Initialization |
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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 |
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Calculate MSMean (sample mean) |
MSMean = 95.4% |
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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 |
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b1 |
b1 = –0.08 |
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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 |
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Step 3 |
Compute a correction factor (CF) for each player |
CF = RS / ERS |
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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 |
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CS = 5.88 · 0.9 = 5.41 sec |
CS = 5.88 · 1.05 = 6.17 sec |
CS = 5.88 · 1.13 = 6.63 sec |