Further computations on the binaural vector model have been carried out [H. Levitt and E. A. Lundry, J. Acoust. Soc. Am. 39, 1232(A) (1966), and references cited therein]. The cumulative probability distribution of the phase angle between the left- and right-ear resultant vectors has been computed for the case where either the noise or the signal has been subjected to an interaural time difference. It is assumed that interaural time difference is the relevant variable for binaural signal detection under these conditions. Based on this assumption, the resolution required of the binaural system for consistency with available binaural masking-level difference (BMLD) data has been computed. An interpretation of the results in terms of short-term crosscorrelation is presented.