Procedure | Example | ||||||
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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 |
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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 |
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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 |