Estimating Experimental Errors

Notation

i
denote experiment number (i.e., 1,2,3,4)

j
denote replication (i.e., 1,2,3)

y_{ij}
observed response value in j-th replication of i-th experiment

yhat_i
estimated response using our model equation when factors have levels corresponding to experiment i

ybar_{..}
mean of responses from all replications of all experiments

ybar_{i.}
mean of responses from all replications of experiment i


Definition of Error

Experimental error e_{ij}: difference between measured and estimated responses for jth replication of ith experiment:



Sign Table Augmented by Errors