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10 COMPARISON - 1 GROUP
The value of the Kolmogorov-Smirnov and the Lilliefors test sta s c is exactly the same and amounts
to 0.1357, but the p value = 0.763881 for the Kolmogorov-Smirnov test and the p value =0.364381 for
Lilliefors test. Both tests indicate, that using the significance level α=0.05 you are not allowed to reject
the null hypothesis which informs, that the analysed data performs the normal distribu on.
10.2.2 The Wilcoxon test (signed-ranks)
The Wilcoxon signed-ranks test is also known as the Wilcoxon single sample test, Wilcoxon (1945,
1949)[83]. This test is used to verify the hypothesis, that the analysed sample comes from the popula on, where median (θ) is a given value.
Basic assump ons:
− measurement on an ordinal scale or on an interval scale.
Hypotheses:
H0 : θ = θ0 ,
H1 : θ ̸= θ0 .
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