Duda, R. O., Hart, P. E., Stork, D. G., 2001 \emph{Pattern
Classification, 2nd Ed.}, p. 49
\end{References}
\begin{SeeAlso}\relax
rocdemo.sca
\end{SeeAlso}
\begin{Examples}
\begin{ExampleCode}
set.seed(123)
R1 <- rocdemo.sca( rbinom(40,1,.3), rnorm(40), dxrule.sca,
   caseLabel="new case", markerLabel="demo Marker" )
print(AUC(R1))
print(pAUC(R1,.3))
print(pAUCi(R1,.3))
print(ROC(R1,.3))
\end{ExampleCode}
\end{Examples}