Band‐narrowing estimates of the critical bandwidth (CB) are consistently larger than critical‐ratio (CR) estimates for the same signal frequency. Bilger [inHearingandDavis:EssaysHonoringHallowellDavis, edited by S. K. Hirshetal. (Washington U. P., St. Louis, 1976), p. 191] proposed that this difference could be accounted for by reference to intensity‐discrimination performance [CR(Hz)/CB(Hz)=ΔI/I]. To test this hypothesis, band‐narrowing, critical‐ratio, and intensity‐discrimination data were collected for four normally hearing, well‐trained listeners. Signal frequency was 2000 Hz and two noise levels were used: 20 and 50 dBN0. The relations proposed by Bilger among critical‐bandwidth estimates from band‐narrowing experiments, critical‐ratio estimates from pure‐tone detection in wideband noise, and intensity discrimination for a critical‐band‐wide noise in wideband noise are not supported by the results of individual listeners, or results averaged across listeners.