A new linear regression-like residual for survival analysis, with application to genome wide association studies of time-to-event data

Veronica J Vieland, Sang-Cheol Seok and William C L Stewart

PLOS ONE, 2020, vol. 15, issue 5, 1-15

Abstract: In linear regression, a residual measures how far a subject's observation is from expectation; in survival analysis, a subject's Martingale or deviance residual is sometimes interpreted similarly. Here we consider ways in which a linear regression-like interpretation is not appropriate for Martingale and deviance residuals, and we develop a novel time-to-event residual which does have a linear regression-like interpretation. We illustrate the utility of this new residual via simulation of a time-to-event genome-wide association study, motivated by a real study seeking genetic modifiers of Duchenne Muscular Dystrophy. By virtue of its linear regression-like characteristics, our new residual may prove useful in other contexts as well.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0232300

DOI: 10.1371/journal.pone.0232300

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