Square Lattice Designs (Balanced and Unbalanced)
/****************************************************************/
/* S A S S A M P L E L I B R A R Y */
/* */
/* NAME: LATSQR */
/* TITLE: Square Lattice Designs (Balanced and Unbalanced) */
/* PRODUCT: STAT */
/* SYSTEM: ALL */
/* KEYS: LATTICE */
/* PROCS: LATTICE */
/* DATA: */
/* */
/* SUPPORT: RAB UPDATE: */
/* REF: COCHRAN, W.G. & COX, G.M.(1957), "EXPERIMENTAL */
/* DESIGNS", 2ND EDITION, NEW YORK: JOHN WILEY & SONS. */
/* MISC: This dataset test the yield of 25 varieties of */
/* soybeans. The response variable is yield in bushels per acre */
/* (minus 30 bu). However, now there is a repition of the */
/* basic plan. This is an example of a 5x5 square unbalanced */
/* lattice design with two orthogonal replications. */
/****************************************************************/
data soy;
input Yield Block Group Treatmnt Rep @@;
datalines;
6 1 1 1 1 7 1 1 2 1 5 1 1 3 1 8 1 1 4 1 6 1 1 5 1
16 2 1 6 1 12 2 1 7 1 12 2 1 8 1 13 2 1 9 1 8 2 1 10 1
17 3 1 11 1 7 3 1 12 1 7 3 1 13 1 9 3 1 14 1 14 3 1 15 1
18 4 1 16 1 16 4 1 17 1 13 4 1 18 1 13 4 1 19 1 14 4 1 20 1
14 5 1 21 1 15 5 1 22 1 11 5 1 23 1 14 5 1 24 1 14 5 1 25 1
24 1 2 1 1 13 1 2 6 1 24 1 2 11 1 11 1 2 16 1 8 1 2 21 1
21 2 2 2 1 11 2 2 7 1 14 2 2 12 1 11 2 2 17 1 23 2 2 22 1
16 3 2 3 1 4 3 2 8 1 12 3 2 13 1 12 3 2 18 1 12 3 2 23 1
17 4 2 4 1 10 4 2 9 1 30 4 2 14 1 9 4 2 19 1 23 4 2 24 1
15 5 2 5 1 15 5 2 10 1 22 5 2 15 1 16 5 2 20 1 19 5 2 25 1
13 1 1 1 2 26 1 1 2 2 9 1 1 3 2 13 1 1 4 2 11 1 1 5 2
15 2 1 6 2 18 2 1 7 2 22 2 1 8 2 11 2 1 9 2 15 2 1 10 2
19 3 1 11 2 10 3 1 12 2 10 3 1 13 2 10 3 1 14 2 16 3 1 15 2
21 4 1 16 2 16 4 1 17 2 17 4 1 18 2 4 4 1 19 2 17 4 1 20 2
15 5 1 21 2 12 5 1 22 2 13 5 1 23 2 20 5 1 24 2 8 5 1 25 2
16 1 2 1 2 7 1 2 6 2 20 1 2 11 2 13 1 2 16 2 21 1 2 21 2
15 2 2 2 2 10 2 2 7 2 11 2 2 12 2 7 2 2 17 2 14 2 2 22 2
7 3 2 3 2 11 3 2 8 2 15 3 2 13 2 15 3 2 18 2 16 3 2 23 2
19 4 2 4 2 14 4 2 9 2 20 4 2 14 2 6 4 2 19 2 16 4 2 24 2
17 5 2 5 2 18 5 2 10 2 20 5 2 15 2 15 5 2 20 2 14 5 2 25 2
;
proc lattice data=soy;
var yield;
run;
