Set-valued dynamic treatment regimes for competing outcomes

By Eric B. Laber, Daniel J. Lizotte, Bradley Ferguson. 2012

73 citations recorded by the source corpus.

Dynamic treatment regimes (DTRs) operationalize the clinical decision process as a sequence of functions, one for each clinical decision, where each function maps up‐to‐date patient information to a single recommended treatment. Current methods for estimating optimal DTRs, for example Q‐learning, require the specification of a single outcome by which the “goodness” of competing dynamic treatment regimes is measured. However, this is an over‐simplification of the goal of clinical decision making, which aims to balance several potentially competing outcomes, for example, symptom relief and side‐effect burden. When there are competing outcomes and patients do not know or cannot communicate their preferences, formation of a single composite outcome that correctly balances the competing outcomes is not possible. This problem also occurs when patient preferences evolve over time. We propose a method for constructing DTRs that accommodates competing outcomes by recommending sets of treatments at each decision point. Formally, we construct a sequence of set‐valued functions that take as input up‐to‐date patient information and give as output a recommended subset of the possible treatments. For a given patient history, the recommended set of treatments contains all treatments that produce non‐inferior outcome vectors. Constructing these set‐valued functions requires solving a non‐trivial enumeration problem. We offer an exact enumeration algorithm by recasting the problem as a linear mixed integer program. The proposed methods are illustrated using data from the CATIE schizophrenia study.

Subfields: Economics and Econometrics, Psychiatry and Mental health, Statistics and Probability

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Economics and Econometrics

  1. Eric B. Laber
  2. Michael R. Kosorok
  3. Kristin A. Linn
  4. Leonard A. Stefanski
  5. Chao Yu
  6. Jiming Liu
  7. Shamim Nemati
  8. Ying‐Qi Zhao

In Psychiatry and Mental health

  1. Michael R. Kosorok
  2. Leonard A. Stefanski
  3. Kristin A. Linn
  4. Ying‐Qi Zhao
  5. Shamim Nemati
  6. Chao Yu
  7. Jiming Liu
  8. Eric B. Laber

In Statistics and Probability

  1. Eric B. Laber
  2. Michael R. Kosorok
  3. Kristin A. Linn
  4. Leonard A. Stefanski
  5. Chao Yu
  6. Jiming Liu
  7. Ying‐Qi Zhao
  8. Shamim Nemati

Citations in the corpus