Learn R Programming

PoweR (version 1.1.4)

Computation of Power and Level Tables for Hypothesis Tests

Description

Computes power and level tables for goodness-of-fit tests for the normal, Laplace, and uniform distributions. Generates output in 'LaTeX' format to facilitate reporting and reproducibility. Explanatory graphs help visualize the statistical power of test statistics under various alternatives. For more details, see Lafaye De Micheaux and Tran (2016) .

Copy Link

Version

Install

install.packages('PoweR')

Monthly Downloads

64

Version

1.1.4

License

GPL (>= 2)

Maintainer

P. de Micheaux

Last Published

July 22nd, 2025

Functions in PoweR (1.1.4)

Retrieve the default number of parameters of some laws.

law0023.GeneralizedPareto

The Generalized Pareto Distribution

law0012.ShiftedExp

The Shifted Exponential Distribution

law0010.LogNormal

The Log Normal Distribution

The Tukey Distribution

law0019.LocationCont

The Location Contaminated Distribution

law0013.PowerUnif

The Power Uniform Distribution

law0024.GeneralizedError

The Generalized Error Distribution

law0022.ScaleCont

The Scale Contaminated Distribution

The Stable Distribution

law0007.Uniform

The Uniform Distribution

law0032.TruncatedNormal

The Truncated Normal Distribution

law0014.AverageUnif

The Average Uniform Distribution

The Beta Distribution

The UUniform Distribution

The Normal with outliers Distribution

The Gamma Distribution

law0030.FoldedNormal

The Folded Normal Distribution

law0004.Logistic

The Logistic Distribution

Computes several \(p\)-values for many test statistics.

Get numbers of parameters of test statistics.

law0031.MixtureNormal

The Mixture Normal Distribution

Computation of critical values for several test statistics

law0040.Log-Pareto-tail-normal

The Log-Pareto-tail-normal Distribution

Expectation and variance.

print.critvalues

Latex table for critical values

Latex table for power simulations

Computation of power and level tables for hypothesis tests.

Gives information about a test statistic.

law0036.AsymmetricLaplace

The Asymmetric Laplace Distribution

stat0001.Lilliefors

The Lilliefors test for normality

stat0002.AndersonDarling

The Anderson-Darling test for normality

law0017.JohnsonSU

The Johnson SU Distribution

Monte-Carlo computation of a p-value for one single test statistic.

law0027.Frechet

The Frechet Distribution

law0037.NormalInvGaussian

The Normal-inverse Gaussian Distribution

stat0013.Hosking4

The 4th Hosking test for normality

stat0019.CabanaCabana1

The 1st Cabana-Cabana test for normality

law0011.Weibull

The Weibull Distribution

The VUniform Distribution

stat0014.BontempsMeddahi1

The 1st Bontemps-Meddahi test for normality

The Gumbel Distribution

stat0004.ZhangWu2

The 2nd Zhang-Wu test for normality

stat0017.BonettSeier

The Bonett-Seier test for normality

size-power curves.

plot.discrepancy

\(p\)-value discrepancy plot.

law0035.Exponential

The Exponential Distribution

stat0015.BontempsMeddahi2

The 2nd Bontemps-Meddahi test for normality

stat0021.ShapiroWilk

The Shapiro-Wilk test for normality

stat0010.Hosking1

The 1st Hosking test for normality

stat0003.ZhangWu1

The 1st Zhang-Wu test for normality

stat0047.Meintanis1MO

The 1st Meintanis test with moment estimators for the Laplace distribution

stat0018.BrysHubertStruyf-BonettSeier

The Brys-Hubert-Struyf & Bonett-Seier test for normality

law0034.GeneralizedExpPower

The Generalized Exponential Power Distribution

stat0037.DesgagneLafayeDeMicheaux-ZEPD

The \(Z_{EPD}\) test for normality

stat0020.CabanaCabana2

The 2nd Cabana-Cabana test for normality

stat0048.Meintanis1ML

The 1st Meintanis test with maximum likelihood estimators for the Laplace distribution

stat0025.Filliben

The Filliben test for normality

Computation of power and level tables for hypothesis tests.

stat0055.RaynerBest1

The 1st Rayner-Best test for the Laplace distribution

p-value plot, p-value discrepancy plot and size-power curves.

stat0024.DAgostino

The D'Agostino test for normality

stat0023.ShapiroWilk-RG

The Shapiro-Wilk test for normality modified by Rahman-Govindarajulu

stat0035.DesgagneLafayeDeMicheauxLeblanc-Rn

The \(R_n\) test for normality

stat0016.BrysHubertStruyf

The Brys-Hubert-Struyf test for normality

stat0009.GelGastwirth

The Gel-Gastwirth test for normality

stat0028.ZhangQQstar

The 3rd Zhang test for normality

\(p\)-value plot.

stat0008.DoornikHansen

The Doornik-Hansen test for normality

stat0026.ChenShapiro

The Chen-Shapiro test for normality

The Glen-Leemis-Barr test for the Laplace distribution

stat0065.AndersonDarling

The Anderson-Darling test for uniformity

stat0056.RaynerBest2

The 2nd Rayner-Best test for the Laplace distribution

stat0027.ZhangQ

The 1st Zhang test for normality

law0008.Student

The Student t Distribution

stat0066.Durbin

The Durbin test for uniformity

stat0080.Marhuenda

The Marhuenda test for uniformity

The Pardo test for uniformity

stat0083.ttests

Robustness of Student's t test for non-normality (one sample)

law0009.Chisquared

The Chi-Squared Distribution

stat0051.ChoiKim1

The 1st Choi-Kim test for the Laplace distribution

law0020.JohnsonSB

The Johnson SB Distribution

stat0064.CramervonMises

The Cramer-von Mises test for uniformity

stat0050.Meintanis2ML

The 2nd Meintanis test with maximum likelihood estimators for the Laplace distribution

stat0007.JarqueBera

The Jarque-Bera test for normality

stat0049.Meintanis2MO

The 2nd Meintanis test with moment estimators for the Laplace distribution

stat0031.EppsPulley

The Epps-Pulley test for normality

More Light on the Kurtosis and Related Statistics (for the Laplace distribution)

stat0085.DesgagneMicheauxLeblanc-Lap3

The Desgagne-Micheaux-Leblanc test for the Laplace distribution

stat0036.DesgagneLafayeDeMicheaux-XAPD

The \(X_{APD}\) test for normality

stat0092.Gonzales2

A ratio goodness-of-fit test for the Laplace distribution

The Moran test for uniformity

law0028.GeneralizedExtValue

The Generalized Extreme Value Distribution

stat0052.ChoiKim2

The 2nd Choi-Kim test for the Laplace distribution

law0021.SkewNormal

The Skew Normal Distribution

law0029.GeneralizedArcsine

The Generalized Arcsine Distribution

law0039.modifiedAsymmetricPowerDistribution

The modified Asymmetric Power Distribution

law0038.AsymmetricPowerDistribution

The Asymmetric Power Distribution

stat0042.AndersonDarling

The Anderson-Darling test for the Laplace distribution

stat0032.MartinezIglewicz

The Martinez-Iglewicz test for normality

stat0005.GlenLeemisBarr

The Glen-Leemis-Barr test for normality

stat0033.GelMiaoGastwirth

The Gel-Miao-Gastwirth test for normality

stat0006.DAgostinoPearson

The D'Agostino-Pearson test for normality

stat0022.ShapiroFrancia

The Shapiro-Francia test for normality

stat0053.ChoiKim3

The 3rd Choi-Kim test for the Laplace distribution

stat0034.ZhangQstar

The 2nd Zhang test for normality

stat0063.Kolmogorov

The Kolmogorov test for uniformity

stat0074.Cressie1

The 1st Cressie test for uniformity

stat0070.Greenwood

The Greenwood test for uniformity

stat0057.LangholzKronmal

The Langholz-Kronmal test for the Laplace distribution

stat0041.Spiegelhalter

The Spiegelhalter test for normality

The Kundu test for the Laplace distribution

stat0069.HegazyGreen2

The 2nd Hegazy-Green test for uniformity

stat0071.QuesenberryMiller

The Quesenberry-Miller test for uniformity

stat0012.Hosking3

The 3rd Hosking test for normality

stat0072.ReadCressie

The Read-Cressie test for uniformity

stat0011.Hosking2

The 2nd Hosking test for normality

stat0075.Cressie2

The 2nd Cressie test for uniformity

stat0076.Vasicek

The Vasicek test for uniformity

stat0086.Lafaye

The volcano test of normality

The Coin test for normality

stat0029.BarrioCuestaMatranRodriguez

The Barrio-Cuesta-Matran-Rodriguez test for normality

stat0090.Lafaye5

The volcano test of normality

Computation of test statistic values in pure R.

More Light on the Kurtosis and Related Statistics (for the Laplace distribution)

Performs a hypothesis test for the given value of statistic.

stat0087.Lafaye2

The volcano test of normality with alpha integrated out

stat0045.KolmogorovSmirnov

The Kolmogorov-Smirnov test for the Laplace distribution

stat0054.DesgagneMicheauxLeblanc-Gn

The Desgagne-Micheaux-Leblanc test for the Laplace distribution

Expected distances and goodness-of-fit for the asymmetric Laplace distribution

stat0091.Gonzales1

A ratio goodness-of-fit test for the Laplace distribution

stat0089.Lafaye4

The volcano test of normality

stat0040.Rayner2

The Rayner-Best statistic for the Laplace distribution

stat0088.Lafaye3

The volcano test of normality

stat0067.Kuiper

The Kuiper test for uniformity

More Light on the Kurtosis and Related Statistics (for the Laplace distribution)

stat0068.HegazyGreen1

The 1st Hegazy-Green test for uniformity

stat0046.Kuiper

The Kuiper test for the Laplace distribution

More Light on the Kurtosis and Related Statistics (for the Laplace distribution)

stat0039.Rayner1

The Rayner-Best statistic for the Laplace distribution

stat0043.CramervonMises

The Cramer-von Mises test for the Laplace distribution

stat0044.Watson

The Watson test for the Laplace distribution

stat0059.Gulati

The Gulati test for the Laplace distribution

stat0082.Zhang2

The 2nd Zhang test for uniformity

Uniformity.tests

Goodness-of-fit tests for uniformity

Goodness-of-fit tests for the Laplace distribution

Create a list giving the type of test statistics.

Density function

Normality.tests

Goodness-of-fit tests for normality.

Check proper behaviour of a random generator

Computation of the quantile values only for one test statistic.

Generate random samples from a law added in the package.

Distributions in the PoweR package

Gives information about a given law.

Empirical distribution function of p-values.

Get indices of laws and statistics functions.

The Normal Distribution

The Cauchy Distribution

law0001.Laplace

The Laplace Distribution

The Gel test for the Laplace distribution

stat0081.Zhang1

The 1st Zhang test for uniformity

stat0077.Swartz

The Swartz test for uniformity

stat0062.DesgagneMicheauxLeblanc-Lap2

The Desgagne-Micheaux-Leblanc test for the Laplace distribution

stat0078.Morales

The Morales test for uniformity

stat0061.DesgagneMicheauxLeblanc-Lap1

The Desgagne-Micheaux-Leblanc test for the Laplace distribution