We show that an integral {ital S} over the spectral function of spin-1 states of the Higgs sector is constrained by precision weak-interaction measurements. Current data exclude large technicolor models; asymmetry measurements at the CERN {ital e}{sup +}{ital e}{sup {minus}} collider LEP and the SLAC Linear Collider will soon provide more stringent limits on Higgs-boson strong interactions.