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. 2018 Aug 13;146(14):1824–1833. doi: 10.1017/S0950268818002182

Table 1.

Description of equations used in estimating the peak timing

Description Equation
Phase shift, Ψ as a distance of peak from beginning of time series in radians
graphic file with name S0950268818002182_eqn5.jpg 5
Variance of phase shift, Var(Ψ)
graphic file with name S0950268818002182_eqn6.jpg 6
Confidence interval of phase shift in radians
graphic file with name S0950268818002182_eqn7.jpg 7
Peak timing in months, where M is the length of one cycle
graphic file with name S0950268818002182_eqnU1.jpg
graphic file with name S0950268818002182_eqn8.jpg 8
graphic file with name S0950268818002182_eqnU2.jpg
Confidence interval for peak timing in months Substitute equation 7 for Ψ in equation 8