Measurement of reliability for categorical data in medical research

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Abstract
The problem of measuring reliability of categorical measurements, particularly diagnostic categorizations, is addressed. The approach is based on classical measurement theory and requires interpretability of the reliability coefficients in terms of loss of precision in estimation or power in statistical tests. A general model is proposed, leading to definition of reliability indices. Design and estimation approaches are discussed. Issues and approaches found in the research literature that either lead to confusing or misleading results are presented. The signs and symptoms of unreliable diagnoses are identified, and strategies for improving the reliability of such diagnoses are discussed.