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Inferential Statisticshard
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In a study involving a parameter θ\thetaθ, you compare the Wald statistic W=(θ^−θ0)2Var(θ^)W = \frac{(\hat{\theta} - \theta_0)^2}{Var(\hat{\theta})}W=Var(θ^)(θ^−θ0​)2​ and the Likelihood Ratio Test statistic λ=−2ln⁡L(θ0)L(θ^)\lambda = -2 \ln \frac{L(\theta_0)}{L(\hat{\theta})}λ=−2lnL(θ^)L(θ0​)​. If the log-likelihood surface is highly asymmetric and skewed in the neighborhood of θ0\theta_0θ0​, which of the following is true regarding these tests?