anm.ci: Animation demonstrations of confidence intervals.

Description

Provides animated depictions of confidence intervals for \(\mu\), \(\sigma^{2}\), the population median, and the binomial parameter \(\pi\).

Usage

anm.ci(parent=expression(rnorm(n)), par.val, conf = 0.95, sigma = NULL, 
  par.type = c("mu", "median", "sigma.sq", "p"), n.est = 100, 
  n = 50, err.col = 2, par.col = 4, interval = 0.1, ...) 
anm.ci.tck()

Value

Returns an animated plot.

Arguments

parent: A parental distribution; ideally a distribution with known parameters.
par.val: True parameter value which is being estimated.
conf: Confidence level: 1-P(type I error).
sigma: \(\sigma\) from the normal pdf, if known.
par.type: The parameter whose confidence intervals to be estimated. There are currently four choices c("mu", "median", "sigma.sq", "p"). These are the normal pdf parameters \(\mu\) and \(\sigma^{2}\), the population median, and the binomial parameter, \(\pi\).
n.est: The number of confidence intervals to be created.
n: The sample size used for each confidence interval.
err.col: The line color of the intervals which do not include the true value.
par.col: The line color denoting the parameter value.
interval: The time interval for animation (in seconds). Smaller intervals speed up animation
...: Additional arguments to plot.

Author

Ken Aho

Details

Provides an animated plot showing confidence intervals with respect to a known parameter. Intervals which do not contain the parameter are emphasized with different colors. Loading package tcltk allows use of function anm.ci.tck which provides an interactive GUI to run the function.

Examples

Run this code

if (FALSE) {
parent<-rnorm(100000)
anm.ci(parent, par.val=0, conf =.95, sigma =1, par.type="mu")
anm.ci(parent, par.val=1, conf =.95, par.type="sigma.sq")
anm.ci(parent, par.val=0, conf =.95, par.type="median")
parent<-rbinom(100000,1,p=.65)
anm.ci(parent, par.val=0.65, conf =.95, par.type="p")
##Interactive GUI, requires package 'tcltk'
anm.ci.tck()
}

Run the code above in your browser using DataLab