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Statistical Experimental Design and Analysis<br />

Example of Analysis Results<br />

DEX Mean Table<br />

--------------<br />

Response Y : OSCFREQ<br />

==> Horizontal axis: the mean response for a given setting (- or +)<br />

of a factor, for each of the 34 factors.<br />

Vertical axis: the 34 factors and the two settings (- and +)<br />

within each factor.<br />

Value at nominal point : 4.8667e+07<br />

Mean Value<br />

: 4.8667e+07<br />

Factor Name Sign of Magnitude<br />

effect (percent / exact / cumulative)<br />

N4 M(SBSIMP,MUS) [+] 13.0% 3.6552e+06 13.0%<br />

N27 M(SBSIMN,U1) [-] 12.8% 3.6022e+06 25.8%<br />

N21 M(SBSIMN,MUS) [+] 11.6% 3.2592e+06 37.3%<br />

N32 M(SBSIMN,K1) [-] 9.9% 2.7839e+06 47.2%<br />

N15 M(SBSIMP,K1) [-] 7.8% 2.1921e+06 55.0%<br />

N10 M(SBSIMP,U1) [-] 7.5% 2.1091e+06 62.5%<br />

N17 M(SBSIMP,VFB) [-] 6.0% 1.6999e+06 68.5%<br />

N34 M(SBSIMN,VFB) [-] 5.8% 1.6240e+06 74.3%<br />

N18 M(SBSIMN,X3U1) [+] 3.1% 8.7887e+05 77.4%<br />

N11 M(SBSIMP,U0) [-] 2.8% 7.8008e+05 80.2%<br />

...<br />

N23 M(SBSIMN,X2U0) [-] 0.0% 1.5643e+03 100.0%<br />

N9 M(SBSIMP,X2MZ) [-] 0.0% 7.2275e+02 100.0%<br />

The last column gives the following information: almost 70% of the response’s variability is<br />

explained with the variations of the eight factors M(SBSIM*,MUS), M(SBSIM*,U1),<br />

M(SBSIM*,K1) and M(SBSIM*,VFB) where the ‘*’ character means ‘P’ positive or ‘N” for<br />

negative.<br />

Formal Test of Significance<br />

A formal test of significance is based on the Lenth’s method. This method is usually employed<br />

for unreplicated experiments, where there are no replicated runs and no dispersion modeling is<br />

investigated.<br />

A detailed description of this algorithm can be found in [1].<br />

This quantitative analysis is given as follows:<br />

584<br />

Eldo® User's Manual, 15.3

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