uofc2003 wrote:Can someone please provide an explanation that makes sense. I don't need to know how to calculate st. deviation, but what magical (hopefully mathematical) formula combines one's average and st. dev. to create one's handicap?
The handicap formula is Average(Relative Score to Par) * (-Multiplier %), where the Multiplier is derived from table above based on the Standard Deviation of all scores.
Walking through a detailed example:
The Median scores for weeks 1-5 are (57, 58, 58, 54, 56)
My scores for weeks 1-5 are (54, 59, 57, 47, 52)
Your scores for weeks 1-5 are (54, 55, 54, 54, 52)
My Average relative to par would be avg (-3, 1, -1, -7, -4) = -2.80
Your Average relative to par would be avg (-3, -3, -4, 0, -4) = -2.80
We have the same Average, and thus in the overall Summer standings e.g. would be listed as tied. However, because your scores are more consistent, you would have a less penalizing handicap:
My StDev = 3.03, so my handicap would be -2.80*-95% = 2.66
Your StDev = 1.64, so your handicap would be -2.80*-80% = 2.24
For Week 5, my adjusted score would be -4+2.66 = -1.34
For Week 5, your adjusted score would be -4+2.24 = -1.76
And you would finish ahead of me in the weekly standings. Hope that was clear.