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Unformatted text preview: Simplex Lattice Designs {qsm} m+1 equally spaced mines frnm {1 t0 1
Xi = Elm1, 2!:11, . . ., I {3, 2} $133233}
[1, 0, 0) (ﬂ, 1, U} {0, 0,1)
(1:2, 1:2, 0) (1x2, 0, 1m) {0, 1m, 1:2} {3: 3} (XI: 32. Es)
(1, u, 0) (11,1, 0) (o, a, 1)
[25, M3, {1} ms, 0, U3) (1:3, 25, 0} {15,1}, 23}
(1:3, 1:3, 1:3) (0, 2:3, 1:3) (0, 1:3, 2:3) Number 0f daign points in {q, 111} shaneKIatﬁce
N= 131+ [11 1)H{m!{qI)1) CORNELL: Page 32 Section 2.6: WEE GOWON'ENT SIMPLEX Three canstituents = pﬁljrethj'ieﬂe (XI), palysryrene (X2), and
peiypropytene 133% were blended tagether and the resulting
ﬁber spun to farm yer—n fur draperies. Only pure intends and
binary blends are stuﬂied in this exﬁmgle. The respnnse at
interest is the thread elengatien of the yarn, measured in
Magiems: af farce applied. hi: Response in pure mixture hij: Measure of nonlinear blending
hijk: Allow fer asymmetry
NOTE: large saiues cf the quadratic and cubic ccefficients tic not mean there are large effects. This is because the scaling
cf the 335 is frern i} ta 1. Term Max. cf Variable Max. Effect
biXi xi = 1 '  1 hi
tiinin Xin=Elﬂjl£1f23I 1M hij hiijinXk $3ij = {NEHUSHHS} MET hijk T‘WD Component Mixture Response Functions Yarn Elongation Y = 11.1731 + 9.4112 +16.4X3
e 19.0X1X2 + 11.431X3  9.6X2X3
“'52: kt] ._ :._ be e 111 * b2
IComponent 3 is best single ingredient, followed by component i and then component 2. 1:12 e D 1113 =' *1
The binary blends of components 1 and 2, and components 1
and 3, have binary synergistic effects. The elongation of
these blends is greater than would he expected by simply' averaging the elongation 1[values of the pure components. 1 1133 '1 [l
A blend of components 2 and 3 produced yarn whose elongation is lower than the average of the pure components. 'h' r 4:"wa a ct... J gm; .W _ ...
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 Spring '08
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 component video, component, SIMPLEX LATTICE DESIGNS, tiinin Xin=Elﬂjl£1f23I 1M, WEE GOWON'ENT SIMPLEX

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