Table 3. Four-step correction mechanism and example (three fictitious players with same raw test score but different maturity status).
Procedure Example
Initialization Fictitious player 1: Late maturer Fictitious player 2: Average maturer Fictitious player 3: Early maturer
Variable 1 Indicator of maturity status (MS) Use MS of all the players MS = %RAH MS = 85% MS = 95% MS = 100%
Variable 2 Raw test score (RS) Use RS of all the players RS = 40-meter sprint RS = 6.20 sec RS = 6.20 sec RS = 6.20 sec
Calculate MSMean
(sample mean)
MSMean = 95.4%
Correction mechanism Step 1 Compute a simple linear regression with MS as independent variable and RS as
dependent variable
and save the regression coefficients
b0 b0 = 13.74
b1 b1 = –0.08
Step 2 Compute the expected raw score (ERS) of each player ERS = b0 + b1
· MSPlayer
ERS = 13.74–0.08 · MSPlayer ERS = 13.74 – 0.08
· 85 = 6.74 sec
ERS = 13.74 – 0.08
· 95 = 5.91 sec
ERS = 13.74 – 0.08
· 100 = 5.50 sec
Compute the expected score of the average maturing player (ESA) ESA = b0 + b1 · MSMean ESA = 13.74–0.08 · 95.40 = 5.88 sec
Step 3 Compute a correction factor (CF) for
each player
CF =
RS / ERS
CF = 6.20 / 6.74
= 0.92
CF = 6.20 / 5.91
= 1.05
CF = 6.20 / 5.50
= 1.13
Step 4 Compute the corrected score (CS) for
each player
CS =
ESA · CF
CS = 5.88 · 0.9
= 5.41 sec
CS = 5.88 · 1.05
= 6.17 sec
CS = 5.88 · 1.13
= 6.63 sec
MS = maturity status; RS = raw score; ERS = expected raw score; ESA = expected score of the average maturing player; CF = correction factor; CS = corrected score; %RAH = attained percentage of the real adult height.