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Mathematica

Error with KolmogorovSmirnovTest (and DistributionFitTest)

Michael E
Posted 10 years ago

Hello,

Do you know how to use this function with non-rectangular arrays (not the same number of values for the different x)?

In[10]:= KolmogorovSmirnovTest[{{2, 4, 3}, {3, 9, 4}}, {{2, 4, 3}, {3,
    9, 4}}]

Out[10]= 1.

but

In[11]:= KolmogorovSmirnovTest[{{2, 4, 3, 4}, {3, 9, 4}}, {{2, 4, 
   3}, {3, 9, 4}}]

During evaluation of In[11]:= KolmogorovSmirnovTest::rctnln: The argument {{2,4,3,4},{3,9,4}} at position 1 should be a rectangular array of real numbers with length greater than the dimension of the array. >>

Out[11]= KolmogorovSmirnovTest[{{2, 4, 3, 4}, {3, 9, 4}}, {{2, 4, 
   3}, {3, 9, 4}}]

The input arguments abide by the syntax of the function for multivariate data in both cases ( https://reference.wolfram.com/language/ref/KolmogorovSmirnovTest.html ).

Thank you
POSTED BY: Michael E
5 Replies
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If I understand you correctly, you are giving a list of values like:

{{x,y1,y2, y3...}, ....}

That is not the form of input that the function accepts.

The input to the function should instead look like: 

{{x,y1}, {x,y2}, {x,y3}}, ....}

In a previous post on the form, you asked how to convert from this format into the incorrect format you are using above.
POSTED BY: Sean Clarke

You cannot use a non-rectangular array. It doesn't make sense. What kind of distribution gives out vectors of different lengths?

Can you define what it means to do a goodness of fit test against a set of vectors of different lenghts?
POSTED BY: Sean Clarke
Michael E
Michael E
Posted 10 years ago
POSTED BY: Michael E 
In[18]:= data = {{{2, 4, 3}, {3, 9, 4}}, {{2, 4, 3}, {3, 9, 4}}};

In[19]:= KolmogorovSmirnovTest[data]

Out[19]= KolmogorovSmirnovTest[{{{2, 4, 3}, {3, 9, 4}}, {{2, 4, 
    3}, {3, 9, 4}}}]

In[20]:= Show[SmoothHistogram[data, PlotStyle -> Orange], 
 Plot[PDF[NormalDistribution[], x], {x, -4, 4}]]

enter image description here
POSTED BY: Simon Cadrin
Michael E
Michael E
Posted 10 years ago
POSTED BY: Michael E
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