A new residual for ordinal outcomes

Chun Li and Bryan E. Shepherd

Biometrika, 2012, vol. 99, issue 2, 473-480

Abstract: We propose a new residual for regression models of ordinal outcomes, defined as E{sign(y,Y)}, where y is the observed outcome and Y is a random variable from the fitted distribution. This new residual is a single value per subject irrespective of the number of categories of the ordinal outcome, contains directional information between the observed value and the fitted distribution, and does not require the assignment of arbitrary numbers to categories. We study its properties, describe its connections with other residuals, ranks and ridits, and demonstrate its use in model diagnostics. Copyright 2012, Oxford University Press.

Date: 2012
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