Combines the rhythmicity verdicts of three tests into one call: the cosinor
zero-amplitude F-test (rhythmicity.test), the Lomb-Scargle Baluev
false-alarm probability (circadian.period), and the chi-square
(Sokolove-Bushell) periodogram (chi.sq.periodogram). The three
share one series, so their p-values are pooled by the Cauchy combination, which
is valid under arbitrary dependence, and a majority vote is also reported.
Value
An object of class actiRhythm_consensus: the combined p-value
and consensus call, the vote count, a per-method tests data frame, and
the agreement fraction.
References
Liu Y, Xie J (2020). “Cauchy combination test: a powerful test with analytic p-value calculation under arbitrary dependency structures.” Journal of the American Statistical Association, 115(529), 393–402. doi:10.1080/01621459.2018.1554485 .
Examples
ts <- seq(as.POSIXct("2024-01-01", tz = "UTC"), by = 60, length.out = 3 * 1440)
h <- as.numeric(format(ts, "%H"))
counts <- pmax(0, 100 + 80 * cos(2 * pi * (h - 14) / 24))
consensus.rhythmicity(counts, ts)
#> Consensus Rhythmicity (multi-method)
#>
#> cosinor F-test p=<2e-16 rhythmic
#> Lomb-Scargle FAP p=<2e-16 rhythmic
#> chi-square periodogram p=<2e-16 rhythmic
#>
#> Votes: 3 / 3 methods
#> Combined p: <2e-16
#> Consensus: RHYTHMIC (alpha = 0.05)
