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% file se.contrast.Rd% copyright (C) 1998 B. D. Ripley%\name{se.contrast}\title{Standard Errors for Contrasts in Model Terms}\usage{se.contrast(object, \dots)se.contrast.aov(x, contrast.obj,coef = contr.helmert(ncol(contrast))[, 1], data = NULL)se.contrast.aovlist(\dots)}\alias{se.contrast}\alias{se.contrast.aov}\alias{se.contrast.aovlist}\arguments{\item{object}{A suitable fit, usually from \code{aov}.}\item{contrast.obj}{The contrasts for which standard errors arerequested. This can be specified via a list or via a matrix. A singlecontrast can be specified by a list of logical vectors giving thecells to be contrasted. Multiple contrasts should be specified by amatrix as returned by \code{contrasts}.}\item{coef}{Used when \code{{contrast.obj}} is a list; it should be avector of the same length as the list with zero sum. The defaultvalue is the first Helmert contrast, which contrasts the first andsecond cell means specified by the list.}\item{data}{The data frame used to evaluate \code{contrast.obj}.}}\description{Returns the standard errors for one or more contrasts in an \code{aov}object.}\details{Contrasts are usually used to test if certain means aresignificantly different; it can be easier to use \code{se.contrast}than compute directly with the coefficients.In multistratum models, the contrasts can appear in more than onestratum; the contrast and standard error are computed in the loweststratum and adjusted for efficiencies and comparisons between strata.}\value{A vector giving the standard errors for each contrast.}\author{B.D. Ripley}\seealso{\code{\link{contrasts}}, \code{\link{model.tables}}\examples{## From Venables and Ripley (1997) p.210.N <- c(0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,0)P <- c(1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0)K <- c(1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0)yield <- c(49.5,62.8,46.8,57.0,59.8,58.5,55.5,56.0,62.8,55.8,69.5,55.0, 62.0,48.8,45.5,44.2,52.0,51.5,49.8,48.8,57.2,59.0,53.2,56.0)npk <- data.frame(block=gl(6,4), N=factor(N), P=factor(P),K=factor(K), yield=yield)options(contrasts=c("contr.treatment", "contr.poly"))npk.aov1 <- aov(yield ~ block + N + K, npk)se.contrast(npk.aov1, list(N=="0", N=="1"), data=npk)}\keyword{models}