conf.int {animation} | R Documentation |
This function gives a demonstration of the concept of confidence intervals in mathematical statistics in this way: keep on drawing samples from the Normal distribution N(0, 1), computing the intervals based on a given confidence level and plotting them as segments in a graph. In the end, we may check the coverage rate against the given confidence level.
conf.int(level = 0.95, size = 50, control = ani.control(interval = 0.3), ...)
level |
the confidence level (1 - alpha), e.g. 0.95 |
size |
the sample size for drawing samples from N(0, 1) |
control |
control parameters for the animation; see ani.control |
... |
other arguments passed to ani.control |
Intervals that cover the true parameter are denoted in gray color, otherwise in red color. As the process of drawing samples goes on, there will be a legend indicating the numbers of the two kinds of intervals respectively.
The argument nmax
in control
means the times of drawing samples.
A list containing
level |
confidence level |
size |
sample size |
CI |
a matrix of confidence intervals for each sample |
CR |
coverage rate |
Yihui Xie
George Casella and Roger L. Berger. Statistical Inference. Duxbury Press, 2th edition, 2001.
conf.int() ## Not run: # save the animation in HTML pages ani.start() conf.int(saveANI = TRUE, interval = 0.2, width = 600, height = 500) ani.stop() ## End(Not run)