Answer Key for Quiz #2
STAT404
October 28, 2012
Problem 1
Notice that the slopes between 1.0 and 1.5 water level are noticeably dierent. You
should be able to plot this by hand given the numbers in ou
Answer Key to Quiz #3 of STAT404
Problem 1
I = 124 = 235 = 1345
Problem 2
Resolution III. The implication is that the Main eects will be aliased with the 2-factor
interaction eects.
Problem 3
There sh
Answer Key for Quiz #1
STAT404
October 16, 2012
Problem 1
Either
Yij = + i + ij ,
i = 1, . . . , 4; j = 1, . . . , 3
(1)
or
Yij = i + ij ,
i = 1, . . . , 4; j = 1, . . . , 3
(2)
is the overall mean e
1. Solution
(a) solution
The model for this problem would be
Yijk = + i + j + k +
ijk
i, j, k = 1, 2, 3
where, i = the eect of time at level i
j = the eect of temperature at level j
k = the eect of Ac
Appendix D
Contrast Matrices for 23 and 24
Factorials
Tables D.1 and D.2 give contrast matrices for 23 and 24 experiments, respectively.
They are useful for making a plan showing the runs in a blocked
7-12
7.6. EXERCISES
7.6 A chemistry professor wants to run a 24 experiment in treatment factors A, B,
C, and D. Four laboratory technicians are available, and each has time to make
four of the runs. T
1. Solution
In this problem, there are four treatment factors (two-level), four blocks (one block factor with
four levels) and four runs per block.
2. Solution
From table 7.5, the design generators fo