TY - INPR A1 - Re, Daniele A1 - Tosato, Tommaso A1 - Fries, Pascal A1 - Landau, Ayelet N. T1 - Perplexity about periodicity repeats perpetually: A response to Brookshire T2 - bioRxiv N2 - 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. Y1 - 2022 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/73095 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-730951 IS - 2022.09.26.509017 ER -