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NSM3 (version 1.20)

Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

Description

Designed to replace the tables which were in the back of the first two editions of Hollander and Wolfe - Nonparametric Statistical Methods. Exact procedures are performed when computationally possible. Monte Carlo and Asymptotic procedures are performed otherwise. For those procedures included in the base packages, our code simply provides a wrapper to standardize the output with the other procedures in the package.

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Version

Install

install.packages('NSM3')

Monthly Downloads

1,582

Version

1.20

License

GPL-2

Maintainer

Grant Schneider

Last Published

July 13th, 2025

Functions in NSM3 (1.20)

cFrd

Computes a critical value for the Friedman, Kendall-Babington Smith S distribution.
cKolSmirn

Computes a critical value for the Kolmogorov-Smirnov J distribution.
ch.ro

Campbell-Hollander
cRangeNor

Quantile function for the range of k independent N(0,1) random variables.
cHollBivSym

Hollander Bivariate Symmetry
cNDWol

Function to compute a critical value for the Nemenyi, Damico-Wolfe Y distribution.
cLepage

Computes a critical value for the Lepage D distribution.
e.mc

Function to compute the Monte Carlo P-value for the observed Epstein E statistic
cUmbrPU

Computes a critical value for the Mack-Wolfe Peak Unknown A_p-hat distribution.
klefsjo.ifra

Klefsjo's IFRA
cNWWM

Computes a critical value for the Nemenyi, Wilcoxon-Wilcox, Miller R* distribution.
dmrl.mc

Hollander-Proschan
klefsjo.ifr.mc

Function to compute the Monte Carlo P-value for the observed Klefsjo's A* statistic.
cUmbrPK

Computes a critical value for the Mack-Wolfe Peak Known A_p distribution.
cMackSkil

Computes a critical value for the Mack-Skillings MS distribution.
pAnsBrad

Function to compute the P-value for the observed Ansari-Bradley C statistic.
cMaxCorrNor

Quantile function for the maximum of k N(0,1) random variables with common correlation rho.
multCh7SM

Possible arrangements by row a matrix, where NA values are ignored
kolmogorov

Kolmogorov
multComb

Combinations of the first n integers in k groups
klefsjo.ifr

Klefsjo's IFR
pRangeNor

Function to compute the upper-tail probability of the range of k independent N(0,1) random variables for a given cutoff.
cJCK

Computes a critical value for the Jonckheere-Terpstra J distribution.
cKW

Computes a critical value for the Kruskal-Wallis H distribution.
ecdf.ks.CI

Kolmogorov's Confidence Band
data

Dataset
pJCK

Function to compute the P-value for the observed Jonckheere-Terpstra J statistic.
pHoeff

Hoeffding's D
owa

Ordered Walsh Averages
pSDCFlig

Dwass, Steel, Critchlow, Fligner
epstein

Epstein
pKW

Kruskal-Wallis
pNWWM

Nemenyi, Wilcoxon-Wilcox, Miller
klefsjo.ifra.mc

Function to compute the Monte Carlo P-value for the observed Klefsjo's B* statistic.
pHollBivSym

Hollander Bivariate Symmetry
sen.adichie

Function to test for parallel lines.
print.NSM3Ch5p

Methods to control displayed output of NSM3 tests.
pKolSmirn

Function to copute the P-value for the observed Kolmogorov-Smirnov J statistic.
mblm

Fitting Median-Based Linear Models (from 'mblm' oackage)
pNDWol

Nemenyi, Damico-Wolfe
pDurSkiMa

Durbin, Skillings-Mack
qKolSmirnLSA

Quantile function for the asymptotic distribution of the Kolmogorov-Smirnov J* statistic.
cSDCFlig

Computes a critical value for the Dwass, Steel, Critchlow-Fligner W distribution.
pBohnWolfe

Function to compute the P-value for the observed Bohn-Wolfe U statistic.
ferg.df

Ferguson's Estimator
tc

Guess-Hollander-Proschan
pLepage

Lepage
cSkilMack

Computes a critical value for the Skillings-Mack SM distribution.
svr.df

Susarla-van Ryzin
kendall.ci

Function to produce a confidence interval for Kendall's tau.
pWNMT

Wilcoxon, Nemenyi, McDonald-Thompson
nb.mc

Function to compute the Monte Carlo P-value for the observed Hollander-Proschan T statistic.
pUmbrPU

Mack-Wolfe Peak Unknown
zelen.test

Function to perform Zelen's test.
multCh7

Possible arrangements by row for a matrix
pPage

Page
newbet

Hollander-Proschan T*
pPairedWilcoxon

Paired Wilcoxon
mrl

Mean Residual Life
pUmbrPK

Function to compute the P-value for the observed Mack-Wolfe Peak Known A_p distribution.
pFligPoli

Fligner-Policello
theil

Function to estimate and perform tests on the slope and intercept of a simple linear model.
pSkilMack

Skillings-Mack
pHaySton

Hayter-Stone
pFrd

Function to compute the P-value for the observed Friedman, Kendall-Babington Smith S statistic.
pMaxCorrNor

Function to compute the upper tail probability of the maximum of k N(0,1) random variables with common correlation for a given cutoff.
pMackSkil

Mack-Skillings
pHayStonLSA

Hayter-Sone LSA
cDurSkiMa

Computes a critical value for the Durbin, Skillings-Mack D distribution.
HoeffD

Function to compute Hoeffding's D statistic for small sample sizes.
cAnsBrad

Function to compute a critical value for the Ansari-Bradley C distribution.
cFligPoli

Computes a critical value for the Fligner-Policello U distribution.
cBohnWolfe

Function to compute a critical value for the Bohn-Wolfe U distribution.
RFPW

Randles-Fligner-Policello-Wolfe
CorrUpperBound

Computes the upper bound for the null correlation between two overlapping signed rank statistics.
cHaySton

Computes a critical value for the Hayter-Stone W* distribution.
HollBivSym

Hollander Bivariate Symmetry
MillerJack

Miller Jackknife
RSS

Ranked-Set Sample
cPage

Function to compute a critical value for the Page L distribution.
cWNMT

Computes a critical value for the Wilcoxon, Nemenyi, McDonald-Thompson R distribution.
cHayStonLSA

Computes a critical value for the Hayter-Stone W* asymptotic distribution.