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In this paper we elaborate on earlier work by the same authors in which anovel Bayesian inference framework for testing the strong-field dynamics ofGeneral Relativity using coalescing compact binaries was proposed. Unlikemethods that were used previously, our technique addresses the question whetherone or more 'testing coefficients' (e.g. in the phase) parameterizingdeviations from GR are non-zero, rather than all of them differing from zero atthe same time. The framework is well-adapted to a scenario where most sourceshave low signal-to-noise ratio, and information from multiple sources as seenin multiple detectors can readily be combined. In our previous work, weconjectured that this framework can detect generic deviations from GR that canin principle not be accomodated by our model waveforms, on condition that thechange in phase near frequencies where the detectors are the most sensitive iscomparable to that induced by simple shifts in the lower-order phasecoefficients of more than a few percent ($\sim 5$ radians at 150 Hz). Tofurther support this claim, we perform additional numerical experiments inGaussian and stationary noise according to the expected Advanced LIGO/Virgonoise curves, and coherently injecting signals into the network whose phasingdiffers structurally from the predictions of GR, but with the magnitude of thedeviation still being small. We find that even then, a violation of GR can beestablished with good confidence.

Towards a generic test of the strong field dynamics of general relativity using compact binary coalescence: Further investigations