Available Hypothesis Tests

FunctionDescription
ansaribradley

Ansari-Bradley test. Tests if two independent samples come from the same distribution, against the alternative that they come from distributions that have the same median and shape but different variances.

barttest

Bartlett's test. Tests if the variances of the data values along each principal component are equal, against the alternative that the variances are not all equal.

chi2gof

Chi-square goodness-of-fit test. Tests if a sample comes from a specified distribution, against the alternative that it does not come from that distribution.

dwtest

Durbin-Watson test. Tests if the residuals from a linear regression are uncorrelated, against the alternative that there is autocorrelation among them.

friedman

Friedman's test. Tests if the column effects in a two-way layout are all the same, against the alternative that the column effects are not all the same.

jbtest

Jarque-Bera test. Tests if a sample comes from a normal distribution with unknown mean and variance, against the alternative that it does not come from a normal distribution.

kruskalwallis

Kruskal-Wallis test. Tests if multiple samples are all drawn from the same populations (or equivalently, from different populations with the same distribution), against the alternative that they are not all drawn from the same population.

kstest

One-sample Kolmogorov-Smirnov test. Tests if a sample comes from a continuous distribution with specified parameters, against the alternative that it does not come from that distribution.

kstest2

Two-sample Kolmogorov-Smirnov test. Tests if two samples come from the same continuous distribution, against the alternative that they do not come from the same distribution.

lillietest

Lilliefors test. Tests if a sample comes from a distribution in the normal family, against the alternative that it does not come from a normal distribution.

linhyptest

Linear hypothesis test. Tests if H*b = c for parameter estimates b with estimated covariance H and specified c, against the alternative that H*b ≠ c.

ranksum

Wilcoxon rank sum test. Tests if two independent samples come from identical continuous distributions with equal medians, against the alternative that they do not have equal medians.

runstest

Runs test. Tests if a sequence of values comes in random order, against the alternative that the ordering is not random.

signrank

One-sample or paired-sample Wilcoxon signed rank test. Tests if a sample comes from a continuous distribution symmetric about a specified median, against the alternative that it does not have that median.

signtest

One-sample or paired-sample sign test. Tests if a sample comes from an arbitrary continuous distribution with a specified median, against the alternative that it does not have that median.

ttest

One-sample or paired-sample t-test. Tests if a sample comes from a normal distribution with unknown variance and a specified mean, against the alternative that it does not have that mean.

ttest2

Two-sample t-test. Tests if two independent samples come from normal distributions with unknown but equal (or, optionally, unequal) variances and the same mean, against the alternative that the means are unequal.

vartest

One-sample chi-square variance test. Tests if a sample comes from a normal distribution with specified variance, against the alternative that it comes from a normal distribution with a different variance.

vartest2

Two-sample F-test for equal variances. Tests if two independent samples come from normal distributions with the same variance, against the alternative that they come from normal distributions with different variances.

vartestn

Bartlett multiple-sample test for equal variances. Tests if multiple samples come from normal distributions with the same variance, against the alternative that they come from normal distributions with different variances.

ztest

One-sample z-test. Tests if a sample comes from a normal distribution with known variance and specified mean, against the alternative that it does not have that mean.

    Note:   In addition to the previous functions, Statistics Toolbox™ functions are available for analysis of variance (ANOVA), which perform hypothesis tests in the context of linear modeling.

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