In the first two articles of this series, reproducible noises with a fixed value of interaural coherence ͑0.992͒ were used to study the human ability to detect interaural incoherence. It was found that incoherence detection is strongly correlated with fluctuations in interaural differences, especially for narrow noise bandwidths, but it remained unclear what function of the fluctuations best agrees with detection data. In the present article, ten different binaural models were tested against

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... ection data for 14-and 108-Hz bandwidths. These models included different types of binaural processing: independent-interaural-phase-difference/interaural-level-difference, lateral-position, and short-term cross-correlation. Several preprocessing transformations of the interaural differences were incorporated: compression of binaural cues, temporal averaging, and envelope weighting. For the 14-Hz bandwidth data, the most successful model postulated that incoherence is detected via fluctuations of interaural phase and interaural level processed by independent centers. That model correlated with detectability at r = 0.87. That model proved to be more successful than short-term cross-correlation models incorporating standard physiologically-based model features ͑r = 0.78͒. For the 108-Hz bandwidth data, detection performance varied much less among different waveforms, and the data were less able to distinguish between models.