SIMPLE AND COMPLEX RANDOM ASSIGNMENT IN EXPERIMENTAL DESIGNS

Valentim Rodrigues Alferes, University of Coimbra (Portugal), 2009

 

 

 

STANDARD LATIN SQUARES

 

3 X 3

4 X 4

1

2

3

4

A B C

B C A

C A B

A B C D

B A D C

C D B A

D C A B

A B C D

B C D A

C D A B

D A B C

A B C D

B D A C

C A D B

 D C B A

A B C D

B A D C

C D A B

D C B A

5 X 5

6 X 6

7 X 7

8 X 8

A B C D E

B A E C D

C D A E B

D E B A C

E C D B A

A B C D E F

B F D C A E

C D E F B A

D A F E C B

E C A B F D

F E B A D C

A B C D E F G

B C D E F G A

C D E F G A B

D E F G A B C

E F G A B C D

F G A B C D E

G A B C D E F

A B C D E F G H

B C D E F G H A

C D E F G H A B

D E F G H A B C

E F G H A B C D

F G H A B C D E

G H A B C D E F

H A B C D E F G

9 X 9

10 X 10

A B C D E F G H I

B C D E F G H I A

C D E F G H I A B

D E F G H I A B C

E F G H I A B C D

F G H I A B C D E

G H I A B C D E F

H I A B C D E F G

I A B C D E F G H

A B C D E F G H I J

B C D E F G H I J A

C D E F G H I J A B

D E F G H I J A B C

E F G H I J A B C D

F G H I J A B C D E

G H I J A B C D E F

H I J A B C D E F G

I J A B C D E F G H

J A B C D E F G H I

11 X 11

12 X 12

A B C D E F G H I J K

B C D E F G H I J K A

C D E F G H I J K A B

D E F G H I J K A B C

E F G H I J K A B C D

F G H I J K A B C D E

G H I J K A B C D E F

H I J K A B C D E F G

I J K A B C D E F G H

J K A B C D E F G H I

K A B C D E F G H I J

A B C D E F G H I J K L

B C D E F G H I J K L A

C D E F G H I J K L A B

D E F G H I J K L A B C

E F G H I J K L A B C D

F G H I J K L A B C D E

G H I J K L A B C D E F

H I J K L A B C D E F G

I J K L A B C D E F G H

J K L A B C D E F G H I

K L A B C D E F G H I J

L A B C D E F G H I J K

 

Source:  Cochran, W. G., & Cox, G. M. (1957). Experimental designs (2nd ed.). New York: Wiley.

 

 

 

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