Experimental Designs — Quiz

Question 3 • Statistics and Probability

Which of the following describes a randomized block design for this experiment?

Answer

There are six vehicles of each vehicle type: sedan, SUV, minivan, and truck. Each vehicle type is numbered 1–4, and these numbers are entered into a random number generator. The first two unique numbers selected will represent the group of vehicles that will receive tires with the new type of tread. The remaining 2 groups will receive tires with the original tread.

Each vehicle is numbered 1–24, and these numbers are put into a random number generator. The first 12 unique numbers represent the vehicles that will receive the tires with the new tread. The remaining 12 vehicles will receive the tires with the original tread.

There are six vehicles of each vehicle type: sedan, SUV, minivan, and truck. For each type, three vehicles will be randomly selected to receive tires with the new tread and the other three vehicles will receive tires with the original tread.

The vehicles will be put in groups of two based on the size of the vehicle, with the largest two put together, the next largest two, etc. For each of the 12 pairs, the largest vehicle will get tires with the original type of tread and the other vehicle in the pair will get the new type of tread.

Explanation

A randomized block design first groups similar experimental units into blocks, then randomly assigns treatments within each block. Here, vehicle type (sedan, SUV, minivan, or truck) is the blocking factor, and within each type three vehicles are randomly assigned the new tread while three receive the original tread. Thus, choice B describes the design.

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