Ajout chisquare.test
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3 changed files with 27 additions and 9 deletions
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^.*\.Rproj$
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^\.Rproj\.user$
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.gitignore
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.project
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.git
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.settings
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.settings
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#' Pearson's Chi-Squared test based on the characteristic function
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#' @param DATA.hist histogram object of the data
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#' @param char.fun Characteristic function
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#' @param ... Characteristic function arguments
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#' @param FUN Characteristic function (integral) or
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#' Saddlepoint distribution approximation (saddlepoint)
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#' @param ... FUN arguments
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#' @param alpha tolerance level
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#' @param method Method to approximate the distribution function. "integral" or "saddlepoint"
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#'
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#' @return A list containing the chi-square statistic,
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#' degree of freedom, hypothesis reject boolean and p.value
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#' @author François Pelletier
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chisquare.test <- function(DATA.hist,char.fun,...,alpha=0.05)
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chisquare.test <- function(DATA.hist,FUN,...,alpha=0.05,method="integral")
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{
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# Compute expected values for each histogram breaks using the characteristic function
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expected <- diff(cftocdf(classes <- DATA.hist$breaks,char.fun,...)*
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sum(observed <- DATA.hist$counts))
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classes <- DATA.hist$breaks
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if(method=="integral")
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{
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expected <- diff(cftocdf(classes,FUN,...)*
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sum(observed <- DATA.hist$counts))
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}
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else if(method=="saddlepoint")
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{
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expected <- diff(FUN(classes,...)*
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sum(observed <- DATA.hist$counts))
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}
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# Compute the test statistic using chi-square distribution
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p.value <- pchisq(chisquare.stat<-sum((observed-expected)^2/expected),
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df<-length(classes)-2,lower.tail=FALSE)
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\alias{chisquare.test}
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\title{Pearson's Chi-Squared test based on the characteristic function}
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\usage{
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chisquare.test(DATA.hist, char.fun, ..., alpha = 0.05)
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chisquare.test(DATA.hist, FUN, ..., alpha = 0.05, method = "integral")
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}
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\arguments{
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\item{DATA.hist}{histogram object of the data}
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\item{char.fun}{Characteristic function}
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\item{FUN}{Characteristic function (integral) or
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Saddlepoint distribution approximation (saddlepoint)}
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\item{...}{Characteristic function arguments}
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\item{...}{FUN arguments}
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\item{alpha}{tolerance level}
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\item{method}{Method to approximate the distribution
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function. "integral" or "saddlepoint"}
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}
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\value{
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A list containing the chi-square statistic, degree of
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