two sample anderson darling test r


  • Details

    The AD test compares two ECDFs by looking at the weighted sum of the squared differences between them – evaluated at each point in the joint sample. The weights are determined by the variance of the joint ECDF at that point, which peaks in the middle of the joint distribution (see figure below). Formally – if E is the ECDF of sample 1, F is the ECD...

  • Value

    Output is a length 2 Vector with test stat and p-value in that order. That vector has 3 attributes – the sample sizes of each sample, and the number of bootstraps performed for the pvalue.

  • Functions

    ad_test: Permutation based two sample Anderson-Darling test

What is the Anderson-Darling test used for?

It consisted of the Anderson-Darling test for the probability of a normal distribution of Mg values, the F test, Student’s unpaired t test, and logarithmic regression and correlation analysis for investigating the relationship between serum i- and t-Mg levels and C Cr. All values are reported as means ± SD.

When did Anderson and Darling use Anderson–Darling statistics?

Anderson, Theodore W.andDarlingD.A. initially used Anderson–Darling statistics, denotedA2,totesttheconformityofadistri- bution with perfectly speci?ed parameters (1952 and 1954). Later on, in the 1960s andespeciallythe1970s,someotherauthors (mostlyStephens)adaptedthetesttoawider range of distributions where some of the parametersmay not be known.

How does the ad test compare two ecdfs?

The AD test compares two ECDFs by looking at the weighted sum of the squared differences between them – evaluated at each point in the joint sample. The weights are determined by the variance of the joint ECDF at that point, which peaks in the middle of the joint distribution (see figure below).

What is a fast randomization based two sample test?

Fast randomization based two sample tests. Testing the hypothesis that two samples come from the same distribution using randomization to create p-values. Included tests are: Kolmogorov-Smirnov, Kuiper, Cramer-von Mises, Anderson-Darling, Wasserstein, and DTS.

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