Design of Experiments - US Army Conference on Applied Statistics
Design of Experiments - US Army Conference on Applied Statistics
Design of Experiments - US Army Conference on Applied Statistics
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Stepwise Fit<br />
Resp<strong>on</strong>se: Shrinkage<br />
Stepwise Regressi<strong>on</strong> C<strong>on</strong>trol<br />
Prob to Enter<br />
Prob to Leave<br />
Directi<strong>on</strong>:Forward<br />
0.250<br />
0.100<br />
Rules: Combine<br />
Current Estimates<br />
SSE<br />
133.18753<br />
DFE<br />
10<br />
LockEntered Parameter<br />
Intercept<br />
A<br />
B<br />
C<br />
D<br />
E<br />
F<br />
A*B<br />
A*C<br />
A*D<br />
A*E<br />
A*F<br />
B*C<br />
B*D<br />
B*E<br />
B*F<br />
C*D<br />
C*E<br />
C*F<br />
D*E<br />
D*F<br />
E*F<br />
Step History<br />
Step<br />
1<br />
2<br />
Parameter<br />
A*B<br />
A*D<br />
MSE<br />
13.318753<br />
Acti<strong>on</strong><br />
Entered<br />
Entered<br />
RSquare<br />
0.9800<br />
Estimate<br />
27.3125<br />
6.9375<br />
17.8125<br />
0<br />
-4.441e-16<br />
0<br />
0<br />
5.9375<br />
0<br />
-2.6875<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
0<br />
nDF<br />
1<br />
3<br />
2<br />
1<br />
2<br />
1<br />
1<br />
1<br />
2<br />
1<br />
2<br />
2<br />
2<br />
1<br />
2<br />
2<br />
2<br />
3<br />
3<br />
2<br />
2<br />
3<br />
"Sig Prob"<br />
0.0000<br />
0.0440<br />
RSquare Adj<br />
0.9700<br />
SS<br />
0<br />
1449.688<br />
5640.625<br />
3.16e-30<br />
115.5625<br />
4.21e-30<br />
4.21e-30<br />
564.0625<br />
11.39834<br />
115.5625<br />
26.80068<br />
13.7383<br />
1.58e-29<br />
11.39834<br />
13.7383<br />
26.80068<br />
13.78835<br />
1.933557<br />
31.4007<br />
31.4007<br />
1.933557<br />
2.459758<br />
Seq SS<br />
6410.688<br />
115.5625<br />
"F Ratio"<br />
0.000<br />
36.282<br />
211.755<br />
0.000<br />
4.338<br />
0.000<br />
0.000<br />
42.351<br />
0.374<br />
8.677<br />
1.008<br />
0.460<br />
0.000<br />
0.842<br />
0.460<br />
1.008<br />
0.462<br />
0.034<br />
0.720<br />
1.234<br />
0.059<br />
0.044<br />
RSquare<br />
0.9626<br />
0.9800<br />
Cp<br />
.<br />
AIC<br />
45.90671<br />
"Prob>F"<br />
1.0000<br />
0.0000<br />
0.0000<br />
1.0000<br />
0.0440<br />
1.0000<br />
1.0000<br />
0.0001<br />
0.6992<br />
0.0146<br />
0.4071<br />
0.6470<br />
1.0000<br />
0.3827<br />
0.6470<br />
0.4071<br />
0.6459<br />
0.9907<br />
0.5711<br />
0.3411<br />
0.9432<br />
0.9867<br />
Cp<br />
.<br />
.<br />
p<br />
4<br />
6<br />
Stepwise regressi<strong>on</strong><br />
selects the main<br />
effects <str<strong>on</strong>g>of</str<strong>on</strong>g> A and B,<br />
al<strong>on</strong>g with the AB and<br />
AD interacti<strong>on</strong>s<br />
The main effect <str<strong>on</strong>g>of</str<strong>on</strong>g> D is<br />
added to preserve the<br />
hierarchy in the model<br />
The no-c<strong>on</strong>founding<br />
design correctly<br />
identifies the model<br />
without any ambiguity<br />
and no need for<br />
additi<strong>on</strong>al runs<br />
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