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smovie

Some Movies to Illustrate Concepts in Statistics

What does smovie do?

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 median, the maximum (extremal types theorem) and the (Fisher transformation of the) correlation coefficient; simple linear regression; hypothesis testing.

An example

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 $\theta$ is equal to $\theta_0$. The user may specify their own log-likelihood.

wws(theta0 = 0.5)

Installation

To get the current released version from CRAN:

install.packages("smovie")

Vignettes

See vignette("smovie-vignette", package = "smovie") for an overview of the package.

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Install

install.packages('smovie')

Monthly Downloads

215

Version

1.1.6

License

GPL (>= 2)

Issues

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Maintainer

Paul Northrop

Last Published

December 3rd, 2023

Functions in smovie (1.1.6)

Fcorr

Fisher's transformation of the product moment correlation coefficient
clt

Central Limit Theorem (CLT)
mean_vs_median

Sample mean vs sample median
lev_inf

Leverage and influence in simple linear regression movie
cltq

Central Limit Theorem (CLT) for sample quantiles
correlation

Sampling distribution of the correlation coefficient movie
movies

Main menu for smovie movies
ett

Extremal Types Theorem (ETT)
discrete

Univariate Discrete Distributions: p.m.f and c.d.f.
continuous

Univariate Continuous Distributions: p.d.f and c.d.f.
shypo

Testing simple hypotheses
wws

Wald, Wilks and Score tests
smovie-package

smovie: some movies to illustrate concepts in statistics