Citation

Lloyd CJ. Biometrika 1996; 83(3): 563-573.

Copyright

(Copyright © 1996, Biometrika Trust, Publisher Oxford University Press)

DOI

10.1093/biomet/83.3.563

PMID

unavailable

Abstract

The problem of estimating the number of binary responses that can be attributed to high levels of a continuous covariate is studied. The distribution of the covariate in the population is combined with the relative odds of response to produce a function, areas under which represent numbers of responses attributable to covariate values in that range. A combination of parametric and nonparametric smoothing is proposed. Consistent estimates of variance are developed as well as confidence bands for the attributable response function based on the bootstrap. The methods are illustrated on data relating fatal motor accident involvement to alcohol impairment of the driver.