10
QuizMultiple Choice

How to Experiment Well — Quiz

Question 10 • Statistics

Which design is the most appropriate for this experiment?

Answer
A
Select a student, and identify the first digit reading from left to right on a random number table. If the first digit is 1 or 2, assign that student to the technique 1 group. Similarly, digits 3 or 4, 5 or 6, 7or 8, and 9 or 0 go with the technique 2, technique 3, technique 4, and control groups, respectively. Repeat this process for each student.
B
Randomly number each person with 1, 2, 3, 4, or 5. Assign the students to the treatment groups based on their label.
C
Number each student from 1 to 75. Reading the numbers from left to right on a random number table, identify 60 unique numbers from 1 to 75. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.
D
Number each student from 00 to 74. Reading the numbers from left to right on a table of random numbers and looking at two digits at a time, identify 60 unique two-digit numbers from 00 to 74. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.

Explanation

Number the 75 students from 00 to 74 so each student has a two-digit label. Read the random-number table two digits at a time, skipping numbers outside that range and repeats, until 60 students are selected; split them into four groups of 15, and put the remaining 15 in the control group. This gives every student an equal chance of being assigned to each group and avoids ambiguity from reading labels of different lengths.

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