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

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

Quizplus · Accepted Answer

In a Latin square design, each treatment appears once in each row and each column. Therefore, each treatment will be the first treatment once and will be in each position of the sequence (first, second, third, etc.) once. Since there are five treatments, each treatment will appear first in one-fifth of the sequences. Therefore, the number of groups of participants that will receive treatment E as the first treatment is 1 (out of 5 possible groups).

A Latin Square Design Is Used to Determine the Order