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- Dec 19, 2009
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Finally getting around to look at the numbers to try to get a better grip as they relate to certain hole distances. The first hole that came to mind is a local hole that is 600' long and mostly open. Using your chart (hopefully correctly) and the above comment, I get the following.
600 feet Hole
Rating Calculation
1050 2 + ((600 - 171)/496) = 3
1000 2 + ((600 - 160)/379) = 4
950 2 + ((600 - 151)/307) = 4
900 2 + ((600 - 143)/258) = 4
850 2 + ((600 - 135)/222) = 5
Because I am getting the course owner to put in alternate tee boxes with the intention that some be blue level, some gold level, I have compiled the availabe tournament scores for the course. The 600 ft hole sees MPO (with scores averaging below 1000) scoring mostly 3s and no 5s. MA1 (with scores averaging above 900) scores mostly 4s, with about 20% 3s and a few 5s. Of course, these are small samples.
This made me wonder whether there was an overlap in distance where 1000 and 850 would be expected to score the same. At 576 feet, the distance of another local hole (adjacent course) average score would be the same for both 1000 and 850 rated players.
576 feet hole
Rating Calculation
1000 2 + ((576 - 160)/379) = 4
850 2 + ((576 - 135)/222) = 4
I don't have 850 rated player numbers for this hole, but I can't imaging the distribution being the same for these two player ratings.
I'm not quibbling with the statistics, but I am wondering whether you quote above might better be stated:
"If you take a hole whose length equals the sum of the throw length and close range distance for a specified rating, the predicted score will be the same as the actual score from a player of that rating 50% of the time, and 25% of the time they'll get a higher score, and 25% of the time they'll get a lower score."
Would there be some sort of curve, not represented in your chart, that might represent the same data without overlapping 850 and 1000 rated players on such holes, or that might acknowledge the very different expected distribution of their scores, or maybe a chart that shows separate scoring curves for the different ratings at various distances?
Of course, maybe I'm just wrong.
It's not designed to be used to predict scores. That's like using a nail to push a hammer away from a board.
All that calculating of scores and comparing them to real scores was just to come up with the most typical lengths of throw and close ranges.
There is a lot of overlap between scores of 850-rated players and 1000-rated players. One reason is because most holes don't ask players to throw 379 feet.
Here is a chart showing the scores by length for 850- and 1000-rated players.