35 marks 3. Cereal Tasting: A ood processing company is interested in comparing

Question

35 marks 3. Cereal Tasting: A ood processing company is interested in comparing the taste of siz new brands (A, B, C, D, E and F of cereal. Subjects will be asked to taste cereals and score them on a scale of 0-100, where higher scores indicate better taste. a) What is the factor of interest? List the factor levels b) Identify what you would use as the block (using the information given above). Justify your choice. c) What type of design would you suggest if we had 10 subjects and each subject could taste each cereal? Justify. d) Draw the incidence matrix for the design above from part c). Be sure to label clearly the rows and columns to indicate what you are showing.

Explanation / Answer

a)The factor of interest is the six different type of cereals.It has six label namely-A,B,C,D,E

b)A block will be created based on taste ofr 6 different cereal ,considering a single row as one block.

c)The type of sesign will be a randmoised block design where each 10 subject can taste randomly 6 different cereal.Thus randmoised block design would be the best way to measure the effect.

d)Incident matrix design

Type of brand->A Subjects-->1 2 3 4 5 6 7 8 9 10 B C D E F

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