Assignment_Solution_Chp_7

Assignment_Solution_Chp_7 - Chapter 7 Solutions 7.1...

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1 Chapter 7– Solutions 7.1 Consider the experiment described in Problem 6.1. Analyze this experiment assuming that each replicate represents a block of a single production shift. Source of Sum of Degrees of Mean Variation Squares Freedom Square F 0 Cutting Speed ( A ) 0.67 1 0.67 <1 Tool Geometry ( B ) 770.67 1 770.67 22.38* Cutting Angle ( C ) 280.17 1 280.17 8.14* AB 16.67 1 16.67 <1 AC 468.17 1 468.17 13.60* BC 48.17 1 48.17 1.40 ABC 28.17 1 28.17 <1 Blocks 0.58 2 0.29 Error 482.08 14 34.43 Total 2095.33 23 Design Expert Output Response: Life in hours ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Block 0.58 2 0.29 Model 1519.67 4 379.92 11.23 0.0001 significant A 0.67 1 0.67 0.020 0.8900 B 770.67 1 770.67 22.78 0.0002 C 280.17 1 280.17 8.28 0.0104 AC 468.17 1 468.17 13.84 0.0017 Residual 575.08 17 33.83 Cor Total 2095.33 23 The Model F-value of 11.23 implies the model is significant. There is only a 0.01% chance that a "Model F-Value" this large could occur due to noise. Values of "Prob > F" less than 0.0500 indicate model terms are significant. In this case B, C, AC are significant model terms. These results agree with the results from Problem 6.1. Tool geometry, cutting angle and the interaction between cutting speed and cutting angle are significant at the 5% level. The model also includes factor
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Assignment_Solution_Chp_7 - Chapter 7 Solutions 7.1...

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