interval_var3: Two sided or one sided interval estimation of 'sigma^2' of...

In OneTwoSamples: Deal with One and Two (Normal) Samples

Two sided or one sided interval estimation of sigma^2 of one normal sample

Description

Compute the two sided or one sided interval estimation of sigma^2 of one normal sample when the population mean is known or unknown.

Usage

interval_var3(x, mu = Inf, side = 0, alpha = 0.05)

Arguments

x	A numeric vector.
mu	The population mean. When it is known, input it, and the function computes the interval endpoints using a chi-square distribution with degree of freedom n. When it is unknown, ignore it, and the function computes the interval endpoints using a chi-square distribution with degree of freedom n-1.
side	A parameter used to control whether to compute two sided or one sided interval estimation. When computing the one sided upper limit, input side = -1; when computing the one sided lower limit, input side = 1; when computing the two sided limits, input side = 0 (default).
alpha	The significance level, a real number in [0, 1]. Default to 0.05. 1-alpha is the degree of confidence.

Value

A data.frame with variables:

var	The estimate of the population variance. When the population mean mu is known, var = mean((x-mu)^2). When mu is unknown, var = var(x).
df	The degree of freedom.
a	The confidence lower limit.
b	The confidence upper limit.

Author(s)

Ying-Ying Zhang (Robert) [e-mail]

References

Zhang, Y. Y., Wei, Y. (2013), One and two samples using only an R funtion, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.2991/asshm-13.2013.29")}.

Examples

x=rnorm(10, mean = 1, sd = 0.2); x
interval_var3(x, mu = 1, side = -1)
interval_var3(x)

OneTwoSamples documentation built on March 31, 2023, 11:49 p.m.