Before revision:  The test statistic has an asymptotically pivotal distribution (a student t-distribution with K-1 degrees of freedom) , which makes our procedure very easy to implement . Our approach has several theoretical advantages. First, it does not rely on any sparsity assumptions. Second, it is fully robust against misspecification of the linear model.
After revision:  The test statistic has an asymptotically pivotal distribution (a student t-distribution with K-1 degrees of freedom) , which makes our procedure very easy to implement , provably robust against misspecification of the linear model.