The Wald statistic $W$ monotonically increases as $|"hat{\Delta}"|$ increases.

The Wald statistic $W$ decreases as $|"hat{\Delta}"|$ moves further from the null value, leading to potentially non-significant results for large effects.

The standard error $SE(\hat{\Delta})$ remains constant regardless of the parameter value.

The Wald statistic $W$ is equivalent to the Likelihood Ratio Test statistic in all finite sample sizes.