Statistics Graduate Level Quiz
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For an interior scalar parameter ψ\psi in a regular model, the signed root profile likelihood-ratio statistic is approximately standard normal. An analyst wants a one-sided 95% upper confidence bound and will determine its endpoint on the upper side of ψ^\widehat\psi.
To which value should the ordinary profile likelihood-ratio statistic 2{ℓp(ψ^)−ℓp(ψ)}2\{\ell_p(\widehat\psi)-\ell_p(\psi)\} be equated at the upper endpoint?
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