Things to know for the final exam.
Experiments with p factors each at 2 levels.
• Estimated Main Effect
Full Effect: Y high − Y low
Half Effect: Y high − Y
P
or
or
P
(coef ∗mean)
2p−1
(coef ∗mean)
2p
• Prediction Interval
v
u
u
∗u
t
N + k + 1
Ŷ ± t M SrepError 
N


where k is the number of variables in the prediction equation
and t∗ corresponds to the desired level of confidence and degrees
of freedom for Error.
• Combining higher order interactions
N
(Ef f ect)2
4
X
= (SSEf f ect )
SSEf f ect =
SS“Error00
df“Error00 = number of effects in sum.
1