Sign test
Test whether paired scores change direction, ignoring how large the change is.
When to use it
Use the sign test when you only care whether each pair went up or down. It is the simpler alternative to the Wilcoxon signed-rank test and the paired t-test.
Assumptions
Each row is one pair. Ties (no change) are counted and then set aside.
Running it in Tensr
Options
Prop
Type
Reading the output
A second set of 48 pairs whose true change is about zero. The sign test only counts who went up and who went down.
Sign test comparing before_ns and after_ns, n = 48 pairs. The primary result is not significant (p = .471). This is not large enough to treat the comparison this page is about as a reliable association. The result is non-significant: the data are still compatible with no effect. Metrics: Positive diffs = 27; Negative diffs = 21; p-value = .471.
Reporting (APA 7)
Sign test comparing before_ns and after_ns, n = 48 pairs. This result is not significant (p = .471). Report the estimate with that p, and do not describe the pattern as a reliable effect.
Coming from SPSS
Analyze → Nonparametric Tests → Related Samples.