bioRxiv · 10.1101/2022.09.26.509017
Perplexity about periodicity repeats perpetually: A response to Brookshire
Abstract
Brookshire (2022) claims that previous analyses of periodicity in detection performance after a reset event suffer from extreme false-positive rates. Here we show that this conclusion is based on an incorrect implemention of a null-hypothesis of aperiodicity, and that a correct implementation confirms low false-positive rates. Furthermore, we clarify that the previously used method of shuffling-in-time, and thereby shuffling-in-phase, cleanly implements the null hypothesis of no temporal structure after the reset, and thereby of no phase locking to the reset. Moving from a corresponding phase-locking spectrum to an inference on the periodicity of the underlying process can be accomplished by parameterizing the spectrum. This can separate periodic from non-periodic components, and quantify the strength of periodicity.
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Re, D., Tosato, T., Fries, P., Landau, A. N.. 2022-09-28. Perplexity about periodicity repeats perpetually: A response to Brookshire. https://doi.org/10.1101/2022.09.26.509017
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