The presence of an extra dimension of size R approximate to TeV-1 introduces a tower of Kaluza-Klein gauge boson excitations that affects the standard model relations between electroweak observables. The mixing BE the W and Z bosons with their excitations changes their masses and couplings to fermions. This effect depends on the Higgs field, which may live in the bulk of the extra dimension, on its boundary, or may be a combination of both types of fields. We use high-precision electroweak data to constrain 1/R. We find limits from 1 to 3 TeV from different observables, with a model-independent lower bound of 2.5 TeV. [S0556-2821(99)01021-8].