By including a withdrawal phase after the basic time-series design i.e making it an A-B-A design),

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The A-B-A design, by reintroducing the initial condition after the intervention, allows researchers to observe if the behavior or outcomes return to baseline levels. This helps in ruling out history effects (external events that occur during the study) as a plausible rival hypothesis for any changes observed, because if the behavior changes back after withdrawal of the intervention, it suggests the intervention itself, rather than external events, was responsible for the observed changes.

By Including a Withdrawal Phase After the Basic Time-Series Design