Relative Strength
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Wilks score:Allometric Scaling Score:Nuckols Index
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(100*S)/(ax^2+bx)
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S = weight lifted
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x = bodyweightS = weight lifted
a and b = lift-specific coefficients
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Multiply the coefficient by the weight lifted to get your Wilks score
M = bodyweightx = bodyweight
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To make a scale from 0-100, multiply top allometric scaling score of all time by a coefficient x so that x*s*m^(-2/3)=100How I arrived at it:
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MenWomenS/x=x*a+b
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a = -216.0475144
a = 594.31747775582
S=ax^2+bx
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b = 16.2606339
b = -27.23842536447
1=(ax^2+bx)/S
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c = -0.002388645
c = 0.82112226871
1/(ax^2+bx)=1/S
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d = -0.00113732
d = -0.00930733913
S/(ax^2+bx)=1
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e = 0.00000701863
e = 0.00004731582
(100*S)/(ax^2+bx)=100
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f = -0.00000001291
f = -0.00000009054
(multiply by 100 to put the numbers on a scale that's easier to work with)
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Men (kg)Women (kg)To see how larger lifters stack up (308lbs+ for male untested, 120kg+ for IPF male, 198lbs+ for female untested, and 84kg+ for IPF female), this is how the formula was arrived at:
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Weight110Weight85
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Weight lifted850Weight Lifted500
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Wilks Score500.2192329Wilks Score443.3044875
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Converter
ASS at top bodyweight=100 when NI=100
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Weight in lbs220.4
100*100lift/(a*topbw^2+b*topbw)=x*100lift*topbw^(-2/3)
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Weight in kg99.97175934
100/(a*topbw^2+b*topbw)=x*topbw^(-2/3)
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100/((a*topbw^2+b*topbw)*topbw^(-2/3))=x
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Want to see how you stack up? Go over to the other pages and find out! "Male All-time" for untested, raw lifting with wraps, "Male IPF raw" for tested lifting without wraps, "Male IPF gear" for tested single-ply, "Female All-time" for untested, raw lifting without wraps, "Female IPF raw" for tested lifting without wraps, and "Female IPF gear" for tested single-ply. The first sheet for each category gives you the opportunity to enter your lifts to see how you score, and the second sheet lets you see how you stack up to the best in the world. You can calculate your Wilks score on this first sheet. ONLY ENTER NUMBERS IN BLUE SQUARES. Otherwise you can screw something up and the sheet won't work for you anymore.x="dividend"
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So
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(100*S*x^(-2/3))/x=score
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100lift = lift coinciding with a score of 100 at the top weight in the last weight-capped class
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topbw = top weight in the top weight-called class
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Alternately, you can solve for the lift at the top weight in the last weight-capped class that would give a score of 100 on the NI. Find the multiplier that would give that same lift a 100 allometric scaling score. Then, any score would be that multiplier *S*M^(-2/3)
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100*lift/(a*topbw^2+b*topbw)=100
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lift=a*topbw^2+b*topbw
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x*a*topbw^2+b*topbw*topbw^(-2/3)=100
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solve for x. x="multiplier"
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Then x*S*M^(-2/3)=score
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Both give the same score, so it doesn't really matter too much what you use
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