3 problems

Conservativeness conjecture. Given a specific value of $s$, classical tests should be conservative when both $\alpha_S=0$ and $\beta_M+\theta s=0$.

Let $\ell$ be the number of coefficients in the product-null hypothesis … and suppose the corresponding asymptotically normal standardized estimator is available. For unit-fraction…

Validity conjecture. The random variable $\hat{p}$ is a valid $p$-value: uniformly over the composite null hypothesis space, its distribution stochastically dominates the uniform d…