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Krippendorff's Alpha Calculator

How reliable is coding by two or more coders, allowing missing data?

Single calculationv1.0.0Verified 2026-11-01Runs in your browser

Spec sheet

krippendorff_alpha · v1.0.0
Method

Krippendorff's α via the coincidence matrix

  1. 01o_ck = Σ_u (pairs (c,k) in unit u) / (m_u − 1)
  2. 02α = 1 − (n − 1) · Σ o_ck δ²_ck / Σ n_c n_k δ²_ck
  3. 03δ²: nominal 0/1 · interval (c − k)² · ratio ((c − k)/(c + k))² · ordinal by rank sums
Limits — read before relying on it
  • Point estimate only; bootstrapped confidence intervals are not computed.
  • Ordinal/interval/ratio need numeric codes.
Sources
  • Krippendorff, K. (2011). Computing Krippendorff's Alpha-Reliability. University of Pennsylvaniastandard

Worked example

computed by the same formula

Krippendorff (2011) reliability example

Inputs
Coding matrix — one line per coder, one column per unit
1 2 3 3 2 1 4 1 2 . . . 1 2 3 3 2 2 4 1 2 5 . 3 . 3 3 3 2 3 4 2 2 5 1 . 1 2 3 3 2 4 4 1 2 5 1 .
Level of measurement
Nominal (categories)
Result
Krippendorff's α
0.743
Krippendorff's guideline
Tentative conclusions only (0.667 ≤ α < 0.800)
Coders
4
Pairable units
11
Pairable values
40

Questions

How is the krippendorff's alpha calculated?

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Krippendorff's α via the coincidence matrix. o_ck = Σ_u (pairs (c,k) in unit u) / (m_u − 1) · α = 1 − (n − 1) · Σ o_ck δ²_ck / Σ n_c n_k δ²_ck · δ²: nominal 0/1 · interval (c − k)² · ratio ((c − k)/(c + k))² · ordinal by rank sums

Example: Krippendorff (2011) reliability example?

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Krippendorff's α: 0.743; krippendorff's guideline: Tentative conclusions only (0.667 ≤ α < 0.800).

What does this calculator not cover?

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Point estimate only; bootstrapped confidence intervals are not computed. Ordinal/interval/ratio need numeric codes.

Where do the numbers come from?

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Sources: Krippendorff, K. (2011). Computing Krippendorff's Alpha-Reliability. University of Pennsylvania. The formula is versioned (krippendorff_alpha v1.0.0) and covered by automated tests.

Is my data stored?

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No. The calculation runs in your browser and nothing is sent unless you choose to save a shareable link.

Also searched askrippendorff alpha calculator · intercoder reliability multiple coders · reliability with missing data · content analysis reliability · krippendorff's alpha

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