Designs

Linear Statistical Models

Designs

Can you identify each of the following designs from their schematic?

Design A

A

a1 a2 a3 a4

s 1
...
s 8 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8

Design B

A

a1 a2 a3 a4

s 1
...
s 8 s 9
...
s16 s17
...
s24 s25
...
s32

Design C

A

a1 a2 a3 a4

B b1 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8

b2 s 9
...
s16 s 9
...
s16 s 9
...
s16 s 9
...
s16

Design D

a1 a2
b1 c1 s1
b1 c2 s2
b2 c3 s3
b2 c4 s4
b3 c5 s5
b3 c6 s6
b4 c7 s7
b4 c8 s8

Design E

A

a1 a2 a3 a4

B b1 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8

b2 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8 s 1
...
s 8

Design F

a1
c1 a1
c2 a2
c1 a2
c2
b1 s1 s3
b2 s2 s4
b3 s5 s7
b4 s6 s8

Design G

A

a1 a2 a3 a4

B b1 s 1
...
s 8 s 9
...
s16 s17
...
s24 s25
...
s32

b2 s33
...
s40 s41
...
s48 s49
...
s56 s57
...
s64

Design H

a1 a2
b1 c1 s1
b1 c2 s2
b2 c1 s3
b2 c2 s4
b3 c3 s5
b3 c4 s6
b4 c3 s7
b4 c4 s8

Design I

A

a1 a2 a3 a4

C c1 B b1 s 1
...
s 4 s 5
...
s 8 s 9
...
s12 s13
...
s16

b2 s17
...
s20 s21
...
s24 s25
...
s28 s29
...
s32

c2 B b1 s33
...
s36 s37
...
s40 s41
...
s44 s45
...
s48

b2 s49
...
s52 s53
...
s56 s57
...
s60 s61
...
s64

****

Linear Statistical Models Course

Phil Ender, 12Feb98

		A
		a1	a2	a3	a4
B	b1	s 1 ... s 8	s 1 ... s 8	s 1 ... s 8	s 1 ... s 8
B	b2	s 9 ... s16	s 9 ... s16	s 9 ... s16	s 9 ... s16

	a1	a2
b1 c1	s1
b1 c2	s2
b2 c3	s3
b2 c4	s4
b3 c5		s5
b3 c6		s6
b4 c7		s7
b4 c8		s8

		A
		a1	a2	a3	a4
B	b1	s 1 ... s 8	s 9 ... s16	s17 ... s24	s25 ... s32
B	b2	s33 ... s40	s41 ... s48	s49 ... s56	s57 ... s64

	a1	a2
b1 c1	s1
b1 c2	s2
b2 c1	s3
b2 c2	s4
b3 c3		s5
b3 c4		s6
b4 c3		s7
b4 c4		s8

				A
				a1	a2	a3	a4
C	c1	B	b1	s 1 ... s 4	s 5 ... s 8	s 9 ... s12	s13 ... s16
	c1	B	b2	s17 ... s20	s21 ... s24	s25 ... s28	s29 ... s32
	c2	B	b1	s33 ... s36	s37 ... s40	s41 ... s44	s45 ... s48
	c2	B	b2	s49 ... s52	s53 ... s56	s57 ... s60	s61 ... s64