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Unformatted text preview: ( ) 1( ) ( ) 1( ) v d N v dv N v N v N v C dv ∞ ′ ′ = ⇒ = − + ∫ C a constant (C=0 here). For those who know the sigmoidal is also the FermiDirac distribution. We may actually replace infinity by 100 (maximum) but the curve will not be perfect very near 100 as we will see. ( ) ( )/ 2 ( )/ / ( ) 1 v v dv v v dv N dv N v e C e − − = + + Finally I would like to add that a useful technique when approximating by a Gaussian is to split the dispersion σ (sigma) to σ=N/K where N is the total number and K is a quality factor to be determined after fitting the function. 20 40 60 80 100 1000 2000 3000 4000 5000 6000 candidates with score > v score = v Fig.2 Distribution of N(v)/N% percentage of candidates who achieved marks between v and v+dv 20 40 60 80 100 1 2 3 distribution N(v)/N total % score v...
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 Spring '09
 SpyridonKoutandos

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