As long as dg's putting is as easy as it presently is, the task of comparing dg par to bg par will be a futile one. The boat has long since sailed that would "equate" these two 'pars'. Headrick, et al probably never thought of things this deeply (dg's "par" and its relationship to bg's) and personally I'm glad they probably didn't! They played a simpler and more fun game.
But since we're talking about "par"…
If bg had the entire green as it's "final target" (or a hole in the middle of it that was WAY bigger than the 4.25" diameter hole they use now) this comparison would be valid (and statistically probably would be very close). Scenarios:
A. In bg, you'd try to hit your ball far enough so that on the next shot you can hit that next one onto the green / into the huge hole. You'd card a "2". Hogan would have loved it! (Mr. Fairways and Greens they called him). Never would've lost. But "golf" is MORE than that! So even Hogan had to "putt".
In this scenario people would try to increase their chances on getting their 2nd shot onto the green (and thus holing out) by hitting their first shot further / closer. This would've been boring…except for Hogan
B. In dg, you'd try to throw your disc far enough so that on the next throw you'd throw it into the basket. Oh, wait. I used the future tense. THAT'S WHAT WE DO NOW. No future tense needed!
So what's the difference? In bg (presently), there is actually something to do after your first shot. It called putting. It's not just hitting it really close (the vast majority of the times) so that virtually anyone could "hole out after hitting their first so close that only one more is needed".
Or, said another way…
In dg, the best players throw a tee shot that lands 30' (or closer) to the basket a LOT of times. From there it's about a 50%+ chance of making (and thus "…would be expected to make…").
In bg, the PGA pros average a 50/50, miss/make at the 6' distance. Yet their ability to hit that circle on their first shot is very rare indeed.
[Above I was referring to "one full / semi-full shot" type holes; you should be able to extrapolate for holes needing more shots.]
If you want to use your statistical abilities to calculate something, try "working backwards" (from the green towards the tee). Calculate percentages of what occurs for dg and bg. This is where you'll find the answer.
The average bg'er (PGA) probably hits 3 – 5 shots inside that magical "6 foot radii circle" and thus has a 50%+ chance of making it. The average dg'er (Touring Pro, 1000+rated, whatever you want to use, etc.) hits WAY more than 3 – 5 inside THEIR magical "30 foot radii circle".
As long as that "3 – 5 shots (PGA)" is different than the "WAY more than 3 - 5 (PDGA)", each sports' pars will never REALLY be comparable.
Want to force them to be comparable? You can figure out the myriad of answers that would accomplish such.
- Lengthen the shot
- Tighten the gap
- Decrease the target size
- Others (…add at your leisure!)
But guess what? "Par" is not really needed. Well, except for that CM1.05F thing, which could (and IMO should) much more easily be changed than trying to alter / manipulate / change / etc. the definition of a term that may not even really fit dg.
Steve,
We all appreciate your enthusiasm regarding this topic and for the other "statistical works" that you've been willing to post but be wary of becoming "the hammer that sees everything as a nail". Sometimes a hammer is not the tool needed. And sometimes no tool is needed at all.