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# Plot histogram of HW test statistics
# (c) William R. Engels, 2014
#' Functions to plot a histogram of test statistic
#'
#' Running the function \code{\link{hwx.test}} can create data for a frequency distribution plot of one of the four test statistics provided the parameter \code{histobins} is positive. These plotting data are contained within the \dQuote{hwtest} object generated by \code{\link{hwx.test}}. When that object is printed, a plot is drawn by \code{ggplot2}. If the user wishes to capture the \code{ggplot2} results, such as to use in making a composite figure, the \dQuote{gg} object can be obtained by calling \code{makeHistogram}.
#'
#' @param x output from \code{\link{hwx.test}}
#' @param color1 The color for outcomes fitting the null distribution better than the observed
#' @param color2 The color for outcomes deviating from the null at leasst as much as observed. Area of \code{color2} is the P value.
#' @param curveColor color for the asymptotic distribution curve
#' @param ostats Observed statistics for the 4 test measures, \code{LLR}, \code{Prob}, \code{U} and \code{Chisq}.
#' @param statID Value 1-4 indicating which statistic to use for the plot.
#' @param m vector of allele counts
#'
#' @return \code{defaultHistobounds} returns a vector containing the left and right boundaries for the x axis. This function is not normally called by the user
#'
#' @return \code{makeHistobram} A graphic object of class \dQuote{gg} or \dQuote{ggplot} from \code{ggplot2}.
#'
#' @seealso \code{\link{hwx.test}}
#' @rdname histogramFunctions
#' @export
defaultHistobounds <-
function(ostats, statID, m) {
k <- length(m);
b <- double(2);
n <- sum(m)/2;
df <- k *(k-1)/2;
if(statID==1 || statID==4) b[2] <- qchisq(.999, df);
if(statID==2) {
# find maximum probability
ae <- matrix(0,k,k);
for(i in 1:k) for(j in 1:k) ae[i,j] <- m[i]*m[j]/(2*n);
for(i in 1:k)ae[i,i] <- ae[i,i]/2;
b[1] <- (-2)*log(observedProb(ae));
b[2] <- b[[1]] + qchisq(.999, df);
}
if(statID==3) {
seu <- sqrt(n * (k-1));
b[[1]] <- -4 * seu;
b[[2]] <- 4 * seu;
}
return(b);
}
#' @rdname histogramFunctions
#' @export
makeHistogram <- function(x, curveColor="blue", color1 = "gray40", color2 = "lightcoral") {
requireNamespace("ggplot2")
k <- length(x$alleles)
labels <- c("-2 ln(LR)", "-2 ln(Probability)", "U Score (test for homozygote excess)", "Pearson's Chi Squared")
statID <- x$statID
showCurve <- x$showCurve
os <- x$observed[statID]
histobins <- x$histobins
histobounds <- x$histobounds
if (statID == 1)
os <- -2 * os
if (statID == 2)
os <- -2 * log(os)
nleft <- as.integer(histobins * (os - histobounds[1])/(histobounds[2] - histobounds[1]))
if (nleft < 0)
nleft <- 0
nright <- histobins - nleft + 1
if (nright < 0)
nright <- 0
if (statID == 3 && os < 0) { #swap colors
temp <- color1
color1 <- color2
color2 <- temp
labels[3] <- "U Score (test for heterozygote excess)"
}
statvals <- seq(histobounds[1], histobounds[2], length.out = histobins + 1)
if (showCurve && (statID == 1 || statID == 4)) {
# if (ntrials == 0)
# ntrials <- 1
chi <- dchisq(statvals, k * (k - 1)/2)
} else chi = 0
colrs <- c(rep(I(color1), nleft), rep(color2, nright))
if(length(colrs) > histobins+1) length(colrs) <- histobins+1
lwd <- 200/histobins
d <- data.frame(statvals = statvals, histoData = x$histoData, colrs = colrs, chi = chi)
g <- ggplot2::ggplot(d, ggplot2::aes_string(x = 'statvals', y = 'histoData', color = 'colrs')) + ggplot2::geom_segment(ggplot2::aes(xend = statvals, yend = 0), size = lwd,
show.legend = F) + ggplot2::scale_color_identity() + ggplot2::ylab("Density") + ggplot2::xlab(labels[statID])
if (showCurve && (statID == 1 || statID == 4)) {
g <- g + ggplot2::geom_line(ggplot2::aes(y = chi), color = curveColor, size = 1)
}
if(!is.null(x$sampleName)) g <- g + ggplot2::ggtitle(x$sampleName)
return(g)
}
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