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Now, I have two assessment methods A and B (both of them are new methods) for assessing diabetes. Moreover, the method C is the gold standard. Firstly, I ask a rater (Raters X) to use Method A and C (gold standard) to assess 50 individuals, respectively. I compute Cohen's Kappa based on the ratings (assuming the ratings are ordinal). Secondly, I ask the same rater (Raters X) to use Method B to assess the same 50 patients (again, let's assume the ratings are ordinal). I compute Cohen's Kappa based on the Method B and Method C (which the results have been reported).

I wonder if there is a way to compare these two kappa statistics -- that is, whether they are statistically different.

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