2006
DOI: 10.1177/1536867x0600600303
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Tests and Confidence Sets with Correct Size when Instruments are Potentially Weak

Abstract: We consider inference in the linear regression model with one endogenous variable and potentially weak instruments. We construct confidence sets for the coefficient on the endogenous variable by inverting the Anderson-Rubin, Lagrange multiplier, and conditional likelihood-ratio tests. Our confidence sets have correct coverage probabilities even when the instruments are weak. We propose a numerically simple algorithm for finding these confidence sets, and we present a Stata command that supersedes the one prese… Show more

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Cited by 88 publications
(59 citation statements)
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“…However, as yet, there is no software for performing such analyses. Other alternative approaches have also been suggested recently, and one based on the conditional likelihood ratio has been programmed in the statistical software package Stata [123,124]. We would suggest that currently researchers using IV analyses in Mendelian randomization studies always report F-statistics from the first-stage regressions to examine the strength of the instrument and avoid making causal inferences, or seek advice from an IV expert where this is close to or less than 10.…”
Section: Weak Instruments In Mendelian Randomization Studiesmentioning
confidence: 99%
“…However, as yet, there is no software for performing such analyses. Other alternative approaches have also been suggested recently, and one based on the conditional likelihood ratio has been programmed in the statistical software package Stata [123,124]. We would suggest that currently researchers using IV analyses in Mendelian randomization studies always report F-statistics from the first-stage regressions to examine the strength of the instrument and avoid making causal inferences, or seek advice from an IV expert where this is close to or less than 10.…”
Section: Weak Instruments In Mendelian Randomization Studiesmentioning
confidence: 99%
“…Had the rule-of-thumb been based on the proportional bias being less that 20% rather than 10%, our F-statistic would have not been deemed problematic. 28 The implementation of this procedure in STATA 11 is by Mikusheva and Poi (2001), and the associated command is condivreg. 29 While we have opted to run all our regressions using STATA's svy:reg command to account for survey design, as is appropriate for our data, the condivreg estimation (table 8) does not permit the use of svy or weights.…”
Section: Other Determinantsmentioning
confidence: 99%
“… Note : The entries in the table show the Confidence Intervals around the parameter value 0 given by the Conditional Likelihood Ratio Test proposed by Moreira () as well as the Confidence Intervals based on the Anderson and Rubin statistic. These are computed using the condivreg command in Stata described in Mikusheva and Poi (). These confidence intervals are robust to the use of weak instruments.…”
Section: Resultsmentioning
confidence: 99%