Handicapping


What is a Handicap Competition?

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A SCRATCH competition is where the winner has the highest gunscore. A HANDICAP competition is a method of comparing shooters of differing ability based on how well they shot against their own average. Inexperienced shots with low averages may shoot much better than their averages in the competition, this is rewarded by high handicap scores. They may beat top class shots in a handicap competition. (If you don't have an average then you can't have a handicap score! Three entries in a competition provide the minimum data to calculate an average.)


Max score possible ISSF 60 Shot. gun score average Handicap Score.
Macrae formula applied
600 300 25 600.4622
600 300 50 600.4386
600 300 100 600.3846
600 300 150 600.3191
600 300 200 600.2381
600 300 250 600.1351
600 300 300 600.0000
600 300 350 599.8148
600 300 400 599.5455
600 300 450 599.1176
600 300 500 598.3333
600 300 550 596.4286
600 300 575 593.8889
Shooters with the same gunscore (300) get a higher handicap score the greater their gunscore than their average. Shooters who shoot less than their average get a lower handicap score the worse their gunscore than their average.


Max score possible ISSF 60 Shot. gun score average Handicap Score.
Macrae formula applied
600 25 25 600.0000
600 50 50 600.0000
600 100 100 600.0000
600 150 150 600.0000
600 200 200 600.0000
600 250 250 600.0000
600 300 300 600.0000
600 350 350 600.0000
600 400 400 600.0000
600 450 450 600.0000
600 500 500 600.0000
600 550 550 600.0000
Shooters who shoot exactly their average always receive the maximum gunscore for the competition. Two shooters who both shoot their averages will be tied on an equal handicap score. (Unlikely, because averages have decimal places and gunscores don't.)


Max score possible ISSF 60 Shot. gun score average Handicap Score.
Macrae formula applied
600 30 25 600.0084
600 55 50 600.0088
600 105 100 600.0096
600 155 150 600.0106
600 205 200 600.0119
600 255 250 600.0135
600 305 300 600.0156
600 355 350 600.0185
600 405 400 600.0227
600 455 450 600.0294
600 505 500 600.0417
600 555 550 600.0714
600 580 575 600.1111
Shooters who better their average by the same score get a higher handicap score the greater their average. The better shot is rewarded more.


Max score possible ISSF 60 Shot. gun score average Handicap Score.
Macrae formula applied
600 20 25 599.9916
600 45 50 599.9912
600 95 100 599.9904
600 145 150 599.9894
600 195 200 599.9881
600 245 250 599.9865
600 295 300 599.9844
600 345 350 599.9815
600 395 400 599.9773
600 445 450 599.9706
600 495 500 599.9583
600 545 550 599.9286
600 570 575 599.8889
Shooters who shoot worse than their average by the same score get a lower handicap score the greater their average. The better shot is penalised more.


The "Macrae formula" is one way of calculating a handicap score. (There are many others.)

(   Gunscore - Average             ) + Maximum Score Possible
[(Max Score x 31/30) -Average]

31/30 is an adjustment value. Different values may be used. It may also be shown as Max Score + 20.
This adjustment value affects the spread of the handicap scores.

It is mathematically necessary to have an adjustment value because a shooter with an average of maximum score, who shot a maximum score would have a mathematically incalculable handicap without it. (Zero divided by zero? OK it's an unlikely eventuality.)


If you want to experiment with changing the values in the tables above,
then download the Excel file by right clicking on the blue underlined part below
and selecting "Save Target As..."

Macrae_Formula_explained.xls

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