Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.3, Problem 15E
The article “T-Bracing for Stability of Compression Webs in Wood Trusses” (R. Leichti, I. Hofaker, et al., Journal of Structural Engineering, 2002:374–381) presents results of experiments in which critical buckling loads (in kN) for T-braced assemblies were estimated by a finite-element method. The following table presents data in which the factors are the length of the side member and its method of attachment. There were 10 replications for each combination of factors. The data are consistent with the means and standard deviations given in the article.
| Attachment | Length | Critical Buckling Load | |||||||||
| Adhesive | Quarter | 7.90 | 8.71 | 7.72 | 8.88 | 8.55 | 6.95 | 7.07 | 7.59 | 7.77 | 7.86 |
| Adhesive | Half | 14.07 | 13.82 | 14.77 | 13.39 | 11.98 | 12.72 | 9.48 | 13.59 | 13.09 | 12.09 |
| Adhesive | Full | 26.80 : | 28.57 | 24.82 | 23.51 | 27.57 | 25.96 | 24.28 | 25.68 | 21.64 | 28.16 |
| Nail | Quarter | 6.92 | 5.38 | 5.38 | 5.89 | 6.07 | 6.37 | 7.14 | 6.71 | 4.36 | 6.78 |
| Nail | Half | 9.67 | 9.17 | 10.39 | 10.90 | 10.06 | 9.86 | 10.41 | 10.24 | 9.31 | 11.99 |
| Nail | Full | 20.63 | 21.15 | 24.75 | 20.76 | 21.64 | 21.47 | 25.25 | 22.52 | 20.45 | 20.38 |
- a. Compute all main effects and interactions.
- b. Construct an ANOVA table. You may give
ranges for the P values. - c. Is the additive model plausible? Provide the value of a test statistic and the P-value.
- d. Can the effect of attachment method (nail versus adhesive) on the critical buckling load be described by interpreting the main effects of attachment method? If so, interpret the main effects. If not, explain why not.
- e. Can the effect of side member length on the critical buckling load be described by interpreting the main effects of side member length? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not.
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The purpose of a study was to determine the effectiveness of segmental wire fixation in athletes with spondylolysis. Between 1993 and 2000, 20 athletes (6 women and 14 men) with lumbar spondylolysis were treated surgically with the technique. The following table gives the Japanese Orthopaedic Association (JOA) evaluation score for lower back pain syndrome for men and women prior to the surgery. The lower score indicates less pain. Assume that the two populations of pain scores are normally distributed with equal variances.
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