Confidence sets based on inverting Anderson-Rubin tests

Arbeitspapier

Economists are often interested in the coefficient of a single endogenous explanatory variable in a linear simultaneous equations model. One way to obtain a confidence set for this coefficient is to invert the Anderson-Rubin test. The AR confidence sets that result have correct coverage under classical assumptions. In this paper, however, we show that AR confidence sets also have many undesirable properties. Their coverage conditional on quantities that the investigator can observe, notably the Sargan statistic, can be far from correct. It is well known that they can be unbounded when the instruments are weak. Even when they are bounded, their length may be very misleading. We argue that, at least when the instruments are not so weak that inference is hopeless, it is much better to obtain confidence intervals by bootstrapping either the IV or LIML t statistic on the coefficient of interest in a particular way that we propose.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Queen's Economics Department Working Paper ; No. 1257

Classification and Topics

• Classification: Wirtschaft ; Statistical Simulation Methods: General ; Single Equation Models: Single Variables: Instrumental Variables (IV) Estimation ; Multiple or Simultaneous Equation Models: Instrumental Variables (IV) Estimation
• Subject: bootstrap ; confidence interval ; instrumental variables ; LIML ; Sargan test ; weak instruments ; Bootstrap-Verfahren ; Schätztheorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Davidson, Russell ; MacKinnon, James G.
• Event: Veröffentlichung
• (who): Queen's University, Department of Economics
• (where): Kingston (Ontario)
• (when): 2011

Further information

• Handle: http://hdl.handle.net/10419/67770
• Last update: 10.03.2025, 11:42 AM CET