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NSM3

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

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.

Functions (82)

CorrUpperBound

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

HoeffD

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

HollBivSym

Hollander Bivariate Symmetry

MillerJack

Miller Jackknife

RFPW

Randles-Fligner-Policello-Wolfe

RSS

Ranked-Set Sample

cAnsBrad

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

cBohnWolfe

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

cDurSkiMa

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

cFligPoli

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

cFrd

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

cHaySton

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

cHayStonLSA

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

cHollBivSym

Hollander Bivariate Symmetry

cJCK

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

cKW

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

cKolSmirn

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

cLepage

Computes a critical value for the Lepage D distribution.

cMackSkil

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

cMaxCorrNor

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

cNDWol

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

cNWWM

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

cPage

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

cRangeNor

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

cSDCFlig

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

cSkilMack

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

cUmbrPK

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

cUmbrPU

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

cWNMT

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

ch.ro

Campbell-Hollander

dmrl.mc

Hollander-Proschan

e.mc

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

ecdf.ks.CI

Kolmogorov's Confidence Band

epstein

Epstein

ferg.df

Ferguson's Estimator

kendall.ci

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

klefsjo.ifr

Klefsjo's IFR

klefsjo.ifr.mc

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

klefsjo.ifra

Klefsjo's IFRA

klefsjo.ifra.mc

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

kolmogorov

Kolmogorov

mblm

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

mrl

Mean Residual Life

multCh7

Possible arrangements by row for a matrix

multCh7SM

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

multComb

Combinations of the first n integers in k groups

nb.mc

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

newbet

Hollander-Proschan T*

owa

Ordered Walsh Averages

pAnsBrad

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

pBohnWolfe

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

pDurSkiMa

Durbin, Skillings-Mack

pFligPoli

Fligner-Policello

pFrd

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

pHaySton

Hayter-Stone

pHayStonLSA

Hayter-Sone LSA

pHoeff

Hoeffding's D

pHollBivSym

Hollander Bivariate Symmetry

pJCK

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

pKW

Kruskal-Wallis

pKolSmirn

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

pLepage

Lepage

pMackSkil

Mack-Skillings

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.

pNDWol

Nemenyi, Damico-Wolfe

pNWWM

Nemenyi, Wilcoxon-Wilcox, Miller

pPage

Page

pPairedWilcoxon

Paired Wilcoxon

pRangeNor

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

pSDCFlig

Dwass, Steel, Critchlow, Fligner

pSkilMack

Skillings-Mack

pUmbrPK

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

pUmbrPU

Mack-Wolfe Peak Unknown

pWNMT

Wilcoxon, Nemenyi, McDonald-Thompson

print.NSM3Ch5c

Methods to control displayed output of NSM3 tests.

qKolSmirnLSA

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

rhythmicity

Dataset

sen.adichie

Function to test for parallel lines.

svr.df

Susarla-van Ryzin

Guess-Hollander-Proschan

theil

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

zelen.test

Function to perform Zelen's test.

NSM3

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

v1.16

GPL-2

Authors

Grant Schneider, Eric Chicken, Rachel Becvarik

Initial release

2021-04-05

NSM3

Functions (82)

NSM3

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