## 1 Introduction
Their findings suggest that ITDs are coded non-topographically and the majority of the neurons in each hemisphere are sensitive to ITD. Results of a similar study [23] confirm the effect of biasing perceived laterality toward midline with decreasing intensity of stimulation sound. Regardless of whether its origin is a real source or is an intracranial image (created by dichotically presented acoustic signals), a sound is always associated with a pair of directional ITD and ILD cues. To have a proper assessment of the weights of the ITD and ILD cues in the localization of a sound source each of the cues must be presented separately for the listener and their lateralization performance must be measured. ILD and ITD cues can be changed independently from each other under dichotic hearing conditions. However, this does not provide the opportunity to present one of these cues to the listener on its own and discarding the other cue completely. That is, only a single cue cannot be isolated and studied by ignoring the other. For instance, when a sound is presented with a cue combination of ITD = 0 s and ILD = 6 dB, it does not mean that the sound will carry no ITD information but that the ITD cue will still be pointing the median plane, and it will have a certain effect on the perceived lateralization of the source. The main aim of the present study is to investigate the relative contribution of ITD and ILD cues in sound lateralization and their weight values by the means of complex stimuli consisting of low and high frequencies. For this reason, instead of absolute azimuthal positions, the changes in the azimuth of a sound source are used in the present study. The stimuli are designed as pairs of sounds to create the necessary azimuthal changes. The first sound (reference) of the stimulus pair is made to have the ITD and ILD of a reference azimuth (\(\theta\)). The azimuth of the second sound (probe) differed from the first one, assuming an azimuthal change of \(10^{\circ}\) for both or either of the ITD and ILD cues. This change is made in the following three ways to produce azimuthal shifts toward the midline or the periphery:  
1. TO: Only ITD cue moves from \(\theta\) to either \(\theta-10^{\circ}\) or \(\theta+10^{\circ}\). 2. LO: Only ILD cue moves from \(\theta\) to either \(\theta-10^{\circ}\) or \(\theta+10^{\circ}\). 3. TL: Both ITD and ILD cues move from \(\theta\) to either \(\theta-10^{\circ}\) or \(\theta+10^{\circ}\). Using paired-comparison in psychological experiments has several advantages in the cross-moderation context. Firstly, the securities of the judges are not based on the individuals, rather the relative merit turns out to be important. Secondly, the analysis model handles missing data as the estimate of the scale separation between any two series does not depend on which other scripts they are compared with. Thirdly, fitting an explicit model to the results allows investigating the residuals to detect misfitting series and bias in judgments [24]. Choosing such a method makes it possible to impose either of the ITD and ILD cues independently from each other as is also the case when conventional methods are used to assess the relative roles of these cues in sound lateralization and the trading between them. A study by [PERSON] et al. [25] showed that the psychometric functions, which were used for the auditory discrimination and detection tasks were parallel for single and 18-tone complex stimulation. The weights of the ITD and ILD cues were found to depend on the sound frequency [1,8,26]. To have both the ITD and ILD cues and a complex stimulus rather than a single low or high-frequency pure tone in the present study, the test stimulus sounds are chosen from a combination of low- and high-frequency harmonics of a 261 Hz tone. The harmonics included, as shown in Figure 1, are at the frequencies of 261, 522, 1827, 2349, 2871, 3393, 3915, 4437, and 4959 Hz.