Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Inference/Hypothesis
Statistical Inference/Hypothesis
Testing
Testing
Hypothesis Testing:
Hypothesis Testing:
Status quo is always best
Status quo is always
best
until
until
proven otherwise -
proven otherwise -
through
through
experimentation.
experimentation.
Use Hypothesis testing with
Use Hypothesis testing with
Design of Experiments to
Design of Experiments to
determine if a significant
determine if a significant
difference exists between the
difference exists between the
levels of each input factor.
levels of each input factor.
The Null Hypothesis for any DOE
The Null Hypothesis for any DOE
input factor will be:
input factor will be:
The factor has no effect on the response
The factor has no effect on the response
variable
variable
Typically, interested in the mean response
Typically, interested in the mean response
at each level
at each level
of the input factor
of the input factor
The Null Hypothesis refers to
The Null Hypothesis refers to
any Hypothesis which is to be
any Hypothesis which is to be
tested (H
tested (H
0
0
).
).
Provides a basis for a decision to be
Provides a basis for a decision to be
made about what is tested
made about what is tested
Will be tested and either rejected or
Will be tested and either rejected or
not rejected
not rejected