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Cohen’s Kappa Calculator

Calculate Cohen’s kappa for agreement between two binary raters.

Reviewed/updated September 8, 2026
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What is the Cohen’s Kappa Calculator?

Calculate Cohen’s kappa for agreement between two binary raters. ITS Research Solution keeps the interactive tool above the explanation so you can calculate first and then review the method used.

Formula or method

κ = (Po−Pe) / (1−Pe), where Po is observed agreement and Pe is chance-expected agreement.

How to use this tool

Enter the requested values using consistent units, run the calculation and review the main result plus any supporting values. Use a 2×2 agreement table to compare two raters or methods.

Interpretation and limitations

Kappa can be influenced by prevalence and marginal distributions, so interpret it with the raw agreement rate. Always check source data, units, rounding and discipline-specific requirements before using a result in assessed, published, regulated or high-stakes work.

Questions

Frequently asked questions

How is this result calculated?

u03ba = (Pou2212Pe) / (1u2212Pe), where Po is observed agreement and Pe is chance-expected agreement.

Can I use this result in formal academic or research work?

Use it as a transparent calculation aid, then verify the assumptions, units, rounding and any institution-, journal- or field-specific requirements before formal use.