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Nonparametric statistics
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==Methods== '''Non-parametric''' (or '''distribution-free''') '''inferential statistical methods''' are mathematical procedures for statistical hypothesis testing which, unlike [[parametric statistics]], make no assumptions about the [[probability distribution]]s of the variables being assessed. The most frequently used tests include * [[Analysis of similarities]] * [[Anderson–Darling test]]: tests whether a sample is drawn from a given distribution * [[Bootstrapping (statistics)|Statistical bootstrap methods]]: estimates the accuracy/sampling distribution of a statistic * [[Cochran's Q test|Cochran's Q]]: tests whether ''k'' treatments in randomized block designs with 0/1 outcomes have identical effects * [[Cohen's kappa]]: measures inter-rater agreement for categorical items * [[Friedman test|Friedman two-way analysis of variance (Repeated Measures)]] by ranks: tests whether ''k'' treatments in randomized block designs have identical effects * [[Empirical likelihood]] * [[Kaplan–Meier estimator|Kaplan–Meier]]: estimates the survival function from lifetime data, modeling censoring * [[Kendall tau rank correlation coefficient|Kendall's tau]]: measures statistical dependence between two variables * [[Kendall's W]]: a measure between 0 and 1 of inter-rater agreement. * [[Kolmogorov–Smirnov test]]: tests whether a sample is drawn from a given distribution, or whether two samples are drawn from the same distribution. * [[Kruskal–Wallis one-way analysis of variance]] by ranks: tests whether > 2 independent samples are drawn from the same distribution. * [[Kuiper's test]]: tests whether a sample is drawn from a given distribution, sensitive to cyclic variations such as day of the week. * [[Logrank test]]: compares survival distributions of two right-skewed, censored samples. * [[Mann–Whitney U]] or Wilcoxon rank sum test: tests whether two samples are drawn from the same distribution, as compared to a given alternative hypothesis. * [[McNemar's test]]: tests whether, in 2 × 2 contingency tables with a dichotomous trait and matched pairs of subjects, row and column marginal frequencies are equal. * [[Median test]]: tests whether two samples are drawn from distributions with equal medians. * [[Pitman permutation test|Pitman's permutation test]]: a statistical significance test that yields exact ''p'' values by examining all possible rearrangements of labels. * [[Rank product]]s: detects differentially expressed genes in replicated microarray experiments. * [[Siegel–Tukey test]]: tests for differences in scale between two groups. * [[Sign test]]: tests whether matched pair samples are drawn from distributions with equal medians. * [[Spearman's rank correlation coefficient]]: measures statistical dependence between two variables using a monotonic function. * [[Squared ranks test]]: tests equality of variances in two or more samples. * [[Tukey–Duckworth test]]: tests equality of two distributions by using ranks. * [[Wald–Wolfowitz runs test]]: tests whether the elements of a sequence are mutually independent/random. * [[Wilcoxon signed-rank test]]: tests whether matched pair samples are drawn from populations with different mean ranks. * Universal Linear Fit Identification: A Method Independent of Data, Outliers and Noise Distribution Model and Free of Missing or Removed Data Imputation.<ref>{{cite journal |last1=Adikaram |first1=K. K. L. B. |last2=Hussein |first2=M. A. |last3=Effenberger |first3=M. |last4=Becker |first4=T. |title=Universal Linear Fit Identification: A Method Independent of Data, Outliers and Noise Distribution Model and Free of Missing or Removed Data Imputation |journal=PLOS ONE |date=16 November 2015 |volume=10 |issue=11 |pages=e0141486 |doi=10.1371/journal.pone.0141486 |doi-access=free |pmid=26571035 |pmc=4646355 |bibcode=2015PLoSO..1041486A |language=en |issn=1932-6203}}</ref>
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