fsml_signedrank_paired Interface

public interface fsml_signedrank_paired

The Wilcoxon signed rank test is a non-parametric test that determines if two related paired samples come from the same distribution. It can be regarded as a non-parametric version of the paired t-test.

Hypotheses:

The Wilcoxon signed rank test is mathematically equivalent to the 1-sample Wilcoxon signed rank test conducted on the difference vector $d = x_1 - x_2$ with $mu_0$ set to zero. Consequently, the the null hypothesis $H_0$ can be expressed as:

Samples $x_1 - x_2$ are symmetric around $\mu = 0$.

The default alternative hypothesis $H_1$ is two-sided and also be set explicitly (h1 = "two"). It can be expressed as:

Samples $x_1 - x_2$ are symmetric around $\mu \neq 0$

If the alternative hypothesis is set to "greater than" (h1 = "gt"), it is:

Samples $x_1 - x_2$ are symmetric around $\mu > 0$

If the alternative hypothesis is set to "less than" (h1 = "lt"), it is:

Samples $x_1 - x_2$ are symmetric around $\mu < 0$

The procedure takes into consideration tied ranks.

Module Procedures