wants <- c("coin", "DescTools")
has <- wants %in% rownames(installed.packages())
if(any(!has)) install.packages(wants[!has])
kruskal.test()
IQ1 <- c( 99, 131, 118, 112, 128, 136, 120, 107, 134, 122)
IQ2 <- c(134, 103, 127, 121, 139, 114, 121, 132)
IQ3 <- c(110, 123, 100, 131, 108, 114, 101, 128, 110)
IQ4 <- c(117, 125, 140, 109, 128, 137, 110, 138, 127, 141, 119, 148)
Nj <- c(length(IQ1), length(IQ2), length(IQ3), length(IQ4))
KWdf <- data.frame(DV=c(IQ1, IQ2, IQ3, IQ4),
IV=factor(rep(1:4, Nj), labels=c("I", "II", "III", "IV")))
Kruskal-Wallis rank sum test
data: DV by IV
Kruskal-Wallis chi-squared = 6.0595, df = 3, p-value = 0.1087
kruskal_test()
from package coin
Approximative Kruskal-Wallis Test
data: DV by IV (I, II, III, IV)
chi-squared = 6.0595, p-value = 0.1043
Dunn’s Test
Dunn's test of multiple comparisons using rank sums : holm
mean.rank.diff pval
II-I 3.012500 1.0000
III-I -5.800000 0.8038
IV-I 6.241667 0.8031
III-II -8.812500 0.5573
IV-II 3.229167 1.0000
IV-III 12.041667 0.0993 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Conover Test
Conover's test of multiple comparisons : holm
mean.rank.diff pval
II-I 3.012500 1.0000
III-I -5.800000 0.7621
IV-I 6.241667 0.7565
III-II -8.812500 0.5230
IV-II 3.229167 1.0000
IV-III 12.041667 0.1014
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Approximative K-Sample van der Waerden (Normal Quantile) Test
data: DV by IV (I, II, III, IV)
chi-squared = 6.8314, p-value = 0.07061
Approximative K-Sample Fisher-Pitman Permutation Test
data: DV by IV (I, II, III, IV)
chi-squared = 6.8133, p-value = 0.07611
set.seed(123)
P <- 4
Nj <- c(41, 37, 42, 40)
muJ <- rep(c(-1, 0, 1, 2), Nj)
JTdf <- data.frame(IV=ordered(rep(LETTERS[1:P], Nj)),
DV=rnorm(sum(Nj), muJ, 7))
Using JonckheereTerpstraTest()
from package DescTools
.
Jonckheere-Terpstra test
data: DV by IV
JT = 5256, p-value = 0.1609
alternative hypothesis: two.sided
Approximative Linear-by-Linear Association Test
data: DV by IV (A < B < C < D)
Z = 1.3797, p-value = 0.1701
alternative hypothesis: two.sided
friedman.test()
N <- 5
P <- 4
DV1 <- c(14, 13, 12, 11, 10)
DV2 <- c(11, 12, 13, 14, 15)
DV3 <- c(16, 15, 14, 13, 12)
DV4 <- c(13, 12, 11, 10, 9)
Fdf <- data.frame(id=factor(rep(1:N, times=P)),
DV=c(DV1, DV2, DV3, DV4),
IV=factor(rep(1:P, each=N),
labels=LETTERS[1:P]))
Friedman rank sum test
data: DV and IV and id
Friedman chi-squared = 8.2653, df = 3, p-value = 0.04084
friedman_test()
from package coin
Approximative Friedman Test
data: DV by IV (A, B, C, D)
stratified by id
chi-squared = 8.2653, p-value = 0.0296
Approximative K-Sample van der Waerden (Normal Quantile) Test
data: DV by IV (A, B, C, D)
stratified by id
chi-squared = 6.8183, p-value = 0.06011
Approximative K-Sample Fisher-Pitman Permutation Test
data: DV by IV (A, B, C, D)
stratified by id
chi-squared = 6.8182, p-value = 0.06681
N <- 10
P <- 4
muJ <- rep(c(-1, 0, 1, 2), each=N)
Pdf <- data.frame(id=factor(rep(1:N, times=P)),
DV=rnorm(N*P, muJ, 3),
IV=ordered(rep(LETTERS[1:P], each=N)))
Using PageTest()
from package DescTools
.
Page test for ordered alternatives
data: DV and IV and id
L = 276, p-value = 0.002047
Using friedman_test()
from package coin
.
Approximative Page Test
data: DV by IV (A < B < C < D)
stratified by id
Z = 2.8482, p-value = 0.0046
alternative hypothesis: two.sided
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