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The primary advantage of using a multiple baseline design across subjects is the ability to demonstrate experimental control without the need for a reversal phase. In this design, the intervention is introduced at different times for each subject, which allows for the observation of changes in behavior that coincide with the introduction of the treatment. This staggered implementation provides evidence that the intervention is effective because each subject shows improvement only when the treatment is applied, ruling out the potential influence of external factors.

This design is particularly useful in situations where a reversal of behavior is not ethical or practical, such as in applied settings where withdrawing an effective treatment could cause harm. By demonstrating changes in behavior with the introduction of the intervention across various subjects, researchers can confidently assert that the treatment is responsible for the observed changes, thereby establishing experimental control.

Improved generalization of results and faster data collection are benefits that can occur in some contexts but are not the primary advantages of this design. Increased complexity in analysis is more of a challenge associated with multiple baseline designs due to the need to analyze each subject's data separately and consider the timing of interventions. Thus, the demonstration of experimental control without reversal stands as the hallmark advantage of this design approach.