Nonparametric estimation of broad sense agreement between ordinal and censored continuous outcomes.

Abstract:

:The concept of broad sense agreement (BSA) has recently been proposed for studying the relationship between a continuous measurement and an ordinal measurement. They developed a nonparametric procedure for estimating the BSA index, which is only applicable to completely observed data. In this work, we consider the problem of evaluating BSA index when the continuous measurement is subject to censoring. We propose a nonparametric estimation method built upon a derivation of a new functional representation of the BSA index, which allows for accommodating censoring by plugging in the nonparametric survival function estimators. We establish the consistency and asymptotic normality for the proposed BSA estimator. We also investigate an alternative approach based on the strategy of multiple imputation, which is shown to have better empirical performance with small sample sizes than the plug-in method. Extensive simulation studies are conducted to evaluate our proposals. We illustrate our methods via an application to a Surgical Intensive Care Unit study.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Dai T,Guo Y,Peng L,Manatunga A

doi

10.1002/sim.8523

subject

Has Abstract

pub_date

2020-06-30 00:00:00

pages

1952-1964

issue

14

eissn

0277-6715

issn

1097-0258

journal_volume

39

pub_type

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