A counterbalanced design systematically varies the order in which treatments are administered so that each treatment appears in each position equally often across participants. This procedure helps control for order and carryover effects that could confound the results of repeated-measures experiments. By distributing potential order effects evenly, researchers can attribute observed differences more confidently to the treatments themselves. Because the stem describes using every possible order of treatments equally often, counterbalanced design is the correct answer.
Option A:
Matched-groups designs involve pairing participants on certain characteristics and then assigning members of each pair to different groups, reducing variability between groups but not directly addressing order effects in repeated measures. Thus, matched groups is not the appropriate completion.
Option B:
Counterbalancing ensures that practice, fatigue or other sequence-related influences are not confounded with specific treatments. It is especially valuable when the same participants receive multiple conditions. The stemโs emphasis on controlling order effects by using all possible orders aligns exactly with this strategy, confirming counterbalanced as the right term.
Option C:
Factorial designs study the effects of two or more independent variables simultaneously, examining both main effects and interactions. They concern the structure of independent variables rather than the order of administration in repeated measures. Hence, factorial design is not suitable here.
Option D:
Single-subject designs focus on repeated observations of a small number of participants, often using AB or ABA patterns, and may or may not involve counterbalancing. The term single-subject alone does not capture the systematic variation in treatment order described in the stem. Therefore, single-subject is not the correct answer.
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