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| $$ \mbox{ICC} = \frac{MS(subjects) – MS(subjects x raters)} |
$$\mbox{ICC} = \frac{MS(subjects) – MS(subjects x raters)} |
Intraclass correlations
An alternative, to the kappa statistic, which uses an analysis of variance output to estimate rater reliability is the intraclass correlation coefficient (ICC).
For a repeated measures anova involving k raters it follows
$$\mbox{ICC} = \frac{MS(subjects) – MS(subjects x raters)} {MS(subjects) + (k-1)MS(subjects x raters)} $$
where MS is the Mean square from the repeated measures analysis of variance.
Examples of its use in SPSS [http://www.nyu.edu/its/statistics/Docs/intracls.html are available.]
An overview of approaches to inter rater reliability including the ICC is given by Darroch and McCloud(1986).
Reference:
Darroch JN, McCloud PI (1986) Category distinguishability and observer agreement Australian Journal of Statistics 28 371-88.
