Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
To statistically compare the levels
To statistically compare the levels
of a factor to determine if a
of a factor to determine if a
significant change occurs in the
significant change occurs in the
response variable average
response variable average
When several sources of variation
When several sources of variation
are acting on a response variable,
are acting on a response variable,
the overall variance of the
the overall variance of the
observations is the sum of the
observations is the sum of the
variances of the factors.
variances of the factors.
The total variation in the experiment
The total variation in the experiment
can be broken down into variations
can be broken down into variations
due to each input factor, factor
due to each input factor, factor
interactions, and experimental error.
interactions, and experimental error.
Analysis of Variance
Analysis of Variance
ANOVA
ANOVA
Purpose of using ANOVA:
Purpose of using ANOVA:
Example:
Example:
SS
SS
Total
Total
= SS
= SS
A
A
+ SS
+ SS
B
B
+ SS
+ SS
AB
AB
+ SS
+ SS
E
E
SS = Sum of Squares
SS = Sum of Squares
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