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Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
The Alternate Hypothesis for
The Alternate Hypothesis for
the seed type would be:
the seed type would be:
From the Corn Yield Example:
From the Corn Yield Example:
Two levels of the input factor seed
Two levels of the input factor seed
type are to be tested
type are to be tested (Type A, Type B)
(Type A, Type B)
The Null Hypothesis for the
The Null Hypothesis for the
seed type would be:
seed type would be:
HH
HH
oA
oA
: :
: :
Seed Type ASeed Type A
Seed Type ASeed Type A
=
=
Seed Type BSeed Type B
Seed Type BSeed Type B
No Differencein Average Yield Between Type A and Type B
No Differencein Average Yield Between Type A and Type B
in Average Yield Between Type A and Type B
in Average Yield Between Type A and Type B
Difference
Difference
The Purpose of Hypothesis
The Purpose of Hypothesis
Testing is to determine if the
Testing is to determine if the
Null Hypothesis should or
Null Hypothesis should or
shouldn’t be rejected as a
shouldn’t be rejected as a
true statement.Test, etc.)
true statement.
If the Null Hypothesis is
If the Null Hypothesis is
rejected then one of the seed
rejected then one of the seed
types will improve corn yield
types will improve corn yield
(i.e. a significant difference
(i.e. a significant difference
exists between the response
exists between the response
average of the factor levels).
average of the factor levels).
The Null hypothesis is tested
The Null hypothesis is tested
by comparing a calculated
by comparing a calculated
test statistic to a critical value
test statistic to a critical value
found in a table (i.e. t-Test,
found in a table (i.e. t-Test,
2
2
Test, F-Test, etc.)
Test, F-Test, etc.)
In Design of Experiments, the F-
In Design of Experiments, the F-
Test Methodology is used.  If the
Test Methodology is used.  If the
calculated F value for an input
calculated F value for an input
factor is greater than the
factor is greater than the
appropriate critical F value found
appropriate critical F value found
in an F-Table, then the Null
in an F&#45;Table, then the Null
-Table, then the Null
Table, then the Null
Hypothesis for the input factor
Hypothesis for the input factor
would be rejected.
would be rejected.