If there is no obvious cause of the asymmetry such as unilateral trauma or unilateral noise exposure like gun blasts, a MRI should be ordered. MRI scans are superior in sensitivity for detecting retrocochlear pathologies such as vestibular schwannoma when compared to ABR testing.
Sources:
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Fortnum H, et al. The role of magnetic resonance imaging in the identification of suspected acoustic neuroma: a systematic review of clinical and cost effectiveness and natural history. Health Technol Assess. 2009 Mar;13(18):iii-iv, ix-xi, 1-154. PMID: 19358774.
Koors PD, et al. ABR in the diagnosis of vestibular schwannomas: a meta-analysis. Am J Otolaryngol. 2013 May-Jun;34(3):195-204. PMID: 23332407.