MATLAB: How to accurately process an Anderson Darling test

adadtestanderson darling testMATLABp-valueprobabilityweibullweibull distribution

I am conducting a Anderson Darling (Adtest) on a set of data and I am trying to verify if what I am getting is correct. However I am getting conflicting answers. In MATLAB I am getting the following: 
Build_Array_Final{1}=[214.42,214.99,215.35,215.98,221.08,222.54,214.78,215,215.32,215.75,217.06,215.91,212.30,213.78,217.16,218.39,224.23,221.94...
    ,215.67,214.04,214.98,215.13]';
[h,p,adstat,cv] = adtest(Build_Array_Final{1},'Distribution','weibull');
% h =
%   logical
%    1
% p =
%    5.0000e-04
% adstat =
%     2.1490
% cv =
%     0.7374
This is what I get as my answer however I doubled check my values with "Minitab19" I am recieiving the following data:
If someone could help me identify where I am going wrong I would be greatful.
I am using ver 2020a

Best Answer

Looks to me like the same problem as in your previous question. MATLAB's 2-parameter Weibull starts from a minimum of 0, but Minitab seems to add a third parameter (Thresh) for the minimum, which it estimates at 212.1. If you subtract that number from all your observations and run your adtest command on the differences, I think MATLAB will give you the same results as Minitab.
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