Confidence intervals for intraclass correlation in inter-rater reliability. (English) Zbl 1034.62061
In the two-way ANOVA model with random effects \(Y_{ij}=\mu+s_i+r_j+e_{ij}\), the Pearson correlation \(r=r(Y_{ij_1},Y_{ij_2})=\sigma_s^2/(\sigma_s^2+\sigma_r^2+\sigma_e^2)\) is considered. An asymptotically exact confidence interval for \(r\) is constructed. It is compared with some existing methods via simulations. The case of fixed effects \(r_j\) is also considered.
Reviewer: R. E. Maiboroda (Kyïv)
MSC:
| 62J10 | Analysis of variance and covariance (ANOVA) |
| 62F25 | Parametric tolerance and confidence regions |
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