LIvRatio: Likelihood Interval of the ratio of two variances from two...

In LBI: Likelihood Based Inference

Likelihood Interval of the ratio of two variances from two groups

Description

Likelihood interval of the ratio of two variances from two groups assuming normal distribution. Likelihood interval usually gives a narrower interval when the likelihood function is asymmetric.

Usage

  LIvRatio(x, y, k, conf.level=0.95)

Arguments

x	observations from the first group, the test group, used for the numerator
y	observations from the second group, the control group, used for the denominator
k	1/k likelihood interval will be provided
conf.level	approximate confidence level

Details

It calculates likelihood interval of the ratio of two variances from two groups. Likelihood interval usually gives a narrower interval when the likelihood function is asymmetric.

Value

PE	maximum likelihood estimate on the ratio
LL	lower limit of likelihood interval
UL	upper limit of likelihood interval
logk	log(k) value used for LI
maxLL	maximum log likelihood
conf.level	approximate confidence level

Author(s)

Kyun-Seop Bae [e-mail]

Examples

  LIvRatio(mtcars$drat, mtcars$wt)
  var.test(mtcars$drat, mtcars$wt)
  LIvRatio(mtcars$qsec, mtcars$wt)
  var.test(mtcars$qsec, mtcars$wt)
  LIvtest(sd(mtcars$qsec), nrow(mtcars), sd(mtcars$wt), nrow(mtcars))

LBI documentation built on Aug. 21, 2025, 5:53 p.m.