Question

A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. One set has easy mazes and the other has hard mazes. Subjects work until told to stop (after six minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects. (a) Describe the design of a completely randomized experiment to learn the effect of difficulty on estimated time. (Select all that apply.) Each student does the activity twice, once with the easy mazes, the other time with the hard mazes. Randomly decide (for each student) which set of mazes is used first. Compare each student's "easy" and "hard" time estimate. Compare the time estimates of Group 1 with those of Group 2. Randomly assign 15 students to Group 1 (easy mazes) and the other 15 to Group 2 (hard mazes). Compare the time estimates within each group for each type of maze. (b) Describe the design of a matched pairs experiment using the same 30 subjects. (Select all that apply.) Each student does the activity twice, once with the easy mazes, the other time with the hard mazes. Randomly decide (for each student) which set of mazes is used first. Randomly assign 15 students to Group 1 (easy mazes) and the other 15 to Group 2 (hard mazes). Compare the time estimates of Group 1 with those of Group 2. Compare the time estimates within each group for each type of maze. Compare each student's "easy" and "hard" time estimate.

Answer 1

(a) Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.

Compare the time estimates of Group 1 with those of Group 2.

Randomly assign 15 students to Group 1 (easy mazes) and the other 15 to Group 2(hard mazes).

(b) Describe a matched pairs experimental design using the same 30 subjects.

Each student does the activity twice, once with the easy mazes and once with the hard mazes.

Randomly decide (for each student) which set of mazes is used first. Compare each student’s “easy” and “hard” time estimate (e.g., by looking at each “hard” minus “easy” difference).

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