Linear Statistical Models

Sample Quiz #5

Consider this split-plot factorial design

		b1	b2	b3
a1	s1	a	b	c
	s2	d	e	f
a2	s3	g	h	i
	s4	j	k	l

1. Use orthogonal coding to code this design. Indicate which columns are for which effects. Hint: More columns are provided than are needed.

    A  S|A1 S|A2 ---B---  --A*B--
   x1  x2   x3   x4   x5  x6   x7  x8  x9  x10
   
a   1   1   0     1    1   1    1

b   1   1   0    -1    1  -1    1

c   1   1   0     0   -2   0   -2

d   1  -1   0     1    1   1    1

e   1  -1   0    -1    1  -1    1

f   1  -1   0     0   -2   0   -2

g  -1   0   1     1    1  -1   -1

h  -1   0   1    -1    1   1   -1

i  -1   0   1     0   -2   0    2

j  -1   0  -1     1    1  -1   -1

k  -1   0  -1    -1    1   1   -1

l  -1   0  -1     0   -2   0    2

Linear Statistical Models Course