Assignment_Solution_Chp_5

Assignment_Solution_Chp_5 - Chapter 5 Solutions 5.2. The...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 5– Solutions 5.2. The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment. Two-way ANOVA: y versus A, B Source DF SS MS F P A 1 ? 0.0002 ? ? B ? 180.378 ? ? ? Interaction 3 8.479 ? ? 0.932 Error 8 158.797 ? Total 15 347.653 (a) Fill in the blanks in the ANOVA table. You can use bounds on the P -values. Two-way ANOVA: y versus A, B Source DF SS MS F P A 1 0.0002 0.0002 0.00001 0.998 B 3 180.378 60.1260 3.02907 0.093 Interaction 3 8.479 2.8263 0.14239 0.932 Error 8 158.797 19.8496 Total 15 347.653 (a) How many levels were used for factor B ? 4 levels. (b) How many replicates of the experiment were performed? 2 replicates. (c) What conclusions would you draw about this experiment? Factor B is moderately significant with a P -value of 0.93. Factor A and the two-factor interaction are not significant. 5.7. Johnson and Leone ( Statistics and Experimental Design in Engineering and the Physical Sciences , Wiley 1977) describe an experiment to investigate the warping of copper plates. The two factors studied were the temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data were as follows: Copper Content (%) Temperature (°C) 40 60 80 100 50 17,20 16,21 24,22 28,27 75 12,9 18,13 17,12 27,31 100 16,12 18,21 25,23 30,23
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
125 21,17 23,21 23,22 29,31 (a) Is there any indication that either factor affects the amount of warping? Is there any interaction between the factors? Use α = 0.05. Both factors, copper content ( A ) and temperature ( B ) affect warping, the interaction does not. Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78 Cor Total 1076.72 31 The Model F-value of 9.52 implies the model is significant.
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/16/2011 for the course STAT 430 taught by Professor Stefansteiner during the Fall '03 term at Waterloo.

Page1 / 8

Assignment_Solution_Chp_5 - Chapter 5 Solutions 5.2. The...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online