This paper reports the results of some preliminary two‐interval roving‐level discrimination experiments designed to test certain predictions of the preliminary theory of intensity resolution presented in the first paper of this series [N. I. Durlach and L. D. Braida, J. Acoust. Soc. Am.46, 372–383 (1969)]. Discrimination performance was measured for roving‐level ranges in the interval 0 to 54 dB and intersignal durations in the interval 0 to 9 sec. Although the results, when averaged over levels, are roughly consistent with the theory, there is a substantial dependence of sensitivity on level that is inconsistent with the theory. Much of this dependence appears to be similar to that found previously in one‐interval experiments [L. D. Braida and N. I. Durlach, J. Acoust. Soc. Am.51, 483–502 (1972)], and to be interpretable in terms of deviations from Weber's law and the edge effect (caused by the use of the extreme intensities in the stimulus set as perceptual anchors).