𝑞 (𝜋𝑎𝑘 + 𝜋𝑏𝑘 )2 𝑎1 𝑏1 𝑎2 𝑏2 𝑝𝑒 = ∑ = ( + )2 + ( + )2 (3) 4 2𝑛 2𝑛 2𝑛 2𝑛 𝑘=1Where q is the number of categories, a corresponds to Rater A and b to Rater B, the subscripts 1and 2 correspond to categories and 𝜋𝑥𝑘 is the probability of Rater x categorizing a subject to thekth category defined as the ratio of number of subjects in category k and total number of subjects.However, this method assumes that the chances of raters randomly assigning an item to samecategory is based on rater’s average distribution for each category which is not
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