English, Article, Journal or magazine article edition: Inference in Regression Models with Many Regressors Stanislav Anatolyev

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Bookmark: http://trove.nla.gov.au/version/17033
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Inference in Regression Models with Many Regressors
Author
  • Stanislav Anatolyev
Physical Description
  • preprint
Notes
  • We investigate the behavior of various standard and modi?ed F, LR and LM tests in linear homoskedastic regressions, adapting an alternative asymptotic framework where the number of regressors and possibly restrictions grows proportionately to the sample size. When restrictions are not numerous, the rescaled classical test statistics are asymptotically chi-squared irrespective of whether there are many or few regressors. However, when restrictions are numerous, standard asymptotic versions of classical tests are invalid. We propose and analyze asymptotically valid versions of the classical tests, including those that are robust to the numerosity of regressors and restrictions. The local power of all asymptotically valid tests under consideration turns out to be equal. The ?exact? F test that appeals to critical values of the F distribution is also asymptotically valid and robust to the numerosity of regressors and restrictions.
  • Alternative asymptotic theory, linear regression, test size, test power, F test, Wald test, Likelihood Ratio test, Lagrange Multiplier test
  • RePEc:cfr:cefirw:w0125
Language
  • English
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