\name{mt.sample.teststat} \title{Permutation distribution of test statistics and raw (unadjusted) p-values} \alias{mt.sample.teststat} \alias{mt.sample.rawp} \alias{mt.sample.label} \usage{ mt.sample.teststat(V,classlabel,test="t",fixed.seed.sampling="y",B=10000,na=.mt.naNUM,nonpara="n") mt.sample.rawp(V,classlabel,test="t",side="abs",fixed.seed.sampling="y",B=10000,na=.mt.naNUM,nonpara="n") mt.sample.label(classlabel,test="t",fixed.seed.sampling="y",B=10000) } \description{ These functions provide tools to investigate the permutation distribution of test statistics, raw (unadjusted) \eqn{p}-values, and class labels. } \arguments{ \item{V}{A numeric vector containing the data for one of the variables (genes).} \item{classlabel}{ A vector of integers corresponding to observation (column) class labels. For \eqn{k} classes, the labels must be integers between 0 and \eqn{k-1}. For the \code{blockf} test option, observations may be divided into \eqn{n/k} blocks of \eqn{k} observations each. The observations are ordered by block, and within each block, they are labeled using the integers 0 to \eqn{k-1}. } \item{test}{A character string specifying the statistic to be used to test the null hypothesis of no association between the variables and the class labels.\cr If \code{test="t"}, the tests are based on two-sample Welch t-statistics (unequal variances). \cr If \code{test="t.equalvar"}, the tests are based on two-sample t-statistics with equal variance for the two samples. The square of the t-statistic is equal to an F-statistic for \eqn{k=2}. \cr If \code{test="wilcoxon"}, the tests are based on standardized rank sum Wilcoxon statistics.\cr If \code{test="f"}, the tests are based on F-statistics.\cr If \code{test="pairt"}, the tests are based on paired t-statistics. The square of the paired t-statistic is equal to a block F-statistic for \eqn{k=2}. \cr If \code{test="blockf"}, the tests are based on F-statistics which adjust for block differences (cf. two-way analysis of variance). } \item{side}{A character string specifying the type of rejection region.\cr If \code{side="abs"}, two-tailed tests, the null hypothesis is rejected for large absolute values of the test statistic.\cr If \code{side="upper"}, one-tailed tests, the null hypothesis is rejected for large values of the test statistic.\cr If \code{side="lower"}, one-tailed tests, the null hypothesis is rejected for small values of the test statistic. } \item{fixed.seed.sampling}{If \code{fixed.seed.sampling="y"}, a fixed seed sampling procedure is used, which may double the computing time, but will not use extra memory to store the permutations. If \code{fixed.seed.sampling="n"}, permutations will be stored in memory. For the \code{blockf} test, the option \code{n} was not implemented as it requires too much memory. } \item{B}{The number of permutations. For a complete enumeration, \code{B} should be 0 (zero) or any number not less than the total number of permutations. } \item{na}{Code for missing values (the default is \code{.mt.naNUM=--93074815.62}). Entries with missing values will be ignored in the computation, i.e., test statistics will be based on a smaller sample size. This feature has not yet fully implemented. } \item{nonpara}{If \code{nonpara}="y", nonparametric test statistics are computed based on ranked data. \cr If \code{nonpara}="n", the original data are used. } } \value{ For \code{\link{mt.sample.teststat}}, a vector containing \code{B} permutation test statistics. \cr \cr For \code{\link{mt.sample.rawp}}, a vector containing \code{B} permutation unadjusted \eqn{p}-values. \cr\cr For \code{\link{mt.sample.label}}, a matrix containing \code{B} sets of permuted class labels. Each row corresponds to one permutation. } \examples{ # Gene expression data from Golub et al. (1999) data(golub) mt.sample.label(golub.cl,B=10) permt<-mt.sample.teststat(golub[1,],golub.cl,B=1000) qqnorm(permt) qqline(permt) permt<-mt.sample.teststat(golub[50,],golub.cl,B=1000) qqnorm(permt) qqline(permt) permp<-mt.sample.rawp(golub[1,],golub.cl,B=1000) hist(permp) } \author{Yongchao Ge, \email{yongchao.ge@mssm.edu}, \cr Sandrine Dudoit, \url{http://www.stat.berkeley.edu/~sandrine}.} \seealso{\code{\link{mt.maxT}}, \code{\link{mt.minP}}, \code{\link{golub}}.} \keyword{manip}