Abstract
A growing number of applications involve settings where, in order to infer heterogeneous effects, a researcher compares various units. Examples of research designs include children moving between different neighborhoods, workers moving between firms, patients migrating from one city to another, and banks offering loans to different firms. We present a unified framework for these settings, based on a linear model with normal random coefficients and normal errors. Using the model, we discuss how to recover the mean and dispersion of effects, other features of their distribution, and how to construct predictors of the effects. We provide moment conditions on the model’s parameters, and outline various estimation strategies. One of the main objectives of the paper is to clarify some of the underlying assumptions by highlighting their economic content, and to discuss and inform some of the key practical choices.
Reference54 articles.
1. Abowd, John M., Robert H. Creecy and Francis Kramarz. (2002). “Computing person and firm effectsusing linked longitudinal employer-employee data”. LEHD Technical Papers, TP-2002-06,Center for Economic Studies, US Census Bureau. https://www2.census.gov/ces/tp/tp-2002-06.pdf
2. Abowd, John M., Francis Kramarz and David N. Margolis. (1999). “High wage workers and highwage firms”. Econometrica, 67(2), pp. 251-333. https://doi.org/10.1111/1468-0262.00020
3. Abowd, John M., Francis Kramarz and Simon Woodcock. (2008). “Econometric analyses of linkedemployer-employee data”. In László Mátyás and Patrick Sevestre (eds.), The econometrics ofpanel data: Fundamentals and recent developments in theory and practice. Springer, pp. 727-760.https://doi.org/10.1007/978-3-540-75892-1_22
4. Abowd, John M., Kevin L. McKinney and Ian M. Schmutte. (2019). “Modeling endogenous mobilityin earnings determination”. Journal of Business & Economic Statistics, 37(3), pp. 405-418. https://doi.org/10.1080/07350015.2017.1356727
5. Aloni, Tslil, and Hadar Avivi. (2023). “One land, many promises: The unequal consequences ofchildhood location for natives and immigrants in Israel”. https://avivihadar.github.io/files/many_promises_jmp.pdf