The article The Responsiveness of Food Sales to Shelf

Chapter 11, Problem 11.34

(choose chapter or problem)

The article The Responsiveness of Food Sales to Shelf Space Requirements (J. Marketing Research, 1964: 6367) reports the use of a Latin square design to investigate the effect of shelf space on food sales. The experiment was carried out over a 6-week period using six different stores, resulting in the following data on sales of powdered coffee cream (with shelf space index in parentheses): Week 123 1 27 (5) 14 (4) 18 (3) 2 34 (6) 31 (5) 34 (4) 3 39 (2) 67 (6) 31 (5) Store 4 40 (3) 57 (1) 39 (2) 5 15 (4) 15 (3) 11 (1) 6 16 (1) 15 (2) 14 (6) Week 456 1 35 (1) 28 (6) 22 (2) 2 46 (3) 37 (2) 23 (1) 3 49 (4) 38 (1) 48 (3) Store 4 70 (6) 37 (4) 50 (5) 5 9 (2) 18 (5) 17 (6) 6 12 (5) 19 (3) 22 (4) Construct the ANOVA table, and state and test at level .01 the hypothesis that shelf space does not affect sales against the appropriate alternative.