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% File src/library/stats/man/replications.Rd% Part of the R package, http://www.R-project.org% Copyright 1995-2007 R Core Development Team% Distributed under GPL 2 or later\name{replications}\title{Number of Replications of Terms}\usage{replications(formula, data=NULL, na.action)}\alias{replications}\arguments{\item{formula}{a formula or a terms object or a data frame.}\item{data}{a data frame used to find the objects in \code{formula}.}\item{na.action}{function for handling missing values. Defaults toa \code{na.action} attribute of \code{data}, thena setting of the option \code{na.action}, or \code{na.fail} if thatis not set.}}\description{Returns a vector or a list of the number of replicates foreach term in the formula.}\details{If \code{formula} is a data frame and \code{data} is missing,\code{formula} is used for \code{data} with the formula \code{~ .}.}\value{A vector or list with one entry for each term in the formula givingthe number(s) of replications for each level. If all levels arebalanced (have the same number of replications) the result is avector, otherwise it is a list with a component for each terms,as a vector, matrix or array as required.A test for balance is \code{!is.list(replications(formula,data))}.}\references{Chambers, J. M., Freeny, A and Heiberger, R. M. (1992)\emph{Analysis of variance; designed experiments.}Chapter 5 of \emph{Statistical Models in S}eds J. M. Chambers and T. J. Hastie, Wadsworth \& Brooks/Cole.}\author{The design was inspired by the S function of the same name describedin Chambers \emph{et al.} (1992).}\seealso{\code{\link{model.tables}}}\examples{## From Venables and Ripley (2002) p.165.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)replications(~ . - yield, npk)}\keyword{models}