diff --git a/docs/statlab_kappa3.rst b/docs/statlab_kappa3.rst index 8a6a67e..d1a2890 100644 --- a/docs/statlab_kappa3.rst +++ b/docs/statlab_kappa3.rst @@ -93,7 +93,7 @@ The Cohen's :math:`\kappa` statistic is calculated as :math:`\kappa = \frac{p_O The SE of :math:`\kappa` is calculated as :math:`\sqrt{\frac{p_O(1-p_O)}{n(1-p_E)^2}}`. ************* -BIAS, PREVALENCE AND ADJUSTED KAPPAS: +Bias, Prevalence and Adjusted Kappas ************* All discussion in this section are based on Byrt, T., Bishop, J., & Carlin, J. B. (1993) [1]_ [2]_ [3]_. @@ -108,8 +108,8 @@ For two raters and two categories (:math:`J=2`), Byrt et al. define Bias Index ( :math:`\hat{BI}` has the following properties: -- when two off-diagonal counts are equal, which means :math:`N_{12} = N_{21}`, :math:`\hat{BI} = 0`, -- when two raters have the same frequencies of ratings, which means :math:`N_{1 \bullet} = N_{\bullet 1}` (also :math:` N_{11}+N_{12} = N_{11}+N_{21}`), :math:`\hat{BI} = 0`, and +- when two off-diagonal counts are equal, which means :math:`N_{12} = N_{21}`, then :math:`\hat{BI} = 0`, +- when two raters have the same frequencies of ratings, which means :math:`N_{1 \bullet} = N_{\bullet 1}`, and :math:` N_{11}+N_{12} = N_{11}+N_{21}`, then :math:`\hat{BI} = 0`, and - when :math:`N_{12} = n` or :math:`N_{21}=n`, :math:`|\hat{BI}|=1`.