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# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Library General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Library General Public License for more details.
#
# You should have received a copy of the GNU Library General
# Public License along with this library; if not, write to the
# Free Foundation, Inc., 59 Temple Place, Suite 330, Boston,
# MA 02111-1307 USA
################################################################################
# FUNCTION: DESCRIPTION:
# snormSlider Displays Normal Distribution and RVS
################################################################################
snormSlider <-
function(type = c("dist", "rand"))
{
# A function implemented by Diethelm Wuertz
# Description:
# Displays interactively skew Normal distribution
# Note:
# dsnorm(x, mean = 0, sd = 1, xi = 1.5)
# FUNCTION:
# Internal Function:
refresh.code = function(...)
{
# Sliders:
N = .sliderMenu(no = 1)
mean = .sliderMenu(no = 2)
sd = .sliderMenu(no = 3)
xi = .sliderMenu(no = 4)
invert = .sliderMenu(no = 5)
# Compute Data:
if (invert == 1) xi = 1/xi
xmin = round(qsnorm(0.001, mean, sd, xi), digits = 2)
xmax = round(qsnorm(0.999, mean, sd, xi), digits = 2)
s = seq(xmin, xmax, length = N)
y1 = dsnorm(s, mean, sd, xi)
y2 = psnorm(s, mean, sd, xi)
main1 = paste("Skew Normal Density\n",
"mean = ", as.character(mean), " | ",
"sd = ", as.character(sd), " | ",
"xi = ", as.character(xi) )
main2 = paste("Skew Normal Probability\n",
"xmin [0.001] = ", as.character(xmin), " | ",
"xmax [0.999] = ", as.character(xmax) )
# Random Numbers:
if (type[1] == "rand") {
x = rsnorm(N, mean, sd, xi)
}
# Frame:
par(mfrow = c(2, 1), cex = 0.7)
# Density:
if (type[1] == "rand") {
hist(x, probability = TRUE, col = "steelblue", border = "white",
breaks = "FD",
xlim = c(xmin, xmax), ylim = c(0, 1.1*max(y1)), main = main1 )
lines(s, y1, col = "orange")
} else {
plot(s, y1, type = "l", xlim = c(xmin, xmax), col = "steelblue")
abline (h = 0, lty = 3)
title(main = main1)
grid()
}
# Probability:
plot(s, y2, type = "l", xlim = c(xmin, xmax), ylim = c(0, 1),
col = "steelblue" )
abline (h = 0, lty = 3)
title(main = main2)
grid()
# Frame:
par(mfrow = c(1, 1), cex = 0.7)
}
# Open Slider Menu:
.sliderMenu(refresh.code,
names = c( "N", "mean", "sd", "xi", "xi.inv"),
minima = c( 10, -5.0, 0.1, 1.0, 0 ),
maxima = c( 500, +5.0, 5.0, 10.0, 1 ),
resolutions = c( 10, 0.1, 0.1, 0.1, 1 ),
starts = c( 100, 0.0, 1.0, 1.0, 0 )
)
}
################################################################################
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