conf.ellipse: Confidence regions for bivariate data

In leahpom/MATH5793POMERANTZ: Math 5793 R functions

Description

Confidence regions for bivariate data

Usage

conf.ellipse(data, alpha, mu_0)

Arguments

data	a data.frame containing two variables
alpha	a scaled quantity between 0 and 1; 100(1-alpha) is the confidence level
mu_0	the vector of means from the null hypothesis

Value

a plot showing the ellipse that is the confidence region based on alpha

a named list with several outputs, explained further in the output section

List of output

The list returned at the end of the function has several components to its output:

1. The result of the confidence test (result)

2. The size of the quadratic form (quadratic.form)

3. The scaled quantile (scaled.quantile)

4. The eigenvectors and eigenvalues of S (eigenvalues and eigenvectors)

5. The major and minor half-widths (major.halfwidth and minor.halfwidth)

6. The lengths ratio, i.e. ratio of the major axis to the minor axis (lengths.ratio)

Examples

## Not run: 
df <- diamonds[, c(1,5)]
dBar <- colMeans(data)
conf.ellipse(data = df, alpha = 0.05, mu_0 = dBar)
## End(Not run)

leahpom/MATH5793POMERANTZ documentation built on May 10, 2021, 9:52 a.m.