| Title: | Modified Lilliefors Goodness-of-Fit Normality Test |
| Version: | 0.0.1 |
| Description: | Presentation of a new goodness-of-fit normality test based on the Lilliefors method. For details on this method see: Sulewski (2019) <doi:10.1080/03610918.2019.1664580>. |
| Depends: | R (≥ 3.5.0) |
| Imports: | moments |
| License: | GPL-3 |
| Language: | en-US |
| Encoding: | UTF-8 |
| RoxygenNote: | 7.2.3 |
| Suggests: | testthat, knitr, rmarkdown |
| VignetteBuilder: | knitr |
| LazyData: | true |
| NeedsCompilation: | no |
| Packaged: | 2023-09-06 08:15:06 UTC; piotr |
| Author: | Piotr Sulewski 
[aut, cre] |
| Maintainer: | Piotr Sulewski <piotr.sulewski@apsl.edu.pl> |
| Repository: | CRAN |
| Date/Publication: | 2023-09-06 18:02:42 UTC |
The list of package functions and their demonstration
Description
The PSGoft package puts into practice the modified Lilliefors goodness-of-fit normality test. This modification consists in varying a formula of calculating the empirical distribution function. Values of constants a, b in the formula depend on values of sample skewness and excess kurtosis, which is recommended in order to increase the power of the LF test.
Data sets in the package
Functions for the modified Lilliefors goodness-of-fit normality test
Modified Lilliefors Goodness-of-Fit Normality Test
Description
Calculates the p-value of the modified Lilliefors goodness-of-fit normality test.
Usage
MLF.pvalue(x)
Arguments
x |
a numeric vector of data values, the number of which must be greater than 4. |
Details
The modified Lilliefors goodness-of-fit p-value.
Value
The function returns the p-value of the modified Lilliefors goodness-of-fit normality test.
Author(s)
Piotr Sulewski, piotr.sulewski@apsl.edu.pl, Pomeranian University in Slupsk.
References
Sulewski, P. (2019). Modified Lilliefors Goodness-of-fit Test for Normality. Communications in Statistics - Simulation and Computation 51(3), 1199-1219.
Examples
MLF.pvalue(rnorm(33, mean = 0, sd = 2))
MLF.pvalue(data1)
Modified Lilliefors Goodness-of-Fit Normality Test
Description
Calculates the value of the modified Lilliefors goodness-of-fit normality test statistic.
Usage
MLF.stat(x)
Arguments
x |
a numeric vector of data values, the number of which must be greater than 4. |
Details
The modified Lilliefors goodness-of-fit normality test statistic, see formula (5) in the article.
Value
The function returns the value of the modified Lilliefors goodness-of-fit normality test statistic.
Author(s)
Piotr Sulewski, piotr.sulewski@apsl.edu.pl, Pomeranian University in Slupsk.
References
Sulewski, P. (2019). Modified Lilliefors Goodness-of-fit Test for Normality. Communications in Statistics - Simulation and Computation 51(3), 1199-1219.
Examples
MLF.stat(rnorm(33, mean = 0, sd = 2))
MLF.stat(data1)
Modified Lilliefors Goodness-of-Fit Normality Test
Description
Performs the modified Lilliefors goodness-of-fit normality test.
Usage
MLF.test(x)
Arguments
x |
a numeric vector of data values, the number of which must be greater than 4. |
Details
The modified Lilliefors goodness-of-fit normality test statistic, see formula (5) in the article.
Value
A list with class “htest” containing the following components:
statistic - the value of the modified Lilliefors statistic.
p.value - the p-value for the test.
method - the character string “Modified Lilliefors goodness-of-fit normality test”.
data.name - a character string giving the name(s) of the data.
Author(s)
Piotr Sulewski, piotr.sulewski@apsl.edu.pl, Pomeranian University in Slupsk.
References
Sulewski, P. (2019). Modified Lilliefors Goodness-of-fit Test for Normality. Communications in Statistics - Simulation and Computation 51(3), 1199-1219.
Examples
MLF.test(rnorm(33, mean = 0, sd = 2))
MLF.test(data1)
A real data set on Dozer Cycle Times
Description
The data set from AbouRizk, S.M., Halpin, D.W., Wilson, J. R. (1994). Fitting beta distributions based on sample data. Journal of Construction Engineering and Management 120(2), 288–305. consist of 72 observations for Dozer Cycle Times
Usage
data1
Format
A data frame with 72 observations
A real data set on the height of five-year-old British boys
Description
The data set presents the height of 99 five-year-old British boys in cm downloaded from http://www.mas.ncl.ac.uk/njnsm/medfac/docs/intro.pdf.
Usage
data2
Format
A data frame with 99 observations