Hahn-Hausman Test as a Specification Test∗

نویسندگان

  • Yoonseok Lee
  • Ryo Okui
  • Mehmet Caner
  • Juan Carlos Escanciano
  • Nikolay Gospodinov
  • Jinyong Hahn
  • Han Hong
  • Simon Lee
  • Yukitoshi Matsushita
چکیده

This paper develops a modified version of the Sargan (1958, Econometrica 26(3): 393-415) test statistic of overidentifying restrictions, and shows that it is numerically equivalent to the test statistic of Hahn and Hausman (2002, Econometrica 70(1): 163-189) up to a sign. The modified Sargan test is constructed such that its asymptotic distribution under the null hypothesis of correct specification is standard normal when the number of instruments increases with the sample size. The equivalence result is useful in understanding what the Hahn-Hausman test detects and its power properties.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Specification Test for Instrumental Variables Regression with Many Instruments∗

This paper considers specification testing for instrumental variables estimation in the presence of many instruments. The test is similar to the overidentifying restrictions test of Sargan (1958) but the test statistic asymptotically follows the standard normal distribution under the null hypothesis when the number of instruments is proportional to the sample size. It turns out that the new tes...

متن کامل

Weak Instruments: Diagnosis and Cures in Empirical Econometrics

What is the weak instruments (WI) problem and what causes it? Universal agreement does not exist on these questions. We define weak instruments by two features: (1) 2SLS is badly biased toward the OLS estimate and alternative “unbiased” estimators such as LIML may not solve the problem and (2) the standard (first order) asymptotic distribution does not give an accurate framework for inference. ...

متن کامل

Asymptotic Properties of the Hahn-Hausman Test for Weak Instruments

This note provides the weak-instrument asymptotic distributions of Hahn and Hausman’s (2002) tests for instrument validity. These distributions are used to compute asymptotic rejection rates when instruments are weak and, as a special case, irrelevant. These tests were proposed as pretests, and the asymptotic properties of post-test inferences, conditional on the tests failing to reject instrum...

متن کامل

The Hausman Test and Weak Instruments

We consider the following problem. There is a structural equation of interest that contains an explanatory variable that theory predicts is endogenous. There are one or more instrumental variables that credibly are exogenous with regard to this structural equation, but which have limited explanatory power for the endogenous variable. Further, there is one or more potentially ‘strong’ instrument...

متن کامل

Test of Random vs Fixed E¤ects with Small Within Variation

Comparisons of within and between estimators using the conventional Hausman test may be subject to statistical problems if the within variation is not su¢ ciently large. Adopting an alternative asymptotic approximation, we propose a modi…cation of Hausman test that is valid whether the within variation is small or large. 1 Introduction With the advent of many panel data sets, researchers are co...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011