Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
The
The
F
F
Statistic
Statistic
Compare the magnitude of
Compare the magnitude of
MS
MS
A
A
to MS
to MS
E
E
F statistic =
F statistic =
E
E
A
A
MS
MS
MS
MS
This is a ratio of
This is a ratio of
variances!
variances!
If this statistic is large, then the between group
If this statistic is large, then the between group
variation is much larger than the within group
variation is much larger than the within group
variation. This is evidence of factor
variation. This is evidence of factor
significance.
significance.
A large amount of the variation in the data
A large amount of the variation in the data
is explained by changing factor levels.
is explained by changing factor levels.