# Calculate Pairwise Multiple Comparisons of Mean Rank Sums Extended

## Documentation for package ‘PMCMRplus’ version 1.9.6

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Code demos. Use demo() to run them.
- Package NEWS.

## Help Pages

A B C D F G H J K L M N O P Q R S T U V W

## -- A --

adAllPairsTest | Anderson-Darling All-Pairs Comparison Test
adAllPairsTest.default | Anderson-Darling All-Pairs Comparison Test
adAllPairsTest.formula | Anderson-Darling All-Pairs Comparison Test
adKSampleTest | Anderson-Darling k-Sample Test
adKSampleTest.default | Anderson-Darling k-Sample Test
adKSampleTest.formula | Anderson-Darling k-Sample Test
adManyOneTest | Anderson-Darling Many-To-One Comparison Test
adManyOneTest.default | Anderson-Darling Many-To-One Comparison Test
adManyOneTest.formula | Anderson-Darling Many-To-One Comparison Test
algae | Algae Growth Inhibition Data Set

## -- B --

barPlot | Plotting PMCMR Objects
bwsAllPairsTest | BWS All-Pairs Comparison Test
bwsAllPairsTest.default | BWS All-Pairs Comparison Test
bwsAllPairsTest.formula | BWS All-Pairs Comparison Test
bwsKSampleTest | Murakami's k-Sample BWS Test
bwsKSampleTest.default | Murakami's k-Sample BWS Test
bwsKSampleTest.formula | Murakami's k-Sample BWS Test
bwsManyOneTest | BWS Many-To-One Comparison Test
bwsManyOneTest.default | BWS Many-To-One Comparison Test
bwsManyOneTest.formula | BWS Many-To-One Comparison Test
bwsTrendTest | Testing against Ordered Alternatives (Murakami's BWS Trend Test)
bwsTrendTest.default | Testing against Ordered Alternatives (Murakami's BWS Trend Test)
bwsTrendTest.formula | Testing against Ordered Alternatives (Murakami's BWS Trend Test)

## -- C --

chaAllPairsNashimotoTest | All-Pairs Comparisons for Simply Ordered Mean Ranksums
chaAllPairsNashimotoTest.default | All-Pairs Comparisons for Simply Ordered Mean Ranksums
chaAllPairsNashimotoTest.formula | All-Pairs Comparisons for Simply Ordered Mean Ranksums
chackoTest | Testing against Ordered Alternatives (Chacko's Test)
chackoTest.default | Testing against Ordered Alternatives (Chacko's Test)
chackoTest.formula | Testing against Ordered Alternatives (Chacko's Test)
chenJanTest | Chen and Jan Many-to-One Comparisons Test
chenJanTest.default | Chen and Jan Many-to-One Comparisons Test
chenTest | Chen's Many-to-One Comparisons Test
chenTest.default | Chen's Many-to-One Comparisons Test
chenTest.formula | Chen's Many-to-One Comparisons Test
Cochran | Cochran's distribution
cochranTest | Cochran Test
cochranTest.default | Cochran Test
cochranTest.formula | Cochran Test
cuzickTest | Testing against Ordered Alternatives (Cuzick's Test)
cuzickTest.default | Testing against Ordered Alternatives (Cuzick's Test)
cuzickTest.formula | Testing against Ordered Alternatives (Cuzick's Test)

## -- D --

default | Dunn's All-Pairs Rank Comparison Test
Dgrubbs | Grubbs D* distribution
doubleGrubbsTest | Grubbs Double Outlier Test
dscfAllPairsTest | Multiple Comparisons of Mean Rank Sums
dscfAllPairsTest.default | Multiple Comparisons of Mean Rank Sums
dscfAllPairsTest.formula | Multiple Comparisons of Mean Rank Sums
duncanTest | Duncan's Multiple Range Test
duncanTest.aov | Duncan's Multiple Range Test
duncanTest.default | Duncan's Multiple Range Test
duncanTest.formula | Duncan's Multiple Range Test
Dunnett | Dunnett Distribution
dunnettT3Test | Dunnett's T3 Test
dunnettT3Test.aov | Dunnett's T3 Test
dunnettT3Test.default | Dunnett's T3 Test
dunnettT3Test.formula | Dunnett's T3 Test
dunnettTest | Dunnett's Many-to-One Comparisons Test
dunnettTest.aov | Dunnett's Many-to-One Comparisons Test
dunnettTest.default | Dunnett's Many-to-One Comparisons Test
dunnettTest.formula | Dunnett's Many-to-One Comparisons Test
durbinAllPairsTest | All-Pairs Comparisons Test for Balanced Incomplete Block Designs
durbinAllPairsTest.default | All-Pairs Comparisons Test for Balanced Incomplete Block Designs
durbinTest | Durbin Test
durbinTest.default | Durbin Test

## -- F --

flignerWolfeTest | Testing Several Treatments With One Control
flignerWolfeTest.default | Testing Several Treatments With One Control
flignerWolfeTest.formula | Testing Several Treatments With One Control
frdAllPairsConoverTest | Conover's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsConoverTest.default | Conover's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsExactTest | Exact All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsExactTest.default | Exact All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsMillerTest | Millers's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsMillerTest.default | Millers's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsNemenyiTest | Nemenyi's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsNemenyiTest.default | Nemenyi's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsNemenyiTest.formula | Nemenyi's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsSiegelTest | Siegel and Castellan's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdAllPairsSiegelTest.default | Siegel and Castellan's All-Pairs Comparisons Test for Unreplicated Blocked Data
frdHouseTest | House Test
frdHouseTest.default | House Test
frdManyOneDemsarTest | Demsar's Many-to-One Test for Unreplicated Blocked Data
frdManyOneDemsarTest.default | Demsar's Many-to-One Test for Unreplicated Blocked Data
frdManyOneExactTest | Exact Many-to-One Test for Unreplicated Blocked Data
frdManyOneExactTest.default | Exact Many-to-One Test for Unreplicated Blocked Data
frdManyOneNemenyiTest | Nemenyi's Many-to-One Test for Unreplicated Blocked Data
frdManyOneNemenyiTest.default | Nemenyi's Many-to-One Test for Unreplicated Blocked Data
friedmanTest | Friedman Rank Sum Test
friedmanTest.default | Friedman Rank Sum Test

## -- G --

gamesHowellTest | Games-Howell Test
gamesHowellTest.aov | Games-Howell Test
gamesHowellTest.default | Games-Howell Test
gamesHowellTest.formula | Games-Howell Test
gesdTest | Generalized Extreme Studentized Deviate Many-Outlier Test
goreTest | Gore Test
Grubbs | Grubbs distribution
grubbsTest | Grubbs Outlier Test
GSTTest | Generalized Siegel-Tukey Test of Homogeneity of Scales
GSTTest.default | Generalized Siegel-Tukey Test of Homogeneity of Scales
GSTTest.formula | Generalized Siegel-Tukey Test of Homogeneity of Scales

## -- H --

hartleyTest | Hartley's Maximum F-Ratio Test of Homogeneity of Variances
hartleyTest.default | Hartley's Maximum F-Ratio Test of Homogeneity of Variances
hartleyTest.formula | Hartley's Maximum F-Ratio Test of Homogeneity of Variances
hayterStoneTest | Hayter-Stone Test
hayterStoneTest.default | Hayter-Stone Test
hayterStoneTest.formula | Hayter-Stone Test
hsAllPairsTest | Hayter-Stone All-Pairs Comparison Test
hsAllPairsTest.default | Hayter-Stone All-Pairs Comparison Test
hsAllPairsTest.formula | Hayter-Stone All-Pairs Comparison Test

## -- J --

johnsonTest | Testing against Ordered Alternatives (Johnson-Mehrotra Test)
johnsonTest.default | Testing against Ordered Alternatives (Johnson-Mehrotra Test)
johnsonTest.formula | Testing against Ordered Alternatives (Johnson-Mehrotra Test)
jonckheereTest | Testing against Ordered Alternatives (Jonckheere-Terpstra Test)
jonckheereTest.default | Testing against Ordered Alternatives (Jonckheere-Terpstra Test)
jonckheereTest.formula | Testing against Ordered Alternatives (Jonckheere-Terpstra Test)

## -- K --

kruskalTest | Kruskal-Wallis Rank Sum Test
kruskalTest.default | Kruskal-Wallis Rank Sum Test
kruskalTest.formula | Kruskal-Wallis Rank Sum Test
kwAllPairsConoverTest | Conover's All-Pairs Rank Comparison Test
kwAllPairsConoverTest.default | Conover's All-Pairs Rank Comparison Test
kwAllPairsConoverTest.formula | Conover's All-Pairs Rank Comparison Test
kwAllPairsDunnTest | Dunn's All-Pairs Rank Comparison Test
kwAllPairsDunnTest.default | Dunn's All-Pairs Rank Comparison Test
kwAllPairsDunnTest.formula | Dunn's All-Pairs Rank Comparison Test
kwAllPairsNemenyiTest | Nemenyi's All-Pairs Rank Comparison Test
kwAllPairsNemenyiTest.default | Nemenyi's All-Pairs Rank Comparison Test
kwAllPairsNemenyiTest.formula | Nemenyi's All-Pairs Rank Comparison Test
kwManyOneConoverTest | Conover's Many-to-One Rank Comparison Test
kwManyOneConoverTest.default | Conover's Many-to-One Rank Comparison Test
kwManyOneConoverTest.formula | Conover's Many-to-One Rank Comparison Test
kwManyOneDunnTest | Dunn's Many-to-One Rank Comparison Test
kwManyOneDunnTest.default | Dunn's Many-to-One Rank Comparison Test
kwManyOneDunnTest.formula | Dunn's Many-to-One Rank Comparison Test
kwManyOneNdwTest | Nemenyi-Damico-Wolfe Many-to-One Rank Comparison Test
kwManyOneNdwTest.default | Nemenyi-Damico-Wolfe Many-to-One Rank Comparison Test
kwManyOneNdwTest.formula | Nemenyi-Damico-Wolfe Many-to-One Rank Comparison Test

## -- L --

leTest | Testing against Ordered Alternatives (Le's Test)
leTest.default | Testing against Ordered Alternatives (Le's Test)
leTest.formula | Testing against Ordered Alternatives (Le's Test)
lsdTest | Least Significant Difference Test
lsdTest.aov | Least Significant Difference Test
lsdTest.default | Least Significant Difference Test
lsdTest.formula | Least Significant Difference Test

## -- M --

mackWolfeTest | Mack-Wolfe Test for Umbrella Alternatives
mackWolfeTest.default | Mack-Wolfe Test for Umbrella Alternatives
mackWolfeTest.formula | Mack-Wolfe Test for Umbrella Alternatives
Mandel-h | Mandel's h Distribution
Mandel-k | Mandel's k Distribution
mandelhTest | Mandel's h Test According to E 691 ASTM
mandelhTest.default | Mandel's h Test According to E 691 ASTM
mandelhTest.formula | Mandel's h Test According to E 691 ASTM
mandelkTest | Mandel's k Test According to E 691 ASTM
mandelkTest.default | Mandel's k Test According to E 691 ASTM
mandelkTest.formula | Mandel's k Test According to E 691 ASTM
manyOneUTest | Multiple Comparisons with One Control (U-test)
manyOneUTest.default | Multiple Comparisons with One Control (U-test)
manyOneUTest.formula | Multiple Comparisons with One Control (U-test)
mrrTest | Madhava Rao-Raghunath Test for Testing Treatment vs. Control
mrrTest.default | Madhava Rao-Raghunath Test for Testing Treatment vs. Control
mrrTest.formula | Madhava Rao-Raghunath Test for Testing Treatment vs. Control
MTest | Extended One-Sided Studentised Range Test
MTest.aov | Extended One-Sided Studentised Range Test
MTest.default | Extended One-Sided Studentised Range Test
MTest.formula | Extended One-Sided Studentised Range Test

## -- N --

normalScoresAllPairsTest | Lu-Smith All-Pairs Comparison Normal Scores Test
normalScoresAllPairsTest.default | Lu-Smith All-Pairs Comparison Normal Scores Test
normalScoresAllPairsTest.formula | Lu-Smith All-Pairs Comparison Normal Scores Test
normalScoresManyOneTest | Lu-Smith Many-One Comparisons Normal Scores Test
normalScoresManyOneTest.default | Lu-Smith Many-One Comparisons Normal Scores Test
normalScoresManyOneTest.formula | Lu-Smith Many-One Comparisons Normal Scores Test
normalScoresTest | Lu-Smith Normal Scores Test
normalScoresTest.default | Lu-Smith Normal Scores Test
normalScoresTest.formula | Lu-Smith Normal Scores Test
NPMTest | All-Pairs Comparisons for Simply Ordered Mean Ranksums
NPMTest.default | All-Pairs Comparisons for Simply Ordered Mean Ranksums
NPMTest.formula | All-Pairs Comparisons for Simply Ordered Mean Ranksums

## -- O --

osrtTest | One-Sided Studentized Range Test
osrtTest.aov | One-Sided Studentized Range Test
osrtTest.default | One-Sided Studentized Range Test
osrtTest.formula | One-Sided Studentized Range Test

## -- P --

pageTest | Page Rank Sum Test
pageTest.default | Page Rank Sum Test
pcochran | Cochran's distribution
pdgrubbs | Grubbs D* distribution
pDunnett | Dunnett Distribution
Pentosan | Pentosan Dataset
pgrubbs | Grubbs distribution
plot.mandel | Plotting mandel Objects
plot.PMCMR | Plotting PMCMR Objects
pmandelh | Mandel's h Distribution
pmandelk | Mandel's k Distribution
power.dunnett.test | Power Calculations for Balanced Dunnett's Many-to-One Comparison Test
power.tukey.test | Power Calculations for Balanced Tukey's Multiple Comparison Test
power.williams.test | Power calculations for minimum detectable difference of the Williams' test
powerMCTests | Power Simulation for One-Factorial All-Pairs and Many-To-One Comparison Tests
powerOneWayTests | Power Simulation for One-Factorial Single Hypothesis Tests
print | Mandel Printing
print.gesdTest | gesdTest Printing
print.mandel | Mandel Printing
print.osrt | osrt Printing
print.PMCMR | PMCMR Printing
print.powerOneWayPMCMR | PowerOneWayPMCMR Printing
print.powerPMCMR | PowerPMCMR Printing
print.trendPMCMR | trendPMCMR Printing

## -- Q --

qcochran | Cochran's distribution
qDunnett | Dunnett Distribution
qgrubbs | Grubbs distribution
qmandelh | Mandel's h Distribution
qmandelk | Mandel's k Distribution
qPCR | qPCR Curve Analysis Methods
quadeAllPairsTest | All-Pairs Comparisons for Unreplicated Blocked Data (Quade's All-Pairs Test)
quadeAllPairsTest.default | All-Pairs Comparisons for Unreplicated Blocked Data (Quade's All-Pairs Test)

## -- R --

reviewers | Reviewers

## -- S --

scheffeTest | Scheffe's Test
scheffeTest.aov | Scheffe's Test
scheffeTest.default | Scheffe's Test
scheffeTest.formula | Scheffe's Test
shanTest | Testing against Ordered Alternatives (Shan-Young-Kang Test)
shanTest.default | Testing against Ordered Alternatives (Shan-Young-Kang Test)
shanTest.formula | Testing against Ordered Alternatives (Shan-Young-Kang Test)
shirleyWilliamsTest | Shirley-Williams Test
shirleyWilliamsTest.default | Shirley-Williams Test
shirleyWilliamsTest.formula | Shirley-Williams Test
siegelTukeyTest | Siegel-Tukey Rank Dispersion Test
siegelTukeyTest.default | Siegel-Tukey Rank Dispersion Test
siegelTukeyTest.formula | Siegel-Tukey Rank Dispersion Test
skillingsMackTest | Skillings-Mack Test
skillingsMackTest.default | Skillings-Mack Test
snkTest | Student-Newman-Keuls Test
snkTest.aov | Student-Newman-Keuls Test
snkTest.default | Student-Newman-Keuls Test
snkTest.formula | Student-Newman-Keuls Test
spearmanTest | Testing against Ordered Alternatives (Spearman Test)
spearmanTest.default | Testing against Ordered Alternatives (Spearman Test)
spearmanTest.formula | Testing against Ordered Alternatives (Spearman Test)
steelsKSampleTest | Steel's k-Treatments vs. Control Test
steelsKSampleTest.default | Steel's k-Treatments vs. Control Test
steelsKSampleTest.formula | Steel's k-Treatments vs. Control Test
steelTest | Steel's Many-to-One Rank Test
steelTest.default | Steel's Many-to-One Rank Test
steelTest.formula | Steel's Many-to-One Rank Test
stepDownTrendTest | Step Down Trend Tests
stepDownTrendTest.default | Step Down Trend Tests
stepDownTrendTest.formula | Step Down Trend Tests
summary.gesdTest | Summarize an gesdTest Object
summary.mandel | Object Summary for class '"mandel"'
summary.osrt | Summarize an osrt Object
summary.PMCMR | Summarize an PMCMR Object
summary.trendPMCMR | Summarize an trendPMCMR Object
summaryGroup | Grouped Summary of an PMCMR Object

## -- T --

tamhaneDunnettTest | Tamhane-Dunnett Many-to-One Comparison Test
tamhaneDunnettTest.aov | Tamhane-Dunnett Many-to-One Comparison Test
tamhaneDunnettTest.default | Tamhane-Dunnett Many-to-One Comparison Test
tamhaneDunnettTest.formula | Tamhane-Dunnett Many-to-One Comparison Test
tamhaneT2Test | Tamhane's T2 Test
tamhaneT2Test.aov | Tamhane's T2 Test
tamhaneT2Test.default | Tamhane's T2 Test
tamhaneT2Test.formula | Tamhane's T2 Test
toTidy | Convert a PMCMR or osrt Object to a Data.Frame
trout | Data from a Dose-Response Experiment with Trouts
tukeyTest | Tukey's Multiple Comparison Test
tukeyTest.aov | Tukey's Multiple Comparison Test
tukeyTest.default | Tukey's Multiple Comparison Test
tukeyTest.formula | Tukey's Multiple Comparison Test

## -- U --

uryWigginsHochbergTest | Ury, Wiggins, Hochberg Test
uryWigginsHochbergTest.aov | Ury, Wiggins, Hochberg Test
uryWigginsHochbergTest.default | Ury, Wiggins, Hochberg Test
uryWigginsHochbergTest.formula | Ury, Wiggins, Hochberg Test

## -- V --

vanWaerdenAllPairsTest | van-der-Waerden's All-Pairs Comparison Normal Scores Test
vanWaerdenAllPairsTest.default | van-der-Waerden's All-Pairs Comparison Normal Scores Test
vanWaerdenAllPairsTest.formula | van-der-Waerden's All-Pairs Comparison Normal Scores Test
vanWaerdenManyOneTest | van-der-Waerden's Many-One Comparisons Normal Scores Test
vanWaerdenManyOneTest.default | van-der-Waerden's Many-One Comparisons Normal Scores Test
vanWaerdenManyOneTest.formula | van-der-Waerden's Many-One Comparisons Normal Scores Test
vanWaerdenTest | van der Waerden's Normal Scores Test
vanWaerdenTest.default | van der Waerden's Normal Scores Test
vanWaerdenTest.formula | van der Waerden's Normal Scores Test
vanWeardenTest.default | van der Waerden's Normal Scores Test

## -- W --

welchManyOneTTest | Welchs's Many-To-One Comparison Test
welchManyOneTTest.aov | Welchs's Many-To-One Comparison Test
welchManyOneTTest.default | Welchs's Many-To-One Comparison Test
welchManyOneTTest.formula | Welchs's Many-To-One Comparison Test
williamsTest | Williams Trend Test
williamsTest.aov | Williams Trend Test
williamsTest.default | Williams Trend Test
williamsTest.formula | Williams Trend Test