Seminar

Shrinkage Estimation of Fixed Effects on Matched Data

Speaker

Xu Cheng (UPenn)

Date & Time

9 May 2023

Type

Seminar

Venue

The Institute for Fiscal Studies
7 Ridgmount Street,
Fitzrovia,
London,
WC1E 7AE

Abstract
This paper develops an empirical Bayes estimator for a panel data model with two-way fixed effects, with a focus on matched data with limited mobility. 
The hyperparameters that control the variance (degree of shrinkage)
and the location of the prior are determined by minimizing an unbiased risk estimate.
We established the optimality of the proposed estimator by showing that it asymptotically attains the same loss as an oracle estimator with a hyperparameter that is chosen based on the knowledge of the fixed effects. In a Monte Carlo study we show that the proposed estimator outperforms a number of competitors, including the least squares estimator. The method will be applied to the estimation of teacher values-added from a linked student-teacher data set obtained from the North Carolina Education Research Data Center.

Join the Zoom meeting:
https://ucl.zoom.us/j/97188073703?pwd=WFM4QUR4SHZhZFNvY0JuQ2RFQW9QQT09

Meeting ID: 971 8807 3703
Passcode: 678017