
Definition and Evaluation of the Monotonicity Condition for Preference-based Instruments
Author(s) -
Sonja A. Swanson,
Matthew Q. Miller,
James M. Robins,
Miguel A. Hernán
Publication year - 2015
Publication title -
epidemiology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.901
H-Index - 173
eISSN - 1531-5487
pISSN - 1044-3983
DOI - 10.1097/ede.0000000000000279
Subject(s) - monotonic function , preference , econometrics , mathematical economics , mathematics , statistics , computer science , mathematical analysis
Preference-based instrumental variable methods are often used in comparative effectiveness research. Many instrumental variable studies estimate the local average treatment effect (ie, the effect in the "compliers") under the assumption of monotonicity, ie, no "defiers," and well-defined compliance types. However, the monotonicity assumption has not been empirically tested and the meaning of monotonicity itself is unclear.