Rank Test (other)
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Rank Test (other)
{{Short description, Type of statistical test In statistics, a rank test is any Statistical hypothesis testing, test involving ranking, ranks. Rank tests are related to permutation tests. Motivation The motivation to test differences between samples is that ranks are in some sense maximally Invariant (mathematics), invariant to monotone transformations. This may be important when there is outliers or when dealing with ordinal data. Examples *Wilcoxon signed-rank test *Kruskal–Wallis one-way analysis of variance **Mann–Whitney U (special case) *Page's trend test *Friedman test *Rank products *Cucconi test *Lepage test Literature

* Boos, D.D., Stefanski, L.A. (2013). Permutation and Rank Tests. In: Essential Statistical Inference. Springer Texts in Statistics, vol 120. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4818-1_12 Statistical tests ...
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Statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of statistical survey, surveys and experimental design, experiments. When census data (comprising every member of the target population) cannot be collected, statisticians collect data by developing specific experiment designs and survey sample (statistics), samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample ...
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