Messy Measurement: Approaches to Causal Inference With Unobserved Variables

This dissertation focuses on methods for conducting causal inference when an essential variable is unobserved. The first paper provides new methods for causal inference with bundled variables. A bundled variable is one that, rather than being observed directly, is instead represented as a collection...

Full description

Bibliographic Details
Main Author: Markovich, Zachary
Other Authors: Yamamoto, Teppei
Format: Thesis
Published: Massachusetts Institute of Technology 2024
Online Access:https://hdl.handle.net/1721.1/154178
_version_ 1826215446433497088
author Markovich, Zachary
author2 Yamamoto, Teppei
author_facet Yamamoto, Teppei
Markovich, Zachary
author_sort Markovich, Zachary
collection MIT
description This dissertation focuses on methods for conducting causal inference when an essential variable is unobserved. The first paper provides new methods for causal inference with bundled variables. A bundled variable is one that, rather than being observed directly, is instead represented as a collection of proxies present in the dataset. The only existent approach to causal inference in this setting is to dimension reduce the proxies, thereby recovering the missing treatment or moderator. The first paper of this dissertation provides a new method for quantifying the causal effect of the full bundle, thereby sidestepping this missing data problem. The second paper provides a new method for analyzing randomized experiments with non-compliance. Researchers typically attempt to estimate the treatment effect only among compliers in such cases, but compliance status is not directly observed, so instrumental variables methods are used instead of directly conditioning on compliance. I propose an alternative estimator based on upweighting units that are likely compliers. I show that this estimator is asymptotically conservative under weaker assumptions than instrumental variables models require. The final paper (joint with Ariel White) turns to an applied causal inference task and focuses on the effect that minimum wage increases have on the probability of voting. Because receiving a pay raise due to a minimum wage increase is confounded by income and socio-economic status (which goes unobserved), we employ a difference-indifferences design that provides credible causal evidence that minimum wage increases raise the turnout rate of affected workers.
first_indexed 2024-09-23T16:29:22Z
format Thesis
id mit-1721.1/154178
institution Massachusetts Institute of Technology
last_indexed 2024-09-23T16:29:22Z
publishDate 2024
publisher Massachusetts Institute of Technology
record_format dspace
spelling mit-1721.1/1541782024-04-18T03:03:25Z Messy Measurement: Approaches to Causal Inference With Unobserved Variables Markovich, Zachary Yamamoto, Teppei Massachusetts Institute of Technology. Department of Political Science This dissertation focuses on methods for conducting causal inference when an essential variable is unobserved. The first paper provides new methods for causal inference with bundled variables. A bundled variable is one that, rather than being observed directly, is instead represented as a collection of proxies present in the dataset. The only existent approach to causal inference in this setting is to dimension reduce the proxies, thereby recovering the missing treatment or moderator. The first paper of this dissertation provides a new method for quantifying the causal effect of the full bundle, thereby sidestepping this missing data problem. The second paper provides a new method for analyzing randomized experiments with non-compliance. Researchers typically attempt to estimate the treatment effect only among compliers in such cases, but compliance status is not directly observed, so instrumental variables methods are used instead of directly conditioning on compliance. I propose an alternative estimator based on upweighting units that are likely compliers. I show that this estimator is asymptotically conservative under weaker assumptions than instrumental variables models require. The final paper (joint with Ariel White) turns to an applied causal inference task and focuses on the effect that minimum wage increases have on the probability of voting. Because receiving a pay raise due to a minimum wage increase is confounded by income and socio-economic status (which goes unobserved), we employ a difference-indifferences design that provides credible causal evidence that minimum wage increases raise the turnout rate of affected workers. Ph.D. 2024-04-17T21:09:03Z 2024-04-17T21:09:03Z 2023-09 2023-10-24T19:59:51.630Z Thesis https://hdl.handle.net/1721.1/154178 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology
spellingShingle Markovich, Zachary
Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title_full Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title_fullStr Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title_full_unstemmed Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title_short Messy Measurement: Approaches to Causal Inference With Unobserved Variables
title_sort messy measurement approaches to causal inference with unobserved variables
url https://hdl.handle.net/1721.1/154178
work_keys_str_mv AT markovichzachary messymeasurementapproachestocausalinferencewithunobservedvariables