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are ta - A. Three different temperature levels are considered (low= 1, medium = 2, and h are taken to be factor B. The response variable is tensile strength and it is measured ent samples at each experimental configuration. The sums of squares SSA = 160.61 = 58.01, and SSE = 66.71 are obtained. The cell sample averages are X11 = 27.05, X12 X21- = 25.50, X22- = 15.60, X23- = 8.25, X31- = 24.15, X32. = 17.90, X33 = 16.95, X41- = 30.00 43. = 17.65. ruct the analysis of variance table. that there is no evidence of an interaction effect but that there are main effects for S. ruct pairwise confidence intervals to compare the four different graphite-epoxy co lations. What conclusions can you draw? ruct pairwise confidence intervals to compare the three different temperature leve asions can you draw?

are ta - A. Three different temperature levels are considered (low= 1, medium = 2, and h are taken to be factor B. The response variable is tensile strength and it is measured ent samples at each experimental configuration. The sums of squares SSA = 160.61 = 58.01, and SSE = 66.71 are obtained. The cell sample averages are X11 = 27.05, X12 X21- = 25.50, X22- = 15.60, X23- = 8.25, X31- = 24.15, X32. = 17.90, X33 = 16.95, X41- = 30.00 43. = 17.65. ruct the analysis of variance table. that there is no evidence of an interaction effect but that there are main effects for S. ruct pairwise confidence intervals to compare the four different graphite-epoxy co lations. What conclusions can you draw? ruct pairwise confidence intervals to compare the three different temperature leve asions can you draw?

MATLAB: An Introduction with Applications
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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14.1.2A two-factor experiment is conducted to investigate how the tensile strength of a graphite-epoxy composite depends upon the formulation of the composite and the temperature of the composite. Four different composite formulations are considered in the experiment and they are taken to be factor A. Three different temperature levels are considered (low= 1, medium = 2, and high = 3) and they are taken to be factor B. The response variable is tensile strength and it is measured for two different samples at each experimental configuration. The sums of squares SSA = 160.61, SSB = 580.52, SSAB = 58.01, and SSE = 66.71 are obtained. The cell sample averages are X₁1 = 27.05, X12. = 18.80, X13- = 16.40, X21. = 25.50, X22- 15.60, X23. = 8.25, X31- = 24.15, X32. = 17.90, X33 = 16.95, X1 = 30.00, X42. = 23.40, and X43. = 17.65. (a) Construct the analysis of variance table. (b) Show that there is no evidence of an interaction effect but that there are main effects for both factors. (c) Construct pairwise confidence intervals to compare the four different graphite-epoxy composite formulations. What conclusions can you draw? (d) Construct pairwise confidence intervals to compare the three different temperature levels. What conclusions can you draw?
Transcribed Image Text:14.1.2A two-factor experiment is conducted to investigate how the tensile strength of a graphite-epoxy composite depends upon the formulation of the composite and the temperature of the composite. Four different composite formulations are considered in the experiment and they are taken to be factor A. Three different temperature levels are considered (low= 1, medium = 2, and high = 3) and they are taken to be factor B. The response variable is tensile strength and it is measured for two different samples at each experimental configuration. The sums of squares SSA = 160.61, SSB = 580.52, SSAB = 58.01, and SSE = 66.71 are obtained. The cell sample averages are X₁1 = 27.05, X12. = 18.80, X13- = 16.40, X21. = 25.50, X22- 15.60, X23. = 8.25, X31- = 24.15, X32. = 17.90, X33 = 16.95, X1 = 30.00, X42. = 23.40, and X43. = 17.65. (a) Construct the analysis of variance table. (b) Show that there is no evidence of an interaction effect but that there are main effects for both factors. (c) Construct pairwise confidence intervals to compare the four different graphite-epoxy composite formulations. What conclusions can you draw? (d) Construct pairwise confidence intervals to compare the three different temperature levels. What conclusions can you draw?
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