normal_sampling_distns_movie: Normal sampling distributions movie

In paulnorthrop/stat0002: Introduction to Probability and Statistics

Normal sampling distributions movie

Description

A movie to show how the sampling distributions of the sample mean and sample variance based on a random sample from a normal distribution depend on the size n of the sample.

Usage

normal_sampling_distns_movie(starting_n = 30, delta_n = 1, mu = 0, sigma = 1)

Arguments

starting_n	A numeric scalar. The value of the sample size used to produce the first plot of the p.d.f.
delta_n	A numeric scalar. The amount by which the value of the sample size is increased/decreased after one click of the +/- button.
mu	A numeric scalar. The mean of the normal distribution from which the random sample are drawn.
sigma	A numeric scalar. The standard deviation of the normal distribution from which the random sample are drawn.

Details

The movie is based on two plots. The top plot shows the probability density function (p.d.f.) of the sampling distribution of the sample mean, that is, a N(\mu, \sigma^2 / n) distribution. The bottom plot contains the p.d.f. of the sampling distribution of the sample variance, that is, a gamma distribution (GammaDist) with shape parameter (n - 1) / 2 and rate parameter (n - 1) / 2\sigma^2.

The number of samples simulated is increased

The value of the sample size can be changed using the +/- buttons in the panel. For the purposes of this movie the value of n cannot exceed 100.

Value

Nothing is returned, only the animation is produced.

See Also

stat0002movies: general information about the movies.

Examples

normal_sampling_distns_movie()

paulnorthrop/stat0002 documentation built on Oct. 10, 2024, 1:27 p.m.