# Friedman test

Friedman two-way analysis of varianceFriedman two-way analysis of variance by ranksFriedman's analysis of variance by ranks
The Friedman test is a non-parametric statistical test developed by Milton Friedman.wikipedia
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### Durbin test

Applicable to complete block designs, it is thus a special case of the Durbin test.
In the analysis of designed experiments, the Friedman test is the most common non-parametric test for complete block designs.

### Ranking

rankrankedrankings
The procedure involves ranking each row (or block) together, then considering the values of ranks by columns.

### Chi-squared distribution

chi-squaredchi-square distributionchi square distribution
Many other statistical tests also use this distribution, such as Friedman's analysis of variance by ranks.

### Analysis of variance

ANOVAanalysis of variance (ANOVA)corrected the means
Similar to the parametric repeated measures ANOVA, it is used to detect differences in treatments across multiple test attempts.
The Kruskal–Wallis test and the Friedman test are nonparametric tests, which do not rely on an assumption of normality.

### Milton Friedman

FriedmanFriedman, MiltonMilton
The Friedman test is a non-parametric statistical test developed by Milton Friedman.

### Kendall's W

coefficients of concordanceKendall’s coefficient of concordance
It is a normalization of the statistic of the Friedman test, and can be used for assessing agreement among raters.

### Kruskal–Wallis one-way analysis of variance

Kruskal–Wallis testKruskal-Wallis one-way analysis of varianceKruskal–Wallis
In its use of ranks it is similar to the Kruskal–Wallis one-way analysis of variance by ranks.

### Cochran's Q test

Cochran's QQ statistic

### Nonparametric statistics

non-parametricnon-parametric statisticsnonparametric
The Friedman test is a non-parametric statistical test developed by Milton Friedman.

### Statistical hypothesis testing

hypothesis testingstatistical teststatistical tests
The Friedman test is a non-parametric statistical test developed by Milton Friedman.

### Parametric statistics

parametricparametric testparametric inference
Similar to the parametric repeated measures ANOVA, it is used to detect differences in treatments across multiple test attempts.

### Repeated measures design

repeated measuresrepeated-measures designCarryover effect
Similar to the parametric repeated measures ANOVA, it is used to detect differences in treatments across multiple test attempts.

### Blocking (statistics)

Randomized block designblockingblocks
Applicable to complete block designs, it is thus a special case of the Durbin test.

### Comparison of statistical packages

Econometric softwareEconometrics softwarestatistical computer packages
Friedman test is widely supported by many statistical software packages.

### Matrix (mathematics)

matrixmatricesmatrix theory

### Probability distribution

distributioncontinuous probability distributiondiscrete probability distribution

### P-value

p''-valuepp''-values

### Statistical significance

statistically significantsignificantsignificance level

### Multiple comparisons problem

multiple comparisonsmultiple testingmultiple comparison

### Wilcoxon signed-rank test

Wilcoxon Signed Rank Testsigned-ranksWilcoxon

### R (programming language)

RR programming languageCRAN
Eisinga, Heskes, Pelzer and Te Grotenhuis (2017) provide an exact test for pairwise comparison of Friedman rank sums, implemented in R. Not all statistical packages support Post-hoc analysis for Friedman's test, but user-contributed code exists that provides these facilities (for example in SPSS, and in R.

### Post hoc analysis

Post-hoc analysispost-hocpost hoc
Post-hoc tests were proposed by Schaich and Hamerle (1984) as well as Conover (1971, 1980) in order to decide which groups are significantly different from each other, based upon the mean rank differences of the groups.

### SPSS

IBM SPSS StatisticsPredictive Analytics SoftWare (PASW)SCSS
Not all statistical packages support Post-hoc analysis for Friedman's test, but user-contributed code exists that provides these facilities (for example in SPSS, and in R.

### Cultural consensus theory

consensus analysis
Although there are statistical methods to evaluate whether agreement among raters is greater than chance (Binomial test, Friedman test, or Kendall’s coefficient of concordance), these methods do not provide a best estimate of the “true” answers nor do they estimate competence of the raters.

### List of Nobel Memorial Prize laureates in Economics

Nobel laureateNobel laureates in economicsEconomics