Order Dependence in Regression by Composition: Discussion on "Regression by Composition'' by Farewell, Daniel, Stensrud, and Huitfeldt

Fuente: arXiv
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Autores principales: Dong, Mei, Wang, Linbo, Liu, Lin, Dukes, Oliver
Formato: Preprint
Publicado: 2026
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_version_ 1866910148980637696
author Dong, Mei
Wang, Linbo
Liu, Lin
Dukes, Oliver
author_facet Dong, Mei
Wang, Linbo
Liu, Lin
Dukes, Oliver
contents We discuss the regression-by-composition framework of Farewell, Daniel, Stensrud and Huitfeldt, highlighting a key consequence of its sequential construction: order dependence. Reordering the flows may change the implied conditional distribution, the interpretation of model parameters, and the associated estimation problem, with consequences for model specification, interpretation, and inference.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18388
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Order Dependence in Regression by Composition: Discussion on "Regression by Composition'' by Farewell, Daniel, Stensrud, and Huitfeldt
Dong, Mei
Wang, Linbo
Liu, Lin
Dukes, Oliver
Methodology
We discuss the regression-by-composition framework of Farewell, Daniel, Stensrud and Huitfeldt, highlighting a key consequence of its sequential construction: order dependence. Reordering the flows may change the implied conditional distribution, the interpretation of model parameters, and the associated estimation problem, with consequences for model specification, interpretation, and inference.
title Order Dependence in Regression by Composition: Discussion on "Regression by Composition'' by Farewell, Daniel, Stensrud, and Huitfeldt
topic Methodology
url https://arxiv.org/abs/2604.18388