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Table 1 Tips for selecting most appropriate autoregressive (p) and moving average (q) terms from autocorrelation and partial autocorrelation

From: Interrupted time series analysis using autoregressive integrated moving average (ARIMA) models: a guide for evaluating large-scale health interventions

Model type Characteristics of ACF and PACF
ACF PACF
ARIMA(p,d,0) Tails off or is sinusoidal Cuts off lag p
ARIMA(0,d,q) Cuts off lag q Tails off or is sinusoidal
ARMA(p,d,q) Tails off or is sinusoidal Tails off or is sinusoidal