Cohens Kappa Two Rater
Calculator

Inputs

Observed agreement
0.78

Results

Observed agreement
0.78
Expected agreement by chance
0.5
Cohen's kappa (κ)
0.56

Academic results

Observed agreement0.78
Expected agreement by chance0.5
Cohen's kappa (κ)0.56

formula-map diagram

Observed agreement
0.78
Expected agreement by chance
0.5
Cohen's kappa (κ)
0.56

Formula breakdown

Formula

κ = (Pₒ − Pₑ) ÷ (1 − Pₑ)

= 0.78

Note

This is a simplified model. Grading rules, credit systems and statistical assumptions vary by institution and study design; check your syllabus, registrar or methods guide before relying on these figures.

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