In a method for determining a dead time in the response characteristic of an exhaust gas sensor in order to determine an exhaust gas state quantity in an exhaust gas duct of an internal combustion engine, the dead time is determined from a measured output signal of the exhaust gas sensor and a comparison signal. An undelayed comparison signal is determined, and a cross-correlation is formed between the measured output signal and the comparison signal delayed by a model dead time selected in such a way that the cross-correlation function assumes a maximum, and the dead time of the measured output signal is set equal to the selected model dead time.