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Partial Identification of Individual-Level Parameters Using Aggregate Data in a Nonparametric Model

Sarah Moon

arXiv 12 Mar 2024 · Econometrics

arXiv:2403.07236 · PDF · DOI · OpenAlex · Extracted main text

Abstract

I develop a methodology to partially identify linear combinations of conditional mean outcomes when the researcher only has access to aggregate data. Unlike the existing literature, I only allow for marginal, not joint, distributions of covariates in my model of aggregate data. Bounds are obtained by solving an optimization program and can easily accommodate additional polyhedral shape restrictions. I provide an empirical illustration of the method to Rhode Island standardized exam data.

Citation extraction

25
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54
in-text mentions
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distinct cited
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appendix boundary found by appendix_command · 82% 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
1Cross, P. J. and C. F. Manski (2002) Regressions, short and long0.95825488%
2Cho, W. K. T. and C. F. Manski (2008) Cross-level/ecological inference0.9285380%
3Imbens, G. W. and C. F. Manski (2004) Confidence intervals for partially identified parameters0.51121100%
4Tavernise, S (2012) Education gap grows between rich and poor, studies say0.40511100%
5Porter, E (2015) Education gap between rich and poor is growing wider0.40511100%
6Bhatia, R. and C. Davis (2000) A better bound on the variance0.40511100%
7Buchinsky, M., F. Li, and Z. Liao (2022) Estimation and inference of semiparametric models using data from several sources0.40511100%
8Tam Cho, W. K (1998) Iff the assumption fits…: A comment on the King ecological inference solution0.40511100%
9Cho, W. K. T. and B. J. Gaines (2004) The limits of ecological inference: The case of split-ticket voting0.40511100%
10Duncan, O. D. and B. Davis (1953) An alternative to ecological correlation0.40511100%

Showing the top 10 of 25 scored citations.