The answer is FALSE. The likelihood of discovering a substantial difference between treatments does not increase with any factor that makes treatments more variable.
In experiments, you create situations where several treatments (such a are used in order to investigate the impact of an independent variation.
Every participant in a between-subjects or between-groups design only experiences one condition, and group differences between participants in various conditions are compared. In contrast, no participant in a within-subjects design is exposed to every condition.
As a result, the likelihood of discovering a substantial difference between treatments is not increased by factors that enhance variation within treatments.
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