Random Sampling Experiment (RSE)

tn

ssE

2̂

Nested Sampling Experiment (NSE)

Writing the model in SAS notation

determination(sample)

Staggered Nested Sampling Experiments (SNSE)

iiijiitY

tirj

N

i

ijij

,,1 ,,1

tindependenmutually s' ),,0(~ 2

Effects Model

),(~ 2 iit NY

Completely Randomized Design (CRD)

Completely Randomized Factorial Design (CRFD)

Improved power from hidden replication

Ability to estimate interaction effects

Two-level factorial designs

Regression model for two-level factorial

Completely Randomized Fractional Factorial Designs

DAADCAACBAAB

DDCCBBAA

XXXXXX

XXXXy

0

Model

Randomized Complete Block Designs (RCB)

• Increase precision of estimates of treatment differences, and power for detecting differences in treatments

• Broaden the basis for conclusions

(GCB)

(RCBF)

bkrjaiBy ijkikkijiijk 1, 1, 1, )(

Split Plot Model with Completely Randomized Design in the Whole Plots (CRSP)

ijjiijkl BlBly ijklkljljklk

This is called a Split Plot Model with Randomized Block Design in the Whole Plots (RBSP)

run x1 x2

1 -1 -1 2 1 -1 3 -1 1 4 1 1 5 0 0 6 -α 0 7 α 0 8 0 -α 9 0 α

Factorial Portion

Center Points

Axial Portion

Completely Randomized Response Surface Design (CRRS)

CCDBBD