Nonparametric location tests for one and two samples

Install required packages

coin, DescTools

One-sample

Sign-test

Two-sided test


    One-sample Sign-Test

data:  DV
S = 15, number of differences = 19, p-value = 0.01921
alternative hypothesis: true median is not equal to 30
95.9 percent confidence interval:
 41 90
sample estimates:
median of the differences 
                       61 

Wilcoxon signed rank test


    Wilcoxon signed rank test

data:  IQ
V = 48, p-value = 0.01855
alternative hypothesis: true location is greater than 110
95 percent confidence interval:
 113.5   Inf
sample estimates:
(pseudo)median 
           121 

Two independent samples

Sign-test

Looks at the number of cases in each group which are below or above the median of the combined data.


    Exact Two-Sample Brown-Mood Median Test

data:  DV by IV (A, B)
Z = -1.7146, p-value = 0.1482
alternative hypothesis: true mu is not equal to 0

Wilcoxon rank-sum test (\(=\) Mann-Whitney \(U\)-test)


    Wilcoxon rank sum test

data:  DV by IV
W = 193, p-value = 0.01703
alternative hypothesis: true location shift is less than 0
95 percent confidence interval:
      -Inf -2.402814
sample estimates:
difference in location 
             -9.133036 

    Exact Wilcoxon-Mann-Whitney Test

data:  DV by IV (A, B)
Z = -2.1189, p-value = 0.01703
alternative hypothesis: true mu is less than 0
95 percent confidence interval:
      -Inf -2.402814
sample estimates:
difference in location 
             -9.133036 

van der Waerden normal scores test


    Approximative Two-Sample van der Waerden (Normal Quantile) Test

data:  DV by IV (A, B)
Z = -2.2034, p-value = 0.0291
alternative hypothesis: true mu is not equal to 0

Fisher-Pitman permutation test with untransformed response values


    Approximative Two-Sample Fisher-Pitman Permutation Test

data:  DV by IV (A, B)
Z = -2.2796, p-value = 0.0195
alternative hypothesis: true mu is not equal to 0

Two dependent samples

Sign-test

Two-sided test


    One-sample Sign-Test

data:  DVdiff$DV
S = 11, number of differences = 20, p-value = 0.8238
alternative hypothesis: true median is not equal to 0
95.9 percent confidence interval:
 -9.600381 18.945197
sample estimates:
median of the differences 
                 3.309316 

Wilcoxon signed rank test


    Wilcoxon signed rank test

data:  DV by IV
V = 79, p-value = 0.1744
alternative hypothesis: true location shift is less than 0

Using package coin


    Exact Wilcoxon-Pratt Signed-Rank Test

data:  y by x (pos, neg) 
     stratified by block
Z = -0.97065, p-value = 0.1744
alternative hypothesis: true mu is less than 0

Based on data in wide format

van der Waerden normal scores test


    Approximative Two-Sample van der Waerden (Normal Quantile) Test

data:  DV by IV (pre, post) 
     stratified by id
Z = -0.79697, p-value = 0.2194
alternative hypothesis: true mu is less than 0

Fisher-Pitman permutation test with untransformed response values


    Approximative Two-Sample Fisher-Pitman Permutation Test

data:  DV by IV (pre, post) 
     stratified by id
Z = -1.0843, p-value = 0.2775
alternative hypothesis: true mu is not equal to 0

Detach (automatically) loaded packages (if possible)

Get the article source from GitHub

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