simCImean: Pedagogical Simulation for the Confidence Interval of the...

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Pedagogical Simulation for the Confidence Interval of the Mean

Description

Show a sequence of confidence intervals, all calculated from repeated samples of simulated data from the same normal population, and show which intervals contain the true population mean.

Usage

simCImean(ns, n, mu=0, sigma=1, cl=0.95, seed=NULL, 
         show_data=FALSE, show_title=TRUE, 
         miss_only=FALSE, color_hit="gray40", color_miss="red",
         grid="grey90", ylim_bound=NULL, pause=FALSE,
         main=NULL, pdf_file=NULL, width=5, height=5, ...)

Arguments

ns	Number of samples, that is, repetitions of the experiment.
n	Size of each sample.
mu	Population mean.
sigma	Population standard deviation.
cl	Confidence level.
seed	Default seed is the R default. Enter a positive integer value to obtain a reproducible result, the same result for the same seed.

show_data	Plot the data for each sample over the confidence interval.
show_title	Place a title on the graph that contains the parameter values_
miss_only	For the text output, only display information for samples that missed the mean.
color_hit	Color of the confidence intervals that contains the mean.
color_miss	Color of the confidence intervals that miss the mean.
grid	Color of the grid lines.
ylim_bound	Specify the maximum deviation of the mean in either direction for the extent of the vertical axis_
pause	Build the graph and the text output, pausing after each confidence interval.
main	Title of graph.

pdf_file	Name of optional pdf file to which graphics are redirected.
width	Width of the pdf file in inches.
height	Height of the pdf file in inches.

...	Other parameter values.

Details

Simulate random normal data and display the resulting confidence intervals, with or without the data overlaid on each confidence interval. Highlight confidence intervals that miss the underlying population mean.

Author(s)

David W. Gerbing (Portland State University; [e-mail])

Examples

# 25 confidence intervals with a sample size each of 100
# mu=0, sigma=1, that is, sample from the standard normal
simCImean(25, 100)

# set the seed for a reproducible result with the same seed
simCImean(25, 100, seed=43)

# 25 confidence intervals with a sample size each of 100
# mu=100, sigma=15
# overlay the data over each confidence interval
simCImean(25, 100, mu=100, sigma=15, show_data=TRUE)

lessR documentation built on June 23, 2024, 1:06 a.m.