# Kendall coefficient of concordance

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• #48287

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Hi,
Could anybody share with me the deduction of Smax formula in the Kendall coefficient of concordance (W=s/Smax). What is the start figure and what kind of steps required to get the Smax=1/12K2(n3-n).
Regards,
John

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#162202

Darth
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#162200

Darth
Participant

See if this helps.

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#162288

Participant

Thanks, Darth
I had a quick check regarding your info and I will think about how can I deduce the final formula of Smax. I know that it presumes that the judgess decision is the same to every parameter. In this case this deviation will be the highest and finally if we divide the s (actual deviation) whit this Smax the result will be the W coefficient what can be between 0 and 1. If it is 1 there is agreement between the judges and if it is 0 there is disagreement.
s2 = Sum(R-Raverage)2 so Smax2 has to be the same.

Raverage = K(n+1)/2
R = K*n1 or K*n2  K*nn where n is the numbers by judges to the parameter.
So from this 2 formula how can I get the Smax = 1/12K2(n3-n).
Regards,
John

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