Provides movies to help students to understand statistical concepts. The 'rpanel' package < https://cran.r-project.org/package=rpanel> is used to create interactive plots that move to illustrate key statistical ideas and methods. There are movies to: visualise probability distributions (including user-supplied ones); illustrate sampling distributions of the sample mean (central limit theorem), the median, the sample maximum (extremal types theorem) and (the Fisher transformation of the) product moment correlation coefficient; examine the influence of an individual observation in simple linear regression; illustrate key concepts in statistical hypothesis testing. Also provided are dpqr functions for the distribution of the Fisher transformation of the correlation coefficient under sampling from a bivariate normal distribution.
The smovie
package provides movies to help students to understand statistical concepts. The rpanel
package is used to create interactive plots that move to illustrate key statistical ideas and methods. The movies cover the topics of probability distributions; sampling distributions of the mean (central limit theorem), the maximum (extremal types theorem) and the (Fisher transformation of the) correlation coefficient; simple linear regression; hypothesis testing.
The function wws
produces a movie to visualise the Wald, Wilks and score likelihood-based test statistics, for a model with a scalar unknown parameter. The user can change the value of the parameter under a simple null hypothesis and observe the effect on the test statistics. The following code uses the log-likelihood from a binomial experiment and considers the null hypothesis that the success probability θ is equal to θ_{0}. The user may specify their own log-likelihood.
wws(theta0 = 0.5)
To get the current released version from CRAN:
install.packages("smovie")
Note that rpanel
requires the Tcl extension BWidget
. BWidget
is included in the R installers for Windows and macOS. For other platforms please see Section 1.1.7 of Writing R Extensions for installation advice.
See vignette("smovie-vignette", package = "smovie")
for an overview of the package.
The way that objects modified inside the plotting function are saved has been changed to enable two or more panels produced by the same smovie function to operate simultaneously and independently, even if the call is exactly the same.
The argument plot_par
in the functions discrete
and continuous
didn't work properly. It does now.
Both hscale
and vscale
may be passed to the main menu function movies
to scale the size of the graphics panel horizontal and vertically.
In ett()
and clt()
the legend position in plots of cdfs has been moved to "topleft" better to avoid overlapping the contents of the plot. The argument leg_cex
has been added to enable manual control of the size of the legends.
That smovie requires the R extension BWidget (via its dependence on the package rpanel) is noted in the README file. If BWidget is not installed then a message is given to explain why the smovie functions don't work.