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