Does variation in plate length have any effect on true average axial stiffness? Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
Does variation in plate length have any effect on true average axial stiffness? Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
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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Transcribed Image Text:Question 2: A study of the properties of metal plate-connected trusses used for roof support yielded 35 observations on
axial-stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 inches. Use the given output from an analysis of variance
with a = 0.01 to answer (a) and(b). Let 'pl.4' denote a plate length of 4 inches, similarly for the other lengths.
Df Sum Sq Mean Sq F value Pr (>F)
4 43993 10998 10.48 1.96e-05 ***
1049
0 ***' 0.001 '**' 0.01 0.05 '.' 0.1 '
group
Residuals 30 31475
Signif. codes:
(a)
(b)
Tukey multiple comparisons of means
99% family-wise confidence level
Fit: aov (formula
p adj
$group
diff
1wr
upr
pl.12-pl.10 29.814286 -31.98149 91.610065 0.4363237
pl.4-pl.10 -74.142857 -135.93864 -12.347078 0.0015294
pl. 6-pl.10 -39.300000 -101.09578 22.495779 0.1827394
pl. 8-pl.10 -32.228571 -94.02435 29.567208 0.3591363
pl.4-pl.12 -103.957143 -165.75292 -42.161364 0.0000130
pl.6-pl.12
pl. 8-pl.12
pl.6-p1.4
pl.8-pl.4
1 pl. 8-pl.6
-69.114286 -130.91006 -7.318507 0.0033328
-62.042857 -123.83864 -0.247078 0.0096439
34.842857 -26.95292 96.638636 0.2846960
41.914286 -19.88149 103.710065 0.1373852
7.071429 -54.72435 68.867208 0.9938376
=
plate_length group, data
data)
Does variation in plate length have any effect on true average axial stiffness?
Identify which means (if any) are significantly different with a simultaneous confidence level 99%.
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