Question

The marketing manager of a company producing a new cereal aimed for children wants to examine the effect of the color and shape of the box's logo on the approval rating of the cereal. He combined 3 colors and 2 shapes to produce a total of 6 designs. Each logo was presented to 3 different groups (a total of 18 groups) and the approval rating for each was recorded and is shown below. The manager analyzed these data using the α = 0.05 level of significance for all inferences, and a partially completed 2-way ANOVA table is also provided below. COLORS Red Green Blue 54 67 36 Circle 44 61 40 SHAPES 49 64 44 34 56 36 Square 36 57 33 35 58 30 Analysis of Variance Source df SS MS F Shapes 392.00 Colors 1897.00 Interaction 49.00 Error Total 2460.00

How many treatment combinations are there in the experiment and how many replicates for each treatment combination?

Answer 1

Answer:

To give the number of treatment combinations in the experiment and replicates for each treatment combination

Here number of treatment shapes = 2

Number of treatment colors = 3

So now the number of treatment combination = Treatment shapes*treatment colors

= 2*3

= 6

Treatment combination = 6

And the number of replicate for each treatment combination = 3