As far as a basic judgment is concerned, I'd have to say Walter. Everyone says that Earl was better and that Walter only has an advantage because of today's equipment, but they don't take into account the fact that not only can Walter use that equipment to his advantage, but it's used against him! He has to combat it! Also, he has a million more choices laid out in front of him than Earl did. WRW has to make a million decisions (ball change, different layout, different surface, try to build a shot by breaking down lanes, etc.) that Earl couldn't have even dreamed of because of the time period he bowled in.
An absolutely fabulous part of our history, which you cannot deduct from (and I'm not trying to) is Earl Anthony, and I wish no more than to uphold him to the esteemed position he has earned, but WRW is definitely the best of all time.
On a personal note, I think that Parker Bohn III ought to be considered somewhere in there (AT LEAST TOP 5), if only for the fact that I doubt anyone can tell me one person with more perfect textbook form and shotmaking skills than Parker.
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Righty
High rev rate (400-450 rpm)
Semi-high speed (16-17 mph)
Book average: 202
For a game based on the principles of science and math, bowling sure does have a bad habit of being illogical.