Effects of a Surface Engineered Metallic Coating on Elastomeric Valve Stem Seal Leakage Page: 43
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variance. Therefore, the degrees of freedom, 0, were 12. The sample size for the t-
distribution is given by equation 9 (Diamond 1989):
02
Treated _Nuntreated = 2 a,12 + ,2 2(9)
For a single sided test with the associated values of u, 3, and 4,
ta,12 = t,12 = 1.79. This resulted in t distribution sample sizes of
Ntreated = Nutreated = 6.4. Because the sample size using the t-distribution was > 4, and <
8, the 16xl 6 Hadamard matrix was the correct size to use (Diamond 1989) and the
corresponding sample size for this research was 8.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1 1 1 1
2 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1 1 1
3 1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1 1
4 1 1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1
5 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1 1
6 1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1 1 -1
7 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1 1
8 1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 1
9 1 1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1
10 1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1
11 1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1 -1 1
12 1 1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1 -1
13 1 -1 1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1 -1
14 1 -1 -1 1 -1 -1 1 1 -1 1 -1 1 1 1 1 -1
15 1 -1 -1 -1 1 -1 -1 1 1 -1 1 -1 1 1 1 1
16 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
A B -AB
Figure 9. 16xl 6 Hadamard Matrix (Diamond 1989).43
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Taylor, John Abner. Effects of a Surface Engineered Metallic Coating on Elastomeric Valve Stem Seal Leakage, thesis, December 2000; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc2690/m1/51/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .