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% File src/library/stats/man/shapiro.test.Rd
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% File src/library/stats/man/shapiro.test.Rd
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% Part of the R package, https://www.R-project.org
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% Part of the R package, https://www.R-project.org
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% Copyright 1995-2018 R Core Team
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% Copyright 1995-2025 R Core Team
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% Distributed under GPL 2 or later
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% Distributed under GPL 2 or later
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\name{shapiro.test}
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\name{shapiro.test}
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\alias{shapiro.test}
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\alias{shapiro.test}
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\title{\I{Shapiro}-\I{Wilk} Normality Test}
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\title{\I{Shapiro}-\I{Wilk} Normality Test}
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}
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}
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\value{
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\value{
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  A list with class \code{"htest"} containing the following components:
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  A list with class \code{"htest"} containing the following components:
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  \item{statistic}{the value of the \I{Shapiro}-\I{Wilk} statistic.}
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  \item{statistic}{the value of the \I{Shapiro}-\I{Wilk} statistic.}
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  \item{p.value}{an approximate p-value for the test.  This is
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  \item{p.value}{an approximate p-value for the test.  This is
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    said in \bibcite{Royston (1995)} to be adequate for \code{p.value < 0.1}.}
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    said in \bibcitet{R:Royston:1995} to be adequate for \code{p.value < 0.1}.}
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  \item{method}{the character string \code{"Shapiro-Wilk normality test"}.}
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  \item{method}{the character string \code{"Shapiro-Wilk normality test"}.}
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  \item{data.name}{a character string giving the name(s) of the data.}
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  \item{data.name}{a character string giving the name(s) of the data.}
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}
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}
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\references{
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  Patrick Royston (1982).
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  An extension of Shapiro and Wilk's \eqn{W} test for normality to large
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  samples.
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  \emph{Applied Statistics}, \bold{31}, 115--124.
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  \doi{10.2307/2347973}.
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  Patrick Royston (1982).
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  Algorithm AS 181: The \eqn{W} test for Normality.
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  \emph{Applied Statistics}, \bold{31}, 176--180.
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  \doi{10.2307/2347986}.
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  Patrick Royston (1995).
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  Remark AS R94: A remark on Algorithm AS 181: The \eqn{W} test for
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  normality.
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  \emph{Applied Statistics}, \bold{44}, 547--551.
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  \doi{10.2307/2986146}.
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}
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\source{
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\source{
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  The algorithm used is a C translation of the Fortran code described in
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  The algorithm used is a C translation of the Fortran code described in
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  Royston (1995). % and was found at \url{http://lib.stat.cmu.edu/apstat/R94}.
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  \bibcitet{R:Royston:1995}. % and was found at \url{http://lib.stat.cmu.edu/apstat/R94}.
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  The calculation of the p value is exact for \eqn{n = 3}, otherwise
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  The calculation of the p value is exact for \eqn{n = 3}, otherwise
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  approximations are used, separately for \eqn{4 \le n \le 11} and
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  approximations are used, separately for \eqn{4 \le n \le 11} and
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  \eqn{n \ge 12}.
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  \eqn{n \ge 12}.
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}
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}
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\references{
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  \bibshow{*, R:Royston:1982a, R:Royston:1982b}
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}
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\seealso{
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\seealso{
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  \code{\link{qqnorm}} for producing a normal quantile-quantile plot.
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  \code{\link{qqnorm}} for producing a normal quantile-quantile plot.
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}
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}
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% FIXME: could use something more interesting here
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% FIXME: could use something more interesting here
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\examples{
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\examples{