Simes test ($p_{\mathrm{Simes}}=\min (1,{\min }_{i}m{p}_{(i)}/i)$)

For the intersection of $m$ null hypotheses, reject when ${\min }_{i}m{p}_{(i)}/i\le \alpha$. The Simes inequality establishes a level-$\alpha$ test under independence of valid true-null p-values. The displayed quantity is its combined p-value.