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yh202109 committed Nov 12, 2024
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6 changes: 3 additions & 3 deletions docs/statlab_kappa3.rst
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Expand Up @@ -47,7 +47,7 @@ See table-1_.
.. list-table:: Counts for 3 or more categories
:widths: 10 10 10 10 10 10
:header-rows: 1
:name: table-1
:label: table-1

* -
- Rater 2: :math:`v_1`
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Bias, Prevalence and Adjusted Kappas
*************

All discussions in this section are based on Byrt, T., Bishop, J., & Carlin, J. B. (1993) [1]_ [2]_ [3]_.
All discussion in this section are based on Byrt, T., Bishop, J., & Carlin, J. B. (1993) [1]_ [2]_ [3]_.

Bias Index (BI)
=============
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p_O^{(BAPA)} = \frac{1}{n} \left( N_{11}^{(PA)} + N_{22}^{(PA)} \right) = \frac{1}{n} \left( N_{11} + N_{22} \right) = p_O.
Therefore, the :math:`kappa` value based on table-2_ can be calculated as:
Therefore, the :math:`\kappa` value based on table-2_ can be calculated as:

.. math::
\kappa^{(BAPA)} = \frac{p_O - 0.5}{1 - 0.5} = 2p_O - 1,
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