mont4e_sm_ch13_supplemental

# mont4e_sm_ch13_supplemental - c) Analysis of Variance for...

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Supplemental Exercises 13-38 a) Analysis of Variance for SURFACE ROUGNESS Analysis of Variance for y Source DF SS MS F P Material 3 0.2402 0.0801 4.96 0.020 Error 11 0.1775 0.0161 Total 14 0.4177 Reject H 0 b) One observation is an outlier. 1234 -0.2 -0.1 0.0 0.1 0.2 0.3 Material Residual Residuals Versus Material (response is Surf Rou) 13-31

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-0.2 -0.1 0.0 0.1 0.2 0.3 -2 -1 0 1 2 Normal Score Residual Normal Probability Plot of the Residuals (response is Surf Rou) c) There appears to be a problem with constant variance. This may be due to the outlier in the data. 0.1 0.2 0.3 0.4 0.5 -0.2 -0.1 0.0 0.1 0.2 0.3 Fitted Value Residual Residuals Versus the Fitted Values (response is Surf Rou) d) 95% confidence interval on the difference in the means of EC10 and EC1 602 . 0 118 . 0 2 ) 0161 . 0 ( 4 ) 0161 . 0 ( 201 . 2 ) 130 . 0 490 . 0 ( 2 ) 0161 . 0 ( 4 ) 0161 . 0 ( 201 . 2 ) 130 . 0 490 . 0 ( 4 1 4 1 2 1 11 , , 025 . 0 4 1 3 1 2 1 11 , , 025 . 0 4 1 + + + + + + μμ n MS n MS t y y n MS n MS t y y E E E E 13-39. a) Analysis of Variance for RESISTANCE Source DF SS MS F P ALLOY 2 10941.8 5470.9 76.09 0.000 Error 27 1941.4 71.9 Total 29 12883.2 Reject H 0 , the type of alloy has a significant effect on mean contact resistance. 13-32
b) Fisher's pairwise comparisons Family error rate = 0.119 Individual error rate = 0.0500 Critical value = 2.052 Intervals for (column level mean) - (row level mean) 1 2 2 -13.58 1.98 3 -50.88 -45.08 -35.32 -29.52 There are differences in the mean resistance for alloy types 1 and 3; and types 2 and 3. c) 99% confidence interval on the mean contact resistance for alloy 3 83 . 147 97 . 132 10 9 . 71 771 . 2 4 . 140 10 9 . 71 771 . 2 4 . 140 1 3 27 , 005 . 0 3 27 , 005 . 0 3 + + μ n MS t y n MS t y E i E d) Variability of the residuals increases with the response. The normal probability plot has some curvature in the tails, indicating a problem with the normality assumption. A transformation of the response should be conducted.

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## This note was uploaded on 10/12/2009 for the course IND E 315 taught by Professor Kailashkapur during the Spring '09 term at University of Washington.

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mont4e_sm_ch13_supplemental - c) Analysis of Variance for...

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