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Gwet's gamma coefficient
The gamma coefficient is a chance-adjusted index for the reliability of categorical measurements. It estimates chance agreement using a hybrid (i.e., category-based and distribution-based) approach.
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- FAST_GAMMA %Calculate gamma using simplified formulas
- FULL_GAMMA %Calculate gamma using generalized formulas
Use these formulas with two raters and two (dichotomous) categories:
is the number of items both raters assigned to category
is the number of items both raters assigned to category
is the total number of items
is the number of items rater assigned to category
is the number of items rater assigned to category
is the number of items rater assigned to category
is the number of items rater assigned to category
Use these formulas with multiple raters, multiple categories, and any weighting scheme:
is the total number of categories
is the weight associated with two raters assigning an item to categories and
is the number of raters that assigned item to category
is the number of items that were coded by two or more raters
is the number of raters that assigned item to category
is the number of raters that assigned item to any category
is the total number of items
- Gwet, K. L. (2008). Computing inter-rater reliability and its variance in the presence of high agreement. The British Journal of Mathematical and Statistical Psychology, 61(1), 29–48.
- Gwet, K. L. (2014). Handbook of inter-rater reliability: The definitive guide to measuring the extent of agreement among raters (4th ed.). Gaithersburg, MD: Advanced Analytics.