The timeline isn't that complicated: when I posted at 10:02am, I hadn't read the article. The link was posted at 10:22am, and by the time of my next post (3:29pm), I had read it and discussed it with several others, too.
So even though he did not read the article before his mistaken calculation in his first post this year, by the time he began to make any responses to me on the matter he “had read it and discussed it with several others, too.”
I had five hours. Do you think it was impossible or even unlikely for me to read an article and discuss it with several others in five hours?
And my mistaken calculation was an error in forgetting that I'd changed the par on one of the tees to 71 in my example, it wasn't an error in understanding either the old or the new systems.
Note that my calculations above have shown that in the old system you get a handicap range from 20 to 22. But, in WHS the handicap varies from 17 to 26. Knuth clearly is correct in stating WHS gives vastly varying course handicaps. Having read and discussed Knuth’s article, Erik should clearly understand this.
I do understand it, and I think that's a GOOD thing about the WHS, not a problem. As I've said, for two reasons:
- It "bakes in" the difference in course rating the majority of the time players are competing from different tees.
- It affects NDB (replacing ESC) in a way I feel is better than the old way.
Someone playing a 66.3-rated set of tees, IMO, SHOULD have a much lower course handicap than someone playing the 73.4-rated tees, and in the old system, you'd often see one guy playing any set of tees with only a 1-2 shot difference from back to front. Now, he's likely guaranteed to be at ~7 shots difference.
“Less reliable” is what Erik should be concentrating on.
You've done nothing to show it's "less reliable," and I don't even think that word is being used properly, as the math we're using here is always reliable. Every time I plug the same numbers into the same formula, I get the same result. Very reliable.
If by saying "reliable" Dean meant "the same as in 2019," then duh, of course stuff has changed. That doesn't make it "bad," though. Dean should have chosen a better word than "reliable," IMO.
2019:An 11.0 playing a par-72, 66.8/132 has a 13 CH. If he shoots a "net 72" (85), that's a differential of 15.6.
WHS:An 11.0 playing the same course has an 8 CH. If he shoots a "net 72" (80), that's a differential of 11.3.
The latter makes a lot more sense to me. You may not like "par" but that's how "net" scores work, so the addition of par (as a means of further^ accounting for the course difficulty by adding the slope into the course handicap formula) makes the new formula more representative of what a golfer needs to do to achieve his handicap index as a differential.
^ I say "further accounting" because the old system of course used the slope, which is one measure of a golf course's difficulty, but slope is more about relative difficulty. A 74.3/133 course/tees is almost surely more difficult than a 71.8/134 course/tees, even though the latter has a higher slope value.
...
The "par" thing is just used to "bake in" playing from different tees, an adjustment you had to make before, too. (72-73.4) - (72-66.7) = 66.7 - 73.4
Could you explain this bit of random number generation you done here?
That just shows that the addition of par just "bakes in" the adjustment you previously had to do (but which was often forgotten) when competitors were playing from different tees.
NEITHER I, NOR DR. KNUTH ARE SAYING THE MATCH IS PLAYED FROM DIFFERENT TEES. THE MATCH IS BEING PLAYED FROM THE SAME TEES, AND 50% OF SUCH MATCHES WILL HAVE A DIFFERENT HANDICAP FOR THE PLAYERS THAN WHEN PAR WAS NOT USED IN THE CALCULATION.
You're going back to that again? It's a bogus argument, and I posted charts to show you why. 50% of the matches will have the same handicap, and 50% will be different. But of that 50%, the player will gain half of that time, and lose half of that time. It all depends on where, somewhat randomly, the two fall on the chart.
This is an example of a CHANGE that isn't necessarily "good" or "bad" but which you (and Dean) are sitting on as some of proof. Again, in reality, it's simply a "change" - and a change that balances out completely, because other folks will LOSE or GAIN if rather than adding 0.5 or 0.2, we SUBTRACT 0.5 or 0.2 because the course rating is LESS than the par
He has been asked twice to point out what is wrong with the Knuth article. But, instead of pointing out that his claims of “less reliable” are at fault, he continually harps on adjusting handicaps when playing different tees. It takes a lot of patience to try to get to the crux of the matter with Erik!
I've pointed out what's wrong with the Knuth article on a few occasions.
I felt like procrastinating, and I type rather quickly, so here you go.
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First, let me just say, the title of the article is "The flaw in the new World Handicap System." The word "flaw" does not appear to have ever been used again. This muddies things from the outset. I think we can agree that Dean sees "the addition of par" as "the flaw," but he could have made this clearer. Instead, and especially toward the end, he talks about many little things.
But anyway…
Dean says "
I believe the WHS is a downgrade from the old USGA system." I disagree with his opinion, but okay, it's just his opinion. He says "
What was a straightforward and careful system has become something more complicated and less precise." So "more complicated" and "less precise." He refines that by saying "
my biggest concern has to do with the introduction of what I'll call 'par handicap.' What is par handicap? Simply put, it's when par is used in the calculation that creates a golfer's playing/course handicap."
I disagree on both fronts: that this playing handicap is either more complicated OR less precise. I think it's less complicated and more precise.
Complicated:How do golfers find out their course handicap? Most look on a piece of paper hanging in a pro shop or locker room or something. This procedure hasn't changed, so for those golfers, this new process is no more complicated than before. They go in, they look at their sheet of paper, and they say "oh, I'm a 13 from the whites."
Alternatively, golfers could visit a page
like this one, type in the numbers, and get their course handicap. Yes, they have to enter in two more numbers: the course rating and par. This is mildly more complicated, but it's still just typing numbers in on your phone.
Is the math itself more complicated? Again, mildly so, sure. Rather than HI * Slope/113, it's now HI * Slope/113 + (CR-Par). Virtually nobody did this manually, so I'm not going to give a win to anyone here on the "more complicated" front. It's still just third-grade math.
And, again, the WHS
simplifies things when players play from different tees. It simplifies things for golfers, for tournament directors, etc. by "baking in" the difference in playing from different tees. The math was still just third-grade math, but people often didn't know they even had to do it.
So, more complicated? I disagree, with details to follow. The math is ever so slightly more involved, but nobody ever really did the math manually anyway, and it greatly simplifies things for tournament directors, people wanting to play matches from different tees, and others. The average golfer will see almost no change: they'll see what their handicap is from the sets of tees they play and will go play golf, same as before. That the number will be
different in 2020 does not make it more "complex."
Less Precise: I've said a few times in this topic that the WHS method is MORE precise because you round fewer times. It's also more precise because they've added the course rating to the calculation, which helps to match up the golfer's understanding of what it takes to shoot a "good" round (or a "bad" round) per his course handicap.
But that's getting ahead of myself a little bit, I suppose. I'm not even sure we'd agree on a definition for "precise" given that we're talking about what is ultimately a somewhat arbitrary measure of a player's ability level. Anyway, we'll get to this shortly.
Getting back to Dean… "
Prior to the WHS, par was not a factor in the USGA system of course handicap calculation — nor need it have been." Well, the latter part is just an opinion, and while I liked the old way, I think the WHS is an upgrade here.
Dean then posts the old formula and then the new. Yeah, again, mildly more "complicated" because there's more third-grade math, but no more math if you're playing from different tees, and no more math for people (most everyone) who never manually did the math anyway.
"
This par-based adjustment has been part of handicap systems in a handful of countries but for specific reasons." He goes on to mention Stableford, etc. and says "
It made sense then that their formulas would include a step to add par to the equation." The thing is, again, I don't view the WHS method as "adding par" to the equation, but rather, about "adding the course rating" to the equation.
Consider in the old system, an 11.0 index would play to a 13 from tees rated 73.4/138… and to a 13 from tees rated 66.6/129. Despite playing a course with over 7 shots difference in the course rating, the 11.0 index gets the same course handicap and gets to post a maximum of 7 on ANY hole on the golf course, regardless of the hole he's playing or the tees from which he played that hole.
Under the WHS, assuming a par of 72, that 11.0 would have course handicaps of 15 or 7. The latter makes a HECK of a lot more sense to me. Why? Because of the addition of the course rating to the course handicap calculation.
Now, I don't think there was anything "wrong" with the previous system. This stuff is somewhat arbitrary in that we're creating a system to try to measure the ability of golfers. There's no inherent "truth" or "fact" that makes something right or wrong. It's all "devised." It's not a universal constant or a universal truth, or scientific law. It's something humans made up.
The course handicap change really has little to do with playing against someone else, but does affect the score you can post to your handicap. NDB replaces ESC, and while ESC allowed you to post a double, 7, 8… on any hole on the course, NDB limits you to net double bogey.
Also, under the old system, a 9 CH could make a max of a 5 on a par three, while a 10 CH could post a 7. Now, they likely both have to post a 5, and their max score will differ by only one stroke on one specific hole on the course, which is much more representative of the fact that they're only a stroke apart in their course handicap.
So, while Dean says the (paraphrasing) "par-based adjustment was used for specific reasons that made sense" in other countries, I think replacing ESC with NDB (and using the course rating in the calculation of the course handicap) "makes sense" within the WHS.
Dean, again: "
What does not make sense, though, is applying the par adjustment throughout the rest of the world, in particular to the U.S., where it creates an assortment of issues. Let's start with the fact that par is hardly the most reliable measure of course difficulty (that would be course rating). Almost any golfer can list two courses that are both par 72s but vary greatly in how tough they play."
I feel like Dean falters here. Let's stick with whole numbers here for course rating just for simplicity. Dean is right that a 74.0/par-71 course is "more difficult" than a 69.0/par-72 course. But, under the 2019 system, if both had a slope of 130, then the course handicap for both players would be the same: an 11.0 index would get 13 strokes on both courses. Under the WHS, the 11.0 index gets 16 on the 74.0/71 and 10 on the 69.0/72. The 11.0 would get 15 if the 74.0/71 course was a par 72 - five more instead of six.
Why? Because the WHS adds par…
and along with it, the course rating, which Dean says is "the most reliable measure of course difficulty."
So, what's Dean's beef here? Under the WHS, the same player gets
more strokes on the course he says is "
more difficult." Under the 2019 system, the player would get the same number of strokes on both courses. The former makes more sense to me and, having read his words, seemingly should make more sense to Dean as well.
Dean then talks about how Tom Doak has "
advocated an 'Abandon Par' ideology, saying that it has become meaningless to tour pros and other golfers," but that's neither here nor there. First, we're not talking about average golfers, NOT tour pros, and second, this addition to the WHS
is not really about par, but more about the course rating. This is the common theme throughout, if you want to stop reading now. Dean sees the WHS as "adding par," and I see it as "adding the course rating."
Besides, even the 2019 handicapping system used "par:" you had to know the hole's par to figure out the ESC for a 0-9 course handicap player as they could only take a maximum of "double bogey."
Dean goes on to say "
calculating a handicap around a less reliable measure of difficulty inherently makes for a less equitable system." Again, Dean's almost arguing against himself here.
Par is used mainly to introduce the course rating while still producing "course handicaps" that "make sense."
A course's "difficulty" is ultimately comprised of
two things: the slope and the rating. The old system used only
one of those, the new system uses both.
I suspect that in trying to add the course rating to the WHS, the folks at the USGA recognized that they couldn't just throw a number like "73.4" in without producing some weird results (go ahead and try to figure out how to add 73.4 to "11.0 * 135/113" in a way that makes sense). Using the difference between the course rating and par keeps everything sane. This, again, makes more sense to me than two courses, with ratings of 74.0 and 69.0, giving an 11.0 the same 13 shots.
Dean again: "
Where this issue becomes noticeable is how the new formula changes course handicap values from tee to tee as you compare the WHS to the USGA system at any course. Fore example, where once a course handicap was a 12 from the back and middle tees, and an 11 from the front, under the new WHS calculations there will be much larger variations — as many as 18 shots in some instances — between tees."
Uhmmm, yeah,
as there should be. Dean's issue with this is… what? He doesn't say. That he doesn't like change? I don't know.
18 shots is sensationalistic. Let's take the 11 handicap guy again, and devise three tees where he is a 12 from the back and middle and 11 from the front (on a par-72 course):
Back: 73.4/127 = 12 CH
Middle: 72.0/119 = 12 CH
Front: 69.8/110 = 11 CH
Yep. Checks out. Under the WHS:
Back: 73.4/127 = 14 CH
Middle: 72.0/119 = 12 CH
Front: 69.8/110 = 9 CH
What's the problem here?
Instead of a change of one stroke from the back to the front tees, we see a five-shot difference. One stroke comes from the change in slope, because that part is unchanged from the 2019 method, and the other four come from the course rating. This makes sense… because the course rating is 3.6 strokes different. And no, this isn't one player playing against another, it's the same player getting more or less strokes when he plays a course that's 3.6 (and 17 slope) easier or harder than the other.
That example is a lot more like what we'll see in the world. How ridiculous would things have to get for an 11.0 index golfer to play a course with tees rated 18 shots different? Well, it'd look something like this, off the top of my head:
Back: 76.0/150
Front: 62.0/100
Let's see how close I got:
11.0 * 150/113 + 76 - 72 = 19 CH
11.0 * 100/113 + 62 - 72 = 0 CH
Okay, pretty close. 18 shots different? While I'm sure Dean may have found such a course, and while I'm sure they exist, an 11.0 index golfer would have to play tees rated nearly 14 shots different and/or nearly 50 points different on the slope to find a situation where they would get 18 shots different from one set of tees compared to the other.
Note: under the old system, this 11.0 would have gotten 15 and 10 strokes on each of these courses. If someone can tell me why an 11.0 should get 10 shots to play a par-72, 62.0-rated 100-slope course, I'll buy you a beer, because that doesn't make a lick of sense to me. The WHS math makes a
helluva lot more sense IMO.