Kendall Tau Calculator Formula

Understand the math behind the kendall tau calculator. Each variable explained with a worked example.

Use the Kendall Tau Calculator

Formulas Used

Kendall tau

tau = (concordant - discordant) / (n * (n - 1) / 2)

Total Pairs

total_pairs = n * (n - 1) / 2

Variables

VariableDescriptionDefault
concordantConcordant Pairs30
discordantDiscordant Pairs15
nObservations10

How It Works

Kendall Tau

tau = (C - D)/[n(n-1)/2]

Based on concordant vs discordant pairs.

Worked Example

30 concordant, 15 discordant, n=10.

concordant = 30discordant = 15n = 10
  1. 01tau = 15/45 = 0.333

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