empirical_mu_one_way {LRTesteR} | R Documentation |
Test the equality of means of an unknown distribution.
Description
Test the equality of means of an unknown distribution.
Usage
empirical_mu_one_way(x, fctr, conf.level = 0.95)
Arguments
x |
a numeric vector. |
fctr |
a factor vector indicating groups. |
conf.level |
overall confidence level of the likelihood intervals. Uses Bonferroni correction. |
Details
Null: All mus are equal. (mu1 = mu2 ... muk).
Alternative: At least one mu is not equal.
Value
An S3 class containing the test statistic, p value, list of likelihood based confidence intervals, overall confidence level, individual confidence level of each interval and alternative hypothesis.
Source
Yudi Pawitan. In All Likelihood. Oxford University Press.
Owen. Empirical Likelihood. Chapman & Hall/CRC.
Examples
library(LRTesteR)
# Null is true
set.seed(1)
x <- rnorm(75, 1, 1)
fctr <- c(rep(1, 25), rep(2, 25), rep(3, 25))
fctr <- factor(fctr, levels = c("1", "2", "3"))
empirical_mu_one_way(x, fctr, .95)
# Null is false
set.seed(1)
x <- c(rnorm(25, 1, 1), rnorm(25, 2, 1), rnorm(25, 3, 1))
fctr <- c(rep(1, 25), rep(2, 25), rep(3, 25))
fctr <- factor(fctr, levels = c("1", "2", "3"))
empirical_mu_one_way(x, fctr, .95)
[Package LRTesteR version 1.1.1 Index]