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Statistical Design of Experiments
Statistical Design of Experiments
Inner Arrays & Outer Arrays
Inner Arrays & Outer Arrays
Factors are generally divided into at least
Factors are generally divided into at least
two basic types:
two basic types:
Control factors are the factors which are
Control factors are the factors which are
to be optimized to attain the experimental
to be optimized to attain the experimental
goal.The optimum choice of control factor
goal.The optimum choice of control factor
Noise factors represent the
Noise factors represent the
uncontrollable elements of the system. 
uncontrollable elements of the system. 
The optimum choice of control factor
levels should be robust over the noise
levels should be robust over the noise
factor levels.
factor levels.
Control and noise factors are usually handled
Control and noise factors are usually handled
differently in setting up an experiment. 
differently in setting up an experiment. 
Control factors are entered into an
Control factors are entered into an
orthogonal array called an inner array.  The
orthogonal array called an inner array.  The
noise factors are entered into a separate
noise factors are entered into a separate
array called an outer array.  These arrays are
array called an outer array.  These arrays are
so related that every testing set-up in the
so related that every testing set-up in the
inner array is evaluated across every noise
inner array is evaluated across every noise
set-up in the outer array.
set-up in the outer array.
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