1. Consider planning an experiment to determine how the avor duration of gum is aected by the characteristics of the gum such as Factor A (type of gum stick or tablet), Factor B ( avor of gum), and Factor C (regular or sugar-free), see Rogness and Richardson (2003).

(a) If several subjects were recruited to participate in the study and each was asked to chew and record the avor duration (in minutes) of one or more types of gum, what would the experimental unit be?

(b) How could experimental units be blocked to reduce the variance of ex-

perimental error and increase the power for detecting dierences?

(c) Choose at least two of the factors listed above and provide a randomized list for an RCB design.

(d) Recruit subjects and actually perform the experiment within a week.

(e) Analyze your data. Did treatment factors and interactions aect the avor duration? Was the blocking scheme you employed eective at re-

ducing experimental error?