Cochlear response growth is the change in basilar membrane (BM) motion as a function of input stimulus level. Various methods have been applied to measured cochlear response growth. It can be measured physically from BM motion or physiologically from otoacoustic emission (OAEs). Results of the two measurements are in accord with each other showing that cochlea response growth has compressive nonlinearity although the estimated degree of compression may differ across different methods. In this paper, we will discuss in detail of how the genuine character of cochlear response growth is measured physically and physiologically, the potential causes of resulting discrepancy among different measures and how these measures might influence the outcome of recorded cochlear response growth.