If each of your groups were randomized at exactly the same time (or perhaps with the same seed) then they should be identical.

Shuffling these groups may mix them up a bit, but only provides for a folded set of groups each of which was identical.

In a perfect process, using the same seed and shuffling procedure would result in an exact copy of A-H elements with each set created. I think we can all agree that the outcome of this effort is not random.

The most important reference in this area is Knuth, D. 1981. (1st ed. 1969.) The Art of Computer Programming. Volume 2: Seminumerical Algorithms. Addison-Wesley.

I would also suggest a careful look at the Runs Test for Randomness - which is quite simple to understand and follow. Most test for randomness fall into the "runs" category.

If all else fails, simply relax your last requirement for suitable definition of acceptable and declare success!


SciDude
The first dog barks... all other dogs bark at the first dog.

In reply to Re: Random Math Question by SciDude
in thread Random Math Question by Limbic~Region

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.