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Mann–Whitney U test

Index Mann–Whitney U test

In statistics, the Mann–Whitney U test (also called the Mann–Whitney–Wilcoxon (MWW), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric test of the null hypothesis that it is equally likely that a randomly selected value from one sample will be less than or greater than a randomly selected value from a second sample. [1]

65 relations: Aesop, Alternative hypothesis, Annals of Mathematical Statistics, Apache Commons, Biometrics (journal), Brown–Forsythe test, Concept, Cumulative distribution function, Discrimination learning, Effect size, Efficiency (statistics), F-test, Frank Wilcoxon, Hare, Henry Mann, Hodges–Lehmann estimator, Independence (probability theory), Java (programming language), JMP (statistical software), Journal of Consulting and Clinical Psychology, Kendall rank correlation coefficient, Kolmogorov–Smirnov test, Kruskal–Wallis one-way analysis of variance, Level of measurement, List of statistical packages, MATLAB, Median, Nonparametric statistics, Normal distribution, Null hypothesis, Outlier, Power (statistics), Probability distribution, PSPP, Python (programming language), R (programming language), Rank correlation, Receiver operating characteristic, Robust statistics, S-PLUS, SAS (software), SciPy, SigmaStat, Skewness, SPSS, Standard score, Stata, Statistic, Statistica, Statistical hypothesis testing, ..., Statistics, Statistics Surveys, StatsDirect, StatXact, Stochastic ordering, Student's t-test, SYSTAT (software), The American Statistician, The Tortoise and the Hare, Tortoise, Unistat, Variance, Von Neumann universe, Welch's t-test, Wilcoxon signed-rank test. Expand index (15 more) »

Aesop

Aesop (Αἴσωπος,; c. 620 – 564 BCE) was a Greek fabulist and storyteller credited with a number of fables now collectively known as Aesop's Fables.

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Alternative hypothesis

In statistical hypothesis testing, the alternative hypothesis (or maintained hypothesis or research hypothesis) and the null hypothesis are the two rival hypotheses which are compared by a statistical hypothesis test.

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Annals of Mathematical Statistics

The Annals of Mathematical Statistics was a peer-reviewed statistics journal published by the Institute of Mathematical Statistics from 1930 to 1972.

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Apache Commons

The Apache Commons is a project of the Apache Software Foundation, formerly under the Jakarta Project.

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Biometrics (journal)

Biometrics is a journal that publishes articles on the application of statistics and mathematics to the biological sciences.

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Brown–Forsythe test

The Brown–Forsythe test is a statistical test for the equality of group variances based on performing an ANOVA on a transformation of the response variable.

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Concept

Concepts are mental representations, abstract objects or abilities that make up the fundamental building blocks of thoughts and beliefs.

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Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.

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Discrimination learning

In psychology, discrimination learning is the process by which animals or people learn to respond differently to different stimuli.

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Effect size

In statistics, an effect size is a quantitative measure of the magnitude of a phenomenon.

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Efficiency (statistics)

In the comparison of various statistical procedures, efficiency is a measure of quality of an estimator, of an experimental design, or of a hypothesis testing procedure.

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F-test

An F-test is any statistical test in which the test statistic has an ''F''-distribution under the null hypothesis.

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Frank Wilcoxon

Frank Wilcoxon (2 September 1892 – 18 November 1965) was a chemist and statistician, known for the development of several statistical tests.

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Hare

Hares and jackrabbits are leporids belonging to the genus Lepus.

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Henry Mann

Henry Berthold Mann (27 October 1905, Vienna – 1 February 2000, Tucson) was a professor of mathematics and statistics at Ohio State University.

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Hodges–Lehmann estimator

In statistics, the Hodges–Lehmann estimator is a robust and nonparametric estimator of a population's location parameter.

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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

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Java (programming language)

Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.

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JMP (statistical software)

JMP (pronounced "jump") is a suite of computer programs for statistical analysis developed by the JMP business unit of SAS Institute.

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Journal of Consulting and Clinical Psychology

The Journal of Consulting and Clinical Psychology is a monthly academic journal published by the American Psychological Association.

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Kendall rank correlation coefficient

In statistics, the Kendall rank correlation coefficient, commonly referred to as Kendall's tau coefficient (after the Greek letter τ), is a statistic used to measure the ordinal association between two measured quantities.

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Kolmogorov–Smirnov test

In statistics, the Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K–S test), or to compare two samples (two-sample K–S test).

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Kruskal–Wallis one-way analysis of variance

The Kruskal–Wallis test by ranks, Kruskal–Wallis H test, Laerd Statistics (named after William Kruskal and W. Allen Wallis), or one-way ANOVA on ranks is a non-parametric method for testing whether samples originate from the same distribution.

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Level of measurement

Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables.

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List of statistical packages

Statistical software are specialized computer programs for analysis in statistics and econometrics.

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MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.

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Median

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.

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Nonparametric statistics

Nonparametric statistics is the branch of statistics that is not based solely on parameterized families of probability distributions (common examples of parameters are the mean and variance).

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Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

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Null hypothesis

In inferential statistics, the term "null hypothesis" is a general statement or default position that there is no relationship between two measured phenomena, or no association among groups.

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Outlier

In statistics, an outlier is an observation point that is distant from other observations.

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Power (statistics)

The power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis (H0) when a specific alternative hypothesis (H1) is true.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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PSPP

PSPP is a free software application for analysis of sampled data, intended as a free alternative for IBM SPSS Statistics.

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Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

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R (programming language)

R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.

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Rank correlation

In statistics, a rank correlation is any of several statistics that measure an ordinal association—the relationship between rankings of different ordinal variables or different rankings of the same variable, where a "ranking" is the assignment of the ordering labels "first", "second", "third", etc.

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Receiver operating characteristic

In statistics, a receiver operating characteristic curve, i.e. ROC curve, is a graphical plot that illustrates the diagnostic ability of a binary classifier system as its discrimination threshold is varied.

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Robust statistics

Robust statistics are statistics with good performance for data drawn from a wide range of probability distributions, especially for distributions that are not normal.

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S-PLUS

S-PLUS is a commercial implementation of the S programming language sold by TIBCO Software Inc..

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SAS (software)

SAS (previously "Statistical Analysis System") is a software suite developed by SAS Institute for advanced analytics, multivariate analyses, business intelligence, data management, and predictive analytics.

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SciPy

SciPy (pronounced /ˈsaɪpaɪ'/ "Sigh Pie") is a free and open-source Python library used for scientific computing and technical computing.

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SigmaStat

SigmaStat is a statistical software package, which was originally developed by Jandel Scientific Software in the 1980s.

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Skewness

In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

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SPSS

SPSS Statistics is a software package used for interactive, or batched, statistical analysis.

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Standard score

In statistics, the standard score is the signed number of standard deviations by which the value of an observation or data point differs from the mean value of what is being observed or measured.

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Stata

Stata is a general-purpose statistical software package created in 1985 by StataCorp.

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Statistic

A statistic (singular) or sample statistic is a single measure of some attribute of a sample (e.g. its arithmetic mean value).

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Statistica

Statistica is an advanced analytics software package originally developed by StatSoft which was acquired by Dell in March 2014.

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Statistical hypothesis testing

A statistical hypothesis, sometimes called confirmatory data analysis, is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Statistics Surveys

Statistics Surveys is an open-access electronic journal, founded in 2007, that is jointly sponsored by the American Statistical Association, the Bernoulli Society, the Institute of Mathematical Statistics and the Statistical Society of Canada.

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StatsDirect

StatsDirect is a statistical software package designed for biomedical, public health, and general health science uses.

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StatXact

StatXact is a statistical software package for analyzing data using exact statistics.

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Stochastic ordering

In probability theory and statistics, a stochastic order quantifies the concept of one random variable being "bigger" than another.

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Student's t-test

The t-test is any statistical hypothesis test in which the test statistic follows a Student's ''t''-distribution under the null hypothesis.

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SYSTAT (software)

SYSTAT is a statistics and statistical graphics software package, developed by Leland Wilkinson in the late 1970s, who was at the time an assistant professor of psychology at the University of Illinois at Chicago.

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The American Statistician

The American Statistician is a quarterly peer-reviewed scientific journal covering statistics published by Taylor & Francis on behalf of the American Statistical Association.

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The Tortoise and the Hare

"The Tortoise and the Hare" is one of Aesop's Fables and is numbered 226 in the Perry Index.

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Tortoise

Tortoises are a family, Testudinidae. Testudinidae is a Family under the order Testudines and suborder Cryptodira.

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Unistat

The Unistat computer program is a statistical data analysis tool featuring two modes of operation: The stand-alone user interface is a complete workbench for data input, analysis and visualization while the Microsoft Excel add-in mode extends the features of the mainstream spreadsheet application with powerful analytical capabilities.

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Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.

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Von Neumann universe

In set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted V, is the class of hereditary well-founded sets.

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Welch's t-test

In statistics, Welch's t-test, or unequal variances t-test, is a two-sample location test which is used to test the hypothesis that two populations have equal means.

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Wilcoxon signed-rank test

The Wilcoxon signed-rank test is a non-parametric statistical hypothesis test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ (i.e. it is a paired difference test).

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References

[1] https://en.wikipedia.org/wiki/Mann–Whitney_U_test

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