  In a previous analysis presented in hep-ph/0412166, electroweak constraints
were given on arbitrary linear combinations of a set of dimension-6 operators.
Flavor universality and thus U(3)^5 flavor symmetry were assumed for the
operators. In this article, we expand the analysis to account for the
flavor-dependent theories that distinguish the third generation of fermions
from the light two generations. We still assume flavor universality for the
light two generations to avoid large FCNCs. Consequently, the U(3)^5 flavor
symmetry is relaxed to [U(2)xU(1)]^5, and therefore more operators are added.
We calculate the corrections to electroweak precision observables, assuming
arbitrary coefficients for the operators. The corrections are combined with the
standard model predictions and the experimental data to obtain the chi^2
distribution as a function of the operator coefficients. We apply our result to
constrain two flavor-dependent extensions of the standard model: the simplest
little Higgs model and a model with an SU(2)xSU(2)xU(1) gauge group.
