Values of the changes ﹩( \Delta \sigma ) ^{f}﹩ in the widths of the peaks fitted for each GRB studied using BATSE and OSSE data, plotted vs. ﹩\tilde{z}=1-( 1+z) ^{-1/ 2}﹩, where z is the redshift. The indicated errors are the statistical errors in the "pulse" fits provided by the fitting routine, combined with systematic error estimates obtained by comparing the results obtained using the "tail" fitting function. The values obtained by comparing OSSE with BATSE Channel 3 data have been rescaled by the factor ﹩( E^{\mathrm{BATSE}\,\ \mathrm{Ch}\,.\ 3}_{\mathrm{min}\,}-E^{\mathrm{BATSE}\,\ \mathrm{Ch}\,.\ 1}_{\mathrm{max}\,}) / ( E^{\mathrm{OSSE}\,}_{\mathrm{min}\,}-E^{\mathrm{BATSE}\,\ \mathrm{Ch}\,.\ 3}_{\mathrm{max}\,}) ﹩, so as to make them directly comparable with the comparisons of BATSE Channels 1 and 3. The solid line is the best linear fit.