The invention relates to a method and apparatus for monitoring the anesthetic state of a subject. Physiological signal data including EEG and possibly also EMG signal components is acquired from a subject and supplied to a monitoring process configured to derive, based on the said data, a state index indicative of the anesthetic state of the subject. In order to extend the applicability of present-day monitoring processes, the operation of the monitoring process is controlled according to whether at least one drug inducing high frequency EEG signal components is administered to the subject. The presence of the high frequency EEG signal components in the physiological signal data may be detected automatically.