EconBase
← All papers

Data-driven model selection within the matrix completion method for causal panel data models

Sandro Heiniger

arXiv 2 Feb 2024 · Econometrics

arXiv:2402.01069 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Matrix completion estimators are employed in causal panel data models to regulate the rank of the underlying factor model using nuclear norm minimization. This convex optimization problem enables concurrent regularization of a potentially high-dimensional set of covariates to shrink the model size. For valid finite sample inference, we adopt a permutation-based approach and prove its validity for any treatment assignment mechanism. Simulations illustrate the consistency of the proposed estimator in parameter estimation and variable selection. An application to public health policies in Germany demonstrates the data-driven model selection feature on empirical data and finds no effect of travel restrictions on the containment of severe Covid-19 infections.

Citation extraction

57
references
87
in-text mentions
57
distinct cited
0
self-citations
8,590
main-text words

appendix boundary found by appendix_command · 55% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1S. Athey, M. Bayati, N. Doudchenko, G. Imbens, and K. Khosravi (2021) Matrix completion methods for causal panel data models0.91613577%
2V. Chernozhukov, K. Wüthrich, and Y. Zhu (2021) An exact and robust conformal inference method for counterfactual and synthetic controls0.85113662%
3T. Hastie, R. Tibshirani, J. H. Friedman, and J. H. Friedman (2009) The elements of statistical learning: data mining, inference, and prediction, volume 20.7373367%
4V. Chernozhukov, C. Hansen, and M. Spindler (2015) Valid post-selection and post-regularization inference: An elementary, general approach0.64422100%
5R. Mazumder, T. Hastie, and R. Tibshirani (2010) Spectral regularization algorithms for learning large incomplete matrices0.5112250%
6P. R. Rosenbaum and D. B. Rubin (1983) The central role of the propensity score in observational studies for causal effects0.5112250%
7J. Basseal, C. Bennett, P. Collignon, B. Currie, D. Durrheim, J. Lea… (2023) Key lessons from the covid-19 public health response in australia0.51121100%
8Y. Chen and Y. Yang (2021) The one standard error rule for model selection: Does it work?0.40511100%
9T. Christensen, M. D. Jensen, M. Kluth, G. H. Kristinsson, K. Lyngga… (2023) The nordic governments' responses to the covid-19 pandemic: A comparative study of variation in governance arrangements and regu…0.40511100%
10S. Heiniger (2024) MCMS, 20240.40511100%

Showing the top 10 of 57 scored citations.