norm.1972SF: Univariate Test of Normality by Shapiro and Francia (1972)

In kisungyou/SHT: Statistical Hypothesis Testing Toolbox

Univariate Test of Normality by Shapiro and Francia (1972)

Description

Given an univariate sample x, it tests

H_0 : x\textrm{ is from normal distribution} \quad vs\quad H_1 : \textrm{ not } H_0

using a test procedure by Shapiro and Francia (1972), which is an approximation to Shapiro and Wilk (1965).

Usage

norm.1972SF(x)

Arguments

x	a length-n data vector.

Value

a (list) object of S3 class htest containing:

statistic

a test statistic.

p.value

p-value under H_0.

alternative

alternative hypothesis.

method

name of the test.

data.name

name(s) of provided sample data.

References

\insertRef

shapiro_approximate_1972SHT

Examples

## CRAN-purpose small example
x = rnorm(10)
norm.1972SF(x) # run the test


## generate samples from several distributions
x = stats::runif(496)            # uniform
y = stats::rgamma(496, shape=2)  # gamma
z = stats::rlnorm(496)           # log-normal

## test above samples
test.x = norm.1972SF(x) # uniform
test.y = norm.1972SF(y) # gamma
test.z = norm.1972SF(z) # log-normal

kisungyou/SHT documentation built on Feb. 27, 2025, 6:12 a.m.