LInorm: Likelihood Interval of mean, sd and variance assuming Normal...

In LBI: Likelihood Based Inference

Likelihood Interval of mean, sd and variance assuming Normal Distribution

Description

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

Usage

  LInorm(x, k, conf.level=0.95, PLOT="", LOCATE=FALSE, Resol=201)

Arguments

x	a vector of observation
k	1/k likelihood interval will be calculated
conf.level	approximately corresponding confidence level. If k is specified, this is ignored.
PLOT	"1d" for profile plot or "2d" for contour plot.
LOCATE	use locater. This works only with PLOT="2D" option.
Resol	resolution for plot. This works only with PLOT=TRUE option.

Details

It calculates likelihood interval of mean and sd assuming normal distribution in one group. There is no standard error in the output.

Value

PE	maximum likelihood estimate
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)
  LInorm(x, k=1/0.15) # Pawitan Ex10-9 p289
  LInorm(x)
  LInorm(x, PLOT="1d")
  LInorm(x, PLOT="2d", LOCATE=TRUE)

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