Invariant tests in an instrumental variables model with unknown data generating process

Resumo

In this work we focus on tests for the parameter of an endogenous variable in a weakly identi ed instrumental variable regressionmodel. We propose a new unbiasedness restriction for weighted average power (WAP) tests introduced by Moreira and Moreira (2013). This new boundary condition is motivated by the score e ciency under strong identi cation. It allows reducing computational costs of WAP tests by replacing the strongly unbiased condition. This latter restriction imposes, under the null hypothesis, the test to be uncorrelated to a given statistic with dimension given by the number of instruments. The new proposed boundary condition only imposes the test to be uncorrelated to a linear combination of the statistic. WAP tests under both restrictions to perform similarly numerically. We apply the di erent tests discussed to an empirical example. Using data from Yogo (2004), we assess the e ect of weak instruments on the estimation of the elasticity of inter-temporal substitution of a CCAPM model.

Ficha do documento

Tipo

Dissertação

Ano

2015

Instituição

Fundação Getulio Vargas

Fonte

Repositório da FGV

Idioma

Inglês

Acesso

Acesso aberto

Identificador

oai:repositorio.fgv.br:10438/15228

Temas

EconomiaDados

Palavras-chave

Instrumental variable regressionInvariant testsOptimal testsSimilar testsUnbiased testsWeighted average power testsWeak instrumentsRegressão com variáveis instrumentaisTestes invariantesTestes ótimosTestes similaresTestes não viesadosInstrumentos fracosEconomiaAnálise de regressãoVariáveis instrumentais (Estatística)Testes de hipóteses estatísticas