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Two modes:

  • task = "estimate": precision of a single kappa — n = Q * (z_(1-a/2) / d)^2 with Q = p_o(1-p_o)/(1-p_e)^2. Anchor: Cantor 1996 precision example (pi=0.3, kappa unspecified, Q=1.0, d=0.1, 80% CI -> 165).

  • task = "test": two independent kappas H0: K1 = K2 — n = (z_a sqrt(2 Q1) + z_b sqrt(Q1 + Q2))^2 / (K1 - K2)^2. Anchor: Cantor 1996 two-questionnaire example (pi=0.5, K1=0.7, K2=0.5, 95%/80% -> 214).

Usage

calculate_kappa(pi1, pi2, kappa1, kappa2, d, alpha, power, task)