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

In LBI: Likelihood Based Inference

Likelihood Interval of variance and sd assuming Normal Distribution with sample mean and sample size

Description

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

Usage

  LIvar(s1, n1, k, conf.level=0.95)

Arguments

s1	standard deviation of the sample
n1	sample size
k	1/k likelihood interval will be calculated
conf.level	approximately corresponding confidence level. If k is specified, this is ignored.

Details

It calculates likelihood interval of sd and variance assuming normal distribution in one group. The likelihood interval is asymmetric and there is no standard error in the output.

Value

PE	maximum likelihood estimate on the population variance
LL	lower limit of likelihood interval
UL	upper limit of likelihood interval

Author(s)

Kyun-Seop Bae [e-mail]

Examples

  x = c(-5.3, -4.5, -1.0, -0.7, 3.7, 3.9, 4.2, 5.5, 6.8, 7.4, 9.3)
  LInormVar(x)
  LIvar(sd(x), length(x))

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