Stephen did you read McKay's (and companies) rebuttel? You can check the link in message #5. Or did you just entirely make up the assertion that "(McKay) is quite clear that the Rabbi's experiment of Witztum is statistically improbable." This seems, dare I say, a bold face lie. Could you provide the source of this information?
You also state "McKay claims that Witztum lied about how he got the names, using wiggle room to generate statistical improbability. I don't think that is a plausible explanation"
However all McKay does is point out that Witztum "claims" to use all the Rabbi's who appeared in Margaliot's "Encyclopedia of Great Men of Isreal" and who's entry had at least 3 columns of information (for list 1) or 1.5 to 3 columns of information (for list 2). But in "reality" each list has Rabbi's that are missing or are present but should not be.
McKay also goes on to point out that the dates used for these ELS were taken from a variety of sources, with no rhyme or reason...just which ever would work best for his results. They did not even stick to the dates provided by Maragaliot's EoGMoI. McKay also advises that there were at least 8 different date formats used (eg in English...May 5th, the 5th of May, on May 5th, etc.)!
But the real killer appears to be that Witztum uses any form or appellation for the Rabbi's names that will fit his required results! And where did these names come from? Well Rips claimed that "There may be various ways of writting a name. We took every possible variation we could think of. If any additional variation comes to mind, we must include it." However, in actuallity, the names used came from a computer search of the Responsa database at the Bar-Ilan University. Yet many of the appellations that appear in the Responsa do not appear in the List of Rabbi's used and vise versa!
So, as while McKay does seem to doubt Witztum's results (and with good reason it appears) he never claims that Witztum lied.