The article "Variance Reduction Techniques: Experimental Comparison and Analysis for Single Systems" (I. Sabuncuoglu, M. Fadiloglu, and S. Çelik, IIE Transactions, 2008:538- 551) describes a study of methods for reducing variance in estimators of the mean inventory on hand. Two systems, the serial line system and the inventory system, were studied, along with two schemes for proportional sampling. The results given below (in percent) are consistent with the means and standard deviations reported in the article. System Serial Scheme Reduction A 6.4 5.8 5.1 8.4 7.0 8.4 8.5 7.5 7.0 7.9 Line Serial 4.7 4.7 3.8 5.3 10.6 4.5 8.2 10.8 5.1 5.7 Line Inventory Inventory A. 11.0 8.9 9.3 9.2 7.9 9.7 9.0 12.5 6.7 9.8 8.9 7.0 10.7 10.3 6.2 12.2 7.0 9.5 8.7 9.7 a. Estimate all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. d. Can the effect of system on reduction be described by interpreting the main effects of system? If so, interpret the main effects, including the appropriate test statistic and P- value. If not, explain why not. Can the effect of scheme on reduction be described by interpreting the main effects of scheme? If so, interpret the main effects, including the appropriate test statistic and P- value. If not, explain why not. C. e.
The article "Variance Reduction Techniques: Experimental Comparison and Analysis for Single Systems" (I. Sabuncuoglu, M. Fadiloglu, and S. Çelik, IIE Transactions, 2008:538- 551) describes a study of methods for reducing variance in estimators of the mean inventory on hand. Two systems, the serial line system and the inventory system, were studied, along with two schemes for proportional sampling. The results given below (in percent) are consistent with the means and standard deviations reported in the article. System Serial Scheme Reduction A 6.4 5.8 5.1 8.4 7.0 8.4 8.5 7.5 7.0 7.9 Line Serial 4.7 4.7 3.8 5.3 10.6 4.5 8.2 10.8 5.1 5.7 Line Inventory Inventory A. 11.0 8.9 9.3 9.2 7.9 9.7 9.0 12.5 6.7 9.8 8.9 7.0 10.7 10.3 6.2 12.2 7.0 9.5 8.7 9.7 a. Estimate all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. d. Can the effect of system on reduction be described by interpreting the main effects of system? If so, interpret the main effects, including the appropriate test statistic and P- value. If not, explain why not. Can the effect of scheme on reduction be described by interpreting the main effects of scheme? If so, interpret the main effects, including the appropriate test statistic and P- value. If not, explain why not. C. e.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The article "Variance Reduction Techniques: Experimental Comparison and Analysis for
Single Systems" (I. Sabuncuoglu, M. Fadiloglu, and S. Çelik, IIE Transactions, 2008:538-
551) describes a study of methods for reducing variance in estimators of the mean inventory
on hand. Two systems, the serial line system and the inventory system, were studied, along
with two schemes for proportional sampling. The results given below (in percent) are
consistent with the means and standard deviations reported in the article.
System
Serial
Scheme
Reduction
A
6.4 5.8 5.1 8.4 7.0 8.4 8.5 7.5 7.0 7.9
Line
Serial
4.7 4.7 3.8 5.3 10.6 4.5 8.2 10.8 5.1 5.7
Line
Inventory
Inventory
A.
11.0 8.9 9.3 9.2 7.9 9.7 9.0 12.5 6.7 9.8
8.9 7.0 10.7 10.3 6.2 12.2 7.0 9.5 8.7 9.7
a.
Estimate all main effects and interactions.
b. Construct an ANOVA table. You may give ranges for the P-values.
Is the additive model plausible? Provide the value of a test statistic and the P-value.
d. Can the effect of system on reduction be described by interpreting the main effects of
system? If so, interpret the main effects, including the appropriate test statistic and P-
value. If not, explain why not.
Can the effect of scheme on reduction be described by interpreting the main effects of
scheme? If so, interpret the main effects, including the appropriate test statistic and P-
value. If not, explain why not.
C.
e.
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