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Updated: Jul 14, 2026

How to Calculate and Validate Inter-brain Synchronization in a fNIRS Hyperscanning Study
Published on: September 8, 2021
Exact computations for the coherence estimate
Saralees Nadarajah1, Samuel Kotz
1University of Manchester, Manchester M13 9PL, UK. saralees.nadarajah@manchester.ac.uk
Abstract:
The recent paper by Miranda de Sa et al. [10] developed methods for computing the sampling distribution of the coherence estimate between two signals. However, the methods were based on some approximations because it was claimed that exact calculations required extensive computations. In this technical note, we provide analytical expressions and 1-line programs for the exact computation of various measures of the sampling distribution. Besides being exact, our programs have several advantages over the methods suggested in [10].
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