Inferential Statisticshard
0:00.0

In a clinical trial, researchers observe that the MLE for a treatment effect parameter β\beta is β^=5.0\hat{\beta} = 5.0 with an estimated standard error SE(β^)=2.0SE(\hat{\beta}) = 2.0. If they use the Wald test to evaluate H0:β=0H_0: \beta = 0, but the likelihood surface is highly asymmetric due to small sample size, what is the most significant risk of relying solely on the Wald statistic W=(β^/SE)2W = (\hat{\beta}/SE)^2?