The article The Responsiveness of Food Sales to Shelf Space Requirements (J. Marketing Research, 1964: 6367) reports
Question:
The article “The Responsiveness of Food Sales to Shelf Space Requirements” (J. Marketing Research, 1964:
63–67) 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):
g gxij(k) 2 5 297,317.65 gx# #
k gx 2 5297,155.01, #j# gx 2 5297,200.64, i 2
# #5 297,216.90, treatments x# # # 5 3815.8, A 5 castings B 5 segements, C 5 heat N 5 7 SSE 5 8655.60 SSAC 51442.58, SSBC 5 3096.21, SSABC 5 2832.72, SSB 5 9656.40, SSC 5 2270.22, SSAB 5 3408.93, SSA 5 14,318.24, L 5 2 H0 H0: gij : a1 5 c5 aI 5 0 AB 5 0 H0: sABC 2 5 0; H0: sC 2 5 0;
E(MSABC) 5 s2 1 s2 ABC E(MSBC) 5 s2 1 ILsBC 2
E(MSAC) 5 s2 1 JLsAC 2
1 KL
(I 2 1)(J 2 1) g i
g j
(gi j AB)2 E(MSAB) 5 s2 1 LsABC 2
E(MSC) 5 s2 1 IJLsC 2
E(MSB) 5 s2 1 ILsBC 2 1 IKL J 2 1 gbj 2
E(MSA) 5 s2 1 JLsAC 2 1 JKL I 2 1 gai 2
E(MSE) 5 s Construct the ANOVA table, and state and test at level .01 the hypothesis that shelf space does not affect sales against the appropriate alternative.
Step by Step Answer:
Probability And Statistics For Engineering And The Sciences
ISBN: 9781133169345
8th Edition
Authors: Jay L Devore, Roger Ellsbury