Fully Latent Principal Stratification With Measurement Models

Fuente: arXiv
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Autores principales: Lee, Sooyong, Sales, Adam C, Kang, Hyeon-Ah, Whittaker, Tiffany A.
Formato: Preprint
Publicado: 2023
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author Lee, Sooyong
Sales, Adam C
Kang, Hyeon-Ah
Whittaker, Tiffany A.
author_facet Lee, Sooyong
Sales, Adam C
Kang, Hyeon-Ah
Whittaker, Tiffany A.
contents There is wide agreement on the importance of implementation data from randomized effectiveness studies in behavioral science; however, there are few methods available to incorporate these data into causal models, especially when they are multivariate or longitudinal, and interest is in low-dimensional summaries. We introduce a framework for studying how treatment effects vary between subjects who implement an intervention differently, combining principal stratification with latent variable measurement models; since principal strata are latent in both treatment arms, we call it "fully-latent principal stratification" or FLPS. We describe FLPS models including item-response-theory measurement, show that they are feasible in a simulation study, and illustrate them in an analysis of hint usage from a randomized study of computerized mathematics tutors.
format Preprint
id arxiv_https___arxiv_org_abs_2309_04047
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fully Latent Principal Stratification With Measurement Models
Lee, Sooyong
Sales, Adam C
Kang, Hyeon-Ah
Whittaker, Tiffany A.
Methodology
There is wide agreement on the importance of implementation data from randomized effectiveness studies in behavioral science; however, there are few methods available to incorporate these data into causal models, especially when they are multivariate or longitudinal, and interest is in low-dimensional summaries. We introduce a framework for studying how treatment effects vary between subjects who implement an intervention differently, combining principal stratification with latent variable measurement models; since principal strata are latent in both treatment arms, we call it "fully-latent principal stratification" or FLPS. We describe FLPS models including item-response-theory measurement, show that they are feasible in a simulation study, and illustrate them in an analysis of hint usage from a randomized study of computerized mathematics tutors.
title Fully Latent Principal Stratification With Measurement Models
topic Methodology
url https://arxiv.org/abs/2309.04047