1. A method of fitting to a recipient a cochlear implant including a plurality of stimulation channels, comprising: applying to at least one stimulation channel of the cochlear implant a first stimulus signal comprising a neural response component and a psychophysics signal component; automatically measuring an evoked compound action potential (ECAP) of the recipient evoked in response to the application of the neural response component of the first stimulus signal; and simultaneously providing to a user an indication of the automatically measured ECAP and a value of the applied psychophysics signal component.