LIvtest: Likelihood Interval of variance and sd assuming Normal...

In LBI: Likelihood Based Inference

Likelihood Interval of variance and sd assuming Normal Distribution using means and SDs

Description

Likelihood interval of variance and sd assuming normal distribution. This is estimated likelihood interval, not profile likelihood interval.

Usage

  LIvtest(s1, n1, s2, n2, k, conf.level=0.95)

Arguments

s1	sample standard deviation of the first group
n1	sample size of the first group
s2	sample standard deviation of the second group
n2	sample size of the second group
k	1/k likelihood interval will be calculated
conf.level	approximate confidence level. If k is specified, this is ignored.

Details

It calculates likelihood interval of variance and sd using sufficient statistics. There is no standard error in the output.

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

  LIvtest(10.5, 3529, 8.9, 5190)
  LIvtest(3, 10, 2, 10)
  LIvtest(3, 10, 2, 10, k=15)

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