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Main Authors: Bui, Minh Thu, Longenecker, Christopher T., Bing, Ante, Spiegelman, Donna, Webel, Allison R., Bosworth, Hayden B., Lok, Judith J.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.13276
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author Bui, Minh Thu
Longenecker, Christopher T.
Bing, Ante
Spiegelman, Donna
Webel, Allison R.
Bosworth, Hayden B.
Lok, Judith J.
author_facet Bui, Minh Thu
Longenecker, Christopher T.
Bing, Ante
Spiegelman, Donna
Webel, Allison R.
Bosworth, Hayden B.
Lok, Judith J.
contents The Learn-As-you-Go (LAGO) design is an adaptive clinical trial design that allows modifications to multicomponent intervention packages across stages. Centers participate in more than one stage, as is common in large-scale implementation trials. In LAGO trials, center characteristics may act as confounders, predicting both the intervention package and the outcomes. We extend the LAGO theory by introducing fixed center effects to control for confounding by indication through measured and unmeasured center characteristics. Conditioning on center characteristics by including fixed center effects ensures asymptotic results hold without requiring explicit characterization of unmeasured confounders. Our methods apply even with small numbers of centers. LAGO theory is established for continuous outcomes following a generalized linear model and binary outcomes following a logistic regression model, unifying theory across outcome types. Point- and interval estimators are derived, and consistency and asymptotic normality are established. Valid hypothesis tests for the overall intervention effect are provided, and the optimal intervention package minimizing cost subject to a target outcome mean is obtained via constrained optimization.
format Preprint
id arxiv_https___arxiv_org_abs_2604_13276
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Addressing Confounding by Indication Through (Un)Measured Centre Characteristics in Learn-As-you-GO(LAGO) Trials
Bui, Minh Thu
Longenecker, Christopher T.
Bing, Ante
Spiegelman, Donna
Webel, Allison R.
Bosworth, Hayden B.
Lok, Judith J.
Methodology
Statistics Theory
The Learn-As-you-Go (LAGO) design is an adaptive clinical trial design that allows modifications to multicomponent intervention packages across stages. Centers participate in more than one stage, as is common in large-scale implementation trials. In LAGO trials, center characteristics may act as confounders, predicting both the intervention package and the outcomes. We extend the LAGO theory by introducing fixed center effects to control for confounding by indication through measured and unmeasured center characteristics. Conditioning on center characteristics by including fixed center effects ensures asymptotic results hold without requiring explicit characterization of unmeasured confounders. Our methods apply even with small numbers of centers. LAGO theory is established for continuous outcomes following a generalized linear model and binary outcomes following a logistic regression model, unifying theory across outcome types. Point- and interval estimators are derived, and consistency and asymptotic normality are established. Valid hypothesis tests for the overall intervention effect are provided, and the optimal intervention package minimizing cost subject to a target outcome mean is obtained via constrained optimization.
title Addressing Confounding by Indication Through (Un)Measured Centre Characteristics in Learn-As-you-GO(LAGO) Trials
topic Methodology
Statistics Theory
url https://arxiv.org/abs/2604.13276