  We discuss the potential of the advanced ground-based gravitational-wave
detectors such as LIGO, Virgo, and KAGRA to detect generic deviations of
gravitational waveforms from the predictions of general relativity. We use the
parameterized post-Einsteinian formalism to characterize the deviations, and
assess what magnitude of deviations are detectable by using an approximate
decision scheme based on Bayesian statistics. We find that there exist
detectable regions of the parameterized post-Einsteinian parameters for
different binary masses from the observation of a single gravitational wave
event. The regions are not excluded by currently existing binary pulsar
observations for the parameterized post-Einsteinian parameters at higher
post-Newtonian order. We also find that neglect of orbital eccentricity or
tidal deformation effects do not cause a significant bias on the detectable
region of generic deviations from general relativity.
