{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T17:48:06Z","timestamp":1790617686377,"version":"4.1.0"},"reference-count":21,"publisher":"The Econometric Society","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ECTA"],"abstract":"<jats:p>I study a regression model in which one covariate is an unknown function of a latent driver of link formation in a network. Rather than specify and fit a parametric network formation model, I introduce a new method based on matching pairs of agents with similar columns of the squared adjacency matrix, the \n            <jats:italic>ij<\/jats:italic>th entry of which contains the number of other agents linked to both agents \n            <jats:italic>i<\/jats:italic> and \n            <jats:italic>j<\/jats:italic>. The intuition behind this approach is that for a large class of network formation models the columns of the squared adjacency matrix characterize all of the identifiable information about individual linking behavior. In this paper, I describe the model, formalize this intuition, and provide consistent estimators for the parameters of the regression model.\n          <\/jats:p>","DOI":"10.3982\/ecta19794","type":"journal-article","created":{"date-parts":[[2022,1,21]],"date-time":"2022-01-21T08:18:21Z","timestamp":1642753101000},"page":"347-365","source":"Crossref","is-referenced-by-count":38,"title":["Identification and Estimation of a Partially Linear Regression Model Using Network Data"],"prefix":"10.3982","volume":"90","author":[{"given":"Eric","family":"Auerbach","sequence":"first","affiliation":[{"name":"Department of Economics, Northwestern University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2359","published-online":{"date-parts":[[2022]]},"reference":[{"issue":"1\u20132","key":"ecta200383-bib-0001","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0304-4076(93)90111-H","volume":"58","author":"Ahn","year":"1993","journal-title":"Journal of Econometrics"},{"key":"ecta200383-bib-0002","unstructured":"Arduini, T., E. 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