Methods and formulas for the diagnostic measures in Binary Logistic Regression

Deviance residuals

Deviance residuals are based on the model deviance and are useful in identifying ill-fitted factor/covariate patterns. The model deviance is a goodness-of-fit statistic based on the log-likelihood function. The deviance residual defined for the ith factor/covariate pattern is:

Notation

TermDescription
yi the response value for the ith factor/covariate pattern
the fitted value for the ith factor/covariate pattern
the deviance for the ith factor/covariate pattern
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