A Latin square design is used to determine the order of treatments that will be used in a within-subjects experiment comparing five treatments labeled A, B, C, D, and E. How many groups of participants will receive treatment E as the first treatment?
A) 0
B) 1
C) 5
D) Cannot answer without more information

Question

Quizplus · Accepted Answer

In a Latin square design, each treatment appears exactly once in each row and each column. Since there are five treatments, each treatment will appear once in each position within the Latin square (i.e. first treatment, second treatment, etc.). Therefore, there will be one group of participants who receive treatment E as the first treatment (and the other treatments in a predetermined order).

A Latin Square Design Is Used to Determine the Order