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Chapter 9: Q64E (page 579)

Suppose you conduct a 4 * 3 factorial experiment.

a. How many factors are used in the experiment?

b. Can you determine the factor type(s)—qualitative or quantitative—from the information given? Explain.

c. Can you determine the number of levels used for each factor? Explain.

d. Describe a treatment for this experiment and determine the number of treatments used.

e. What problem is caused by using a single replicate of this experiment? How is the problem solved?

Short Answer

Expert verified

e. The problem with this experiment's single replicate is the degrees of freedom for the error results in zero.

Step by step solution

01

Given Information

There are twelve treatment combinations used in the experiment.

02

Concept

The degrees of freedom for error with r replicate for a, and b factor levels are ab(r-1).

03

Determining the factor levels

e.

When a single replicate is used in the experiment, the error degrees of freedom become zero.

This problem is overcome by using the high order interaction pooling to estimate the error. Also, the normal probability plot for the error is used.

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What are the treatments for a designed experiment that uses one qualitative factor with four levels—A, B, C, and D?

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