Assume we design a statistical study where 10 participants try 3 chocolate types (A, B,C) in randomized order for 7 days, i.e., each participant tries 3 types of chocolate (A, B,C) in randomized order every day for 7 days. We are interested in testing if the chocolate type impacts taste preference (response variable, on a scale 0-10). Question 1: What type of study design would you recommend for this study? What is/are the factors? What is/are the block(s)? A.) Latin squares design with two factors and one block. Factors are the Chocolate type (3 levels: A, B, C) and Participant (10 levels representing 10 participants) Block is day (7 levels representing weekdays). B.) Two-way ANOVA with two factors. Factors are Chocolate type (3 levels: A, B, C) and Participant (10 levels representing 10 participants). C.) Latin squares design with one factor and two blocks. Factor is the Chocolate type (3 levels: A, B, C). Blocks are Participants (10 levels representing 10 participants) and Day (7levels representing weekdays). D.) Two-way ANOVA with two factors. Factors are Chocolate type (3 levels: A, B, C) and Day (7 levels representing weekdays)
Assume we design a statistical study where 10 participants try 3 chocolate types (A, B,C) in
randomized order for 7 days, i.e., each participant tries 3 types of chocolate (A, B,C) in randomized
order every day for 7 days. We are interested in testing if the chocolate type impacts taste preference
(response variable, on a scale 0-10).
Question 1:
What type of study design would you recommend for this study? What is/are the factors? What is/are the block(s)?
A.) Latin squares design with two factors and one block. Factors are the Chocolate type (3 levels: A, B, C) and Participant (10 levels representing 10 participants) Block is day (7 levels representing weekdays).
B.) Two-way ANOVA with two factors. Factors are Chocolate type (3 levels: A, B, C) and Participant (10 levels representing 10 participants).
C.) Latin squares design with one factor and two blocks. Factor is the Chocolate type (3 levels: A, B, C). Blocks are Participants (10 levels representing 10 participants) and Day (7levels representing weekdays).
D.) Two-way ANOVA with two factors. Factors are Chocolate type (3 levels: A, B, C) and Day (7 levels representing weekdays)
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