signed-ranks test: meaning, definition, pronunciation and examples
C2Technical/Academic
Quick answer
What does “signed-ranks test” mean?
A non-parametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.
Audio
Pronunciation
Definition
Meaning and Definition
A non-parametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.
Specifically refers to the Wilcoxon signed-rank test, which is used as an alternative to the paired Student's t-test when the population cannot be assumed to be normally distributed. It ranks the differences between pairs, ignoring the sign, then reassigns the signs to the ranks to calculate the test statistic.
Dialectal Variation
British vs American Usage
Differences
No significant lexical differences; the term is identical in both varieties. Potential minor differences in surrounding explanatory language (e.g., 'carry out' vs. 'run' a test).
Connotations
Purely technical, with no cultural or connotative differences between UK and US usage.
Frequency
Equally low-frequency and specialized in both dialects, confined to academic, scientific, and professional statistical discourse.
Grammar
How to Use “signed-ranks test” in a Sentence
[researcher] performed a signed-ranks test on [data] to compare [conditions]A signed-ranks test was used to analyse [measurements]The [variable] was assessed using a signed-ranks testVocabulary
Collocations
Examples
Examples of “signed-ranks test” in a Sentence
noun
British English
- The signed-ranks test is appropriate for the ordinal data collected in the study.
- We selected a signed-ranks test due to the skewed nature of the differences.
American English
- The signed-ranks test was run using the statistical software package.
- A signed-ranks test is often the fallback when the t-test's assumptions are violated.
Usage
Meaning in Context
Business
Rare, except in advanced analytics, market research, or A/B testing reports where non-normal data is analysed.
Academic
Primary context. Common in psychology, medicine, biology, and social sciences research papers and methodology textbooks.
Everyday
Virtually never used.
Technical
Core usage in statistics, data science, and research methodology. Appears in software documentation (e.g., R, SPSS, SAS) and statistical analysis plans.
Vocabulary
Synonyms of “signed-ranks test”
Strong
Neutral
Weak
Vocabulary
Antonyms of “signed-ranks test”
Watch out
Common Mistakes When Using “signed-ranks test”
- Calling it the 'sign-rank test' (missing the '-ed' and 's').
- Confusing it with the Mann-Whitney U test (which is for independent samples).
- Using it for unpaired or independent data.
- Incorrectly assuming it tests for differences in medians without checking the symmetry of the distribution of differences.
FAQ
Frequently Asked Questions
No, they are different. The signed-ranks test (Wilcoxon signed-rank test) is for paired or matched data. The Wilcoxon rank-sum test, also known as the Mann-Whitney U test, is for comparing two independent samples.
It refers to the sign (positive or negative) of the difference between each pair of observations. The test ranks the absolute differences, then applies the original signs to those ranks for the final calculation.
Not directly. The standard Wilcoxon signed-ranks test is strictly for two related conditions. For comparing more than two related samples, the Friedman test is the non-parametric equivalent.
The null hypothesis is that the median of the differences between the pairs is zero, implying no systematic difference between the two related sets of measurements.
A non-parametric statistical test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.
Signed-ranks test is usually technical/academic in register.
Signed-ranks test: in British English it is pronounced /ˌsaɪnd ˈræŋks ˌtest/, and in American English it is pronounced /ˌsaɪnd ˈræŋks ˌtest/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of 'signed-ranks' as giving a 'sign' (plus or minus) to 'ranks' (the ordered positions) of the differences you're testing.
Conceptual Metaphor
A JUDGE RANKING EVIDENCE: The test acts like a judge who first orders the pieces of evidence (differences) by their strength (absolute size = ranks), then decides which side they support (positive or negative sign).
Practice
Quiz
What is the primary reason for choosing a signed-ranks test over a paired t-test?