v0.1.2

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}}`.
 
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-BIAS, PREVALENCE AND ADJUSTED KAPPAS:
+Bias, Prevalence and Adjusted Kappas
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 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`.