Wolfram Function Repository
Instantuse addon functions for the Wolfram Language
Function Repository Resource:
Use a discrete cosine transform–based method to test the randomness of a sequence of random reals
ResourceFunction["SpectralRandomnessTest"][sequence] conducts a discrete cosine transformbased test to asses the randomness of either a sequence of 0s and 1s or reals between 0 and 1. 

ResourceFunction["SpectralRandomnessTest"][sequence,"property"] conducts a discrete cosine transformbased test and returns the associated property. 
"TestStatistic"  returns the test statistic 
"PValue"  returns the pvalue associated with the test 
Generate a sequence of random reals and apply a discrete cosine transformbased test:
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Visualize the sequence:
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Generate a sequence of random integers and apply a discrete cosine transformbased test:
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Visualize the sequence:
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Attempt to reject a nonrandom sequence:
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Test to see if rule 30 is random according to the spectral test:
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For nonrandom data, the Kolmogorov–Smirnov test, a part of the entire test, may return ties. Observing such ties is a strong indicator that the data is non–random:
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Visualize the sampling distribution of the test statistic:
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