Moray [J. Acoust. Soc. Amer.47, 660–661; 1071–1073 (1970)] has presented data on the detection of binaural tone increments which he interprets in terms of an attention‐switching model. The data are re‐examined and it is shown that they cannot easily be reconciled with this model. An alternative hypothesis is presented. This assumes that the input to the two ears is processed in parallel, and that different response criteria are applied to the detection of unilateral and bilateral signals. This account appears to give a more satisfactory and more parsimonious account of the data.