A Generalization of Cohen's Kappa Agreement Measure to Interval Measurement and Multiple Raters

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Abstract
Comparing different groups (e.g., cultures, age cohorts) using survey-type instruments raises the question of factorial invariance, that is, whether or not members of different groups ascribe the same meanings to survey items. This article attempts to advance multi-group research by (a) providing a concise summary of the factorial invariance problem, (b) proposing a simplified notation intended to facilitate discussion of the problem, and (c) suggesting a structured approach for testing large models. This procedure is illustrated using an extended example. Two computer programs designed to make the recommended procedures less laborious are offered.

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