Write down the design matrix


Question: Consider the following experiment:

Run

Condition

Y

1

ab

1

2

b

6

3

ad

2

4

abcd

7

5

bcd

8

6

d

8

7

ac

12

8

c

10

a. Write down the design matrix.

b. What is (are) the design generator(s).

c. What resolution is this design and is this the best design under this situation.

d. List all unestimable factors and the alias structure.

e. Sketch the half-normal plot using any method. Don't comment on it. Give the graph and the table used to produce that graph.

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Basic Statistics: Write down the design matrix
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