Non-parametric detection of temporal order across pairwise measurements of time delays |
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Authors: | Danko Nikolić |
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Institution: | Max-Planck-Institute for Brain Research, Deutschordenstr. 46, D-60528, Frankfurt am Main, Germany. danko@mpih-frankfurt.mpg.de |
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Abstract: | Neuronal synchronization is often associated with small time delays, and these delays can change as a function of stimulus properties. Investigation of time delays can be cumbersome if the activity of a large number of neurons is recorded simultaneously and neuronal synchronization is measured in a pairwise manner (such as the cross-correlation histograms) because the number of pairwise measurements increases quadratically. Here, a non-parametric statistical test is proposed with which one can investigate (i) the consistency of the delays across a large number of pairwise measurements and (ii) the consistency of the changes in the time delays as a function of experimental conditions. The test can be classified as non-parametric because it takes into account only the directions of the delays and thus, does not make assumptions about the distributions and the variances of the measurement errors. |
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Keywords: | Cross correlation Phase offset Temporal-order code Transitivity Additivity |
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