Biometrika Feb 13, 2026

Bounds on causal effects in 2𝑲 factorial experiments with non-compliance

Authors
M Blackwell N E Pashley
Research Topics
Causal Inference Experimental Design
Paper Information
  • Journal:
    Biometrika
  • DOI:
    10.1093/biomet/asaf084
  • Published:
    February 13, 2026
  • Added to Tracker:
    Feb 10, 2026
Abstract

Summary Factorial experiments are ubiquitous in the social and biomedical sciences, but when units fail to comply with each assigned factor, identification and estimation of the average treatment effects become impossible without strong assumptions. Leveraging an instrumental variables approach, previous studies have shown how to define and estimate the causal effect of treatment uptake among respondents who comply with treatment. A major caveat is that these results rely on strong assumptions on the effect of randomization on treatment uptake. This paper shows how to bound these complier average treatment effects for bounded outcomes under more mild assumptions on non-compliance.

Author Details
M Blackwell
Author
N E Pashley
Author
Research Topics & Keywords
Causal Inference
Research Area
Experimental Design
Research Area
Citation Information
APA Format
M Blackwell & N E Pashley (2026) . Bounds on causal effects in 2𝑲 factorial experiments with non-compliance. Biometrika , 10.1093/biomet/asaf084.
BibTeX Format
@article{paper875,
  title = { Bounds on causal effects in 2𝑲 factorial experiments with non-compliance },
  author = { M Blackwell and N E Pashley },
  journal = { Biometrika },
  year = { 2026 },
  doi = { 10.1093/biomet/asaf084 },
  url = { https://doi.org/10.1093/biomet/asaf084 }
}