Selection of the Optimal Personalized Treatment from Multiple Treatments with Right-censored Multivariate Outcome MeasuresWe propose a novel personalized concept for the optimal treatment selection
for a situation where the response is a multivariate vector, that could contain
right-censored variables such as survival time. The proposed method can be
applied with any number of treatments and outcome variables, under a broad set
of models. Following a working semiparametric Single Index Model that relates
covariates and responses, we first define a patient-specific composite score,
constructed from individual covariates. We then estimate conditional means of
each response, given the patient score, correspond to each treatment, using a
nonparametric smooth estimator. Next, a rank aggregation technique is applied
to estimate an ordering of treatments based on ranked lists of treatment
performance measures given by conditional means. We handle the right-censored
data by incorporating the inverse probability of censoring weighting to the
corresponding estimators. An empirical study illustrates the performance of the
proposed method in finite sample problems. To show the applicability of the
proposed procedure for real data, we also present a data analysis using HIV
clinical trial data, that contained a right-censored survival event as one of
the endpoints.
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