A methodology to adjust resonance parameters is developed and tested on the lowest-energy resonances of 238U, 240Pu, and 242Pu. It is shown that adjusting the basic nuclear parameters is the only consistent way to adjust infinitely dilute cross sections and to reduce the cross-section deconvolution problem. Taking into account the self-shielding effects enables us to treat different kinds of integral experiments (fast and thermal) and to achieve a statistically consistent adjustment. Also, the standard multigroup cross-section adjustment in the epithermal region can be interpreted as an indication of the required correction of an average reaction rate.