The goal of an experiment is to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, we want to determine whether the effect of directional aid (wall signs or map) on travel time depends on starting room location (interior or exterior). Three visitors were assigned to each of the combinations of directional aid and starting room location, and the travel times of each (in seconds) to reach the goal destination room were recorded.
Explain how to properly analyze these data.
◦ Chi-square test for a 2 x 2 factorial design
◦ ANOVA
F-test for a completely randomized design with four treatments
◦ ANOVA
F-test for interaction in a 2 x 2 factorial design with 3 replications
◦ ANOVA
F-test for a randomized block design with two treatments
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