Nothing
r.dist <- function(rho, r, n){
rd <- function(rho, r, n){
((n-2)*gamma(n-1)*((1-rho^2)^((n-1)/2))*((1-r^2)^((n-4)/2)))/
(sqrt(2*pi)*gamma(n-0.5)*((1-rho*r)^(n-(3/2)))) *
(1 + 1/4 * (((rho * r) + 1)/((2 * n) - 1)) + 9/16 * ((((rho * r) + 1)^2)/((2 * n) - 1)* (2 * n + 1)))
}
r.unst <- rd(rho, r, n)
integrand <-function(x)rd(rho = rho, n = n, r = x)
den <- integrate(integrand, -1, 1)
std.r <- r.unst/den$value
std.r
}
#----------------------------- tcltk implementation ---------------------------------#
see.r.dist.tck <-function(){
plot_r <- function(rho, r, n, ...){
vals <- r.dist(rho = rho, r = seq(-1, 1, .001) , n = n)
dev.hold()
plot(seq(-1, 1, .001), vals, type = "l", ylab = expression(paste(italic(f),"(",italic(r),")", sep = "")), xlab = expression(italic(r)), ...)
dev.flush()
}
if (!exists("slider.env"))
slider.env <- NULL
suppressWarnings(rm(slider.env))
slider.env <<- new.env()
n <- 5
rho <- 0
assign("n", tclVar(n), envir = slider.env)
assign("rho", tclVar(rho), envir = slider.env)
xmin <- -1
assign("xmin", tclVar(xmin), envir = slider.env)
xmax <- 1
assign("xmax", tclVar(xmax), envir = slider.env)
norm.refresh <- function(...) {
n <- as.numeric(evalq(tclvalue(n), envir = slider.env))
rho <- as.numeric(evalq(tclvalue(rho), envir = slider.env))
xmin <- as.numeric(evalq(tclvalue(xmin), envir = slider.env))
xmax <- as.numeric(evalq(tclvalue(xmax), envir = slider.env))
plot_r(n = n, rho = rho, xlim = c(xmin, xmax))
}
tclServiceMode(TRUE)
m <- tktoplevel()
tkwm.geometry(m, "+600+4")
tkwm.title(m, "Pearson product moment correlation distribution")
tkpack(tklabel(m, text = "Sampling distribution of r"))
tkwm.geometry(m, "+0+0")
tkpack(fr <- tkframe(m), side = "top")
tkpack(tklabel(fr, text = "n", font = c("Helvetica", "9",
"italic"), width = "20"), side = "right")
tkpack(sc <- tkscale(fr, command = norm.refresh, from = 5,
to = 50, orient = "horiz", resolution = 1, showvalue = TRUE),
side = "left")
assign("sc", sc, envir = slider.env)
evalq(tkconfigure(sc, variable = n), envir = slider.env)
tkpack(fr <- tkframe(m), side = "top")
tkpack(tklabel(fr, text = "\u03C1", font = c("Helvetica", "9",
"italic"), width = "20"), side = "right")
tkpack(sc <- tkscale(fr, command = norm.refresh, from = -.99,
to = .99, orient = "horiz", resolution = 0.01, showvalue = TRUE),
side = "left")
assign("sc", sc, envir = slider.env)
evalq(tkconfigure(sc, variable = rho), envir = slider.env)
tkpack(fr <- tkframe(m), side = "top")
tkpack(tklabel(fr, text = "Xmin:", width = 6), side = "left")
tkpack(e <- tkentry(fr, width = 8), side = "left")
assign("e", e, envir = slider.env)
evalq(tkconfigure(e, textvariable = xmin), envir = slider.env)
tkpack(tklabel(fr, text = "Xmax:", width = 6), side = "left")
tkpack(e <- tkentry(fr, width = 8), side = "left")
assign("e", e, envir = slider.env)
evalq(tkconfigure(e, textvariable = xmax), envir = slider.env)
tkpack(tkbutton(m, text = "Refresh", command = norm.refresh),
side = "left")
tkpack(tkbutton(m, text = "Exit", command = function() tkdestroy(m)),
side = "right")
}
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