Nemenyi test
Encyclopedia
In statistics
, the Nemenyi test is a post-hoc test
intended to find the groups of data that differ after a statistical test of multiple comparisons
(such as the Friedman test
) has rejected the null hypothesis
that the performance of the comparisons on the groups of data is similar. The test makes pair-wise tests of performance.
The test is named after Peter Nemenyi
.
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
, the Nemenyi test is a post-hoc test
Post-hoc analysis
Post-hoc analysis , in the context of design and analysis of experiments, refers to looking at the data—after the experiment has concluded—for patterns that were not specified a priori. It is sometimes called by critics data dredging to evoke the sense that the more one looks the more likely...
intended to find the groups of data that differ after a statistical test of multiple comparisons
Multiple comparisons
In statistics, the multiple comparisons or multiple testing problem occurs when one considers a set of statistical inferences simultaneously. Errors in inference, including confidence intervals that fail to include their corresponding population parameters or hypothesis tests that incorrectly...
(such as the Friedman test
Friedman test
The Friedman test is a non-parametric statistical test developed by the U.S. economist Milton Friedman. Similar to the parametric repeated measures ANOVA, it is used to detect differences in treatments across multiple test attempts. The procedure involves ranking each row together, then...
) has rejected the null hypothesis
Null hypothesis
The practice of science involves formulating and testing hypotheses, assertions that are capable of being proven false using a test of observed data. The null hypothesis typically corresponds to a general or default position...
that the performance of the comparisons on the groups of data is similar. The test makes pair-wise tests of performance.
The test is named after Peter Nemenyi
Peter Nemenyi
Peter Björn Nemenyi was an American statistician and civil-rights activist of Jewish Hungarian descent. He was the son of Paul Nemenyi one of the most eminent hydrologists of the twentieth century...
.
Reference
- Nemenyi, P.B. (1963) Distribution-free Multiple Comparisons. PhD thesis, Princeton University.