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. 2013 May 2;8(5):e61401. doi: 10.1371/journal.pone.0061401

Table 5. Exemplary calculation of the alternative kappa statistic as proposed by Gwet (2002).

Reviewer 1
Acceptance Rejection Total
Reviewer 2 Acceptance A B B1 = A+B
Rejection C D B2 = C+D
Total A1 = A+C A2 = B+D N

Alternative chance agreement probability:

e(y) = 2P1(1-P1).

Approximate chance that a rater (A or B) classifies a subject into category “acceptance”.

P1 = [(A1+B1)/2]/N.

Alternative kappa statistic:

AC1 = [p-e(y)]/[1-e(y)].

Where p = (A+D)/N.