binomial_pmf_movie: Binomial p.m.f. movie

In paulnorthrop/stat1004: stat1004: Introduction to Probability and Statistics at UCL

Description

A movie to illustrate how the probability mass function (p.m.f.) of a binomial (n, p) random variable depends on n and p.

Usage

binomial_pmf_movie(starting_n = 1, starting_p = 1/2, delta_n = 1,
  delta_p = 0.05, observed_value = NA)

Arguments

starting_n	A numeric scalar. The value of n for the first graph.
starting_p	A numeric scalar. The value of p for the first graph.
delta_n	A numeric scalar. The amount by which n is increased (or decreased) after one click of the + (or -) button in the parameter window.
delta_p	A numeric scalar. The amount by which p is increased (or decreased) after one click of the + (or -) button in the parameter window.
observed_value	A non-negative integer. If observed_value is supplied then the corresponding line in the plot of the p.m.f. is coloured in red. If observed_value is not an integer then round(observed_value) is used.

Details

The probability mass function of a binomial random variable with parameters n (the number of Bernoulli trials performed) and p (the probabilities of success on a each trial) is plotted. The values of n and p can be changed by clicking on the relevant buttons.

Value

Nothing is returned, only the animation is produced.

See Also

movies: general information about the movies.

Examples

# Load package rpanel
# [Use install.packages("rpanel") if necessary]
library(rpanel)

## Not run: 
binomial_pmf_movie()

# Increase n and see what happens
binomial_pmf_movie(delta_n = 10)

# Sample size of the Aussie births data (26 boys, 18 girls)
binomial_pmf_movie(starting_n = 44, starting_p = 0.1, delta_p = 0.1,
                   observed_value = 26)

# Start at p = 0.591 (approximately 26/44)
binomial_pmf_movie(starting_n = 44, starting_p = 0.591, delta_p = 0.01,
                   observed_value = 26)

## End(Not run)

paulnorthrop/stat1004 documentation built on Nov. 17, 2019, 3:49 a.m.