bs.test: The Birnbaum-Saunders goodness-of-fit test from the...

In bsgof: Birnbaum-Saunders Goodness-of-Fit Test

The Birnbaum-Saunders goodness-of-fit test from the probability plot

Description

Performs goodness-of-fit test for the Birnbaum-Saunders distribution

Usage

bs.test(x, a)
bs.test.pvalue(r, n)
bs.test.critical(alpha, n)

Arguments

x	a numeric vector of data values. Missing values are allowed, but the number of non-missing values must be between 3 and 1000.
a	the offset fraction to be used; typically in (0,1). See ppoints.
r	the sample correlation coefficient from the Birnbaum-Saunders probability plot; r is in (0,1).
n	the sample size.
alpha	the significance level.

Details

Using the sample correlation coefficeint from the Birnbaum-Saunders probability plot, it performs the goodness fit test for the Birnbaum-Saunders distribution.

Value

A list with class "htest" containing the following components:

statistic	the value of the test statistic (sample correlation from the Birnbaum-Saunders probability plot)
p.value	the p-value for the test.
sample.size	sample size (missing observations are deleted).
method	a character string indicating the goodness fit test for the Birnbaum-Saunders distribution.
data.name	a character string giving the name(s) of the data.

Author(s)

Chanseok Park

References

Park, C. and M. Wang (2023). A goodness-of-fit test for the Birnbaum-Saunders distribution based on the probability plot. ArXiv e-prints, 2308.10150.
\Sexpr[results=rd]{tools:::Rd_expr_doi("10.48550/arXiv.2308.10150")}

See Also

ks.test for performing a one- or two-sample Kolmogorov-Smirnov test.
shapiro.test for performing the Shapiro-Wilk test of normality.
wp.test{weibullness} for performing the Weibullness test.

Examples

# For the goodness of fit test
x = c(1.2, 2.0, 3.3)
bs.test(x)

# p.value with r (sample correlation from the probability plot) and n (sample size) are given
bs.test.pvalue(r=0.6, n=10)

# Critical value with alpha (significane level) and n (sample size).
bs.test.critical(alpha=0.01, n=10)

bsgof documentation built on Aug. 24, 2023, 5:07 p.m.