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Page 1: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 2: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 3: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 4: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 5: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 6: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 7: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 8: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Random Sampling Experiment (RSE)

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ssE

Page 9: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Nested Sampling Experiment (NSE)

Page 10: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Writing the model in SAS notation

determination(sample)

Page 11: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Staggered Nested Sampling Experiments (SNSE)

Page 12: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 13: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

iiijiitY

tirj

N

i

ijij

,,1 ,,1

tindependenmutually s' ),,0(~ 2

Effects Model

),(~ 2 iit NY

Completely Randomized Design (CRD)

Page 14: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Completely Randomized Factorial Design (CRFD)

Improved power from hidden replication

Ability to estimate interaction effects

Page 15: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Two-level factorial designs

Page 16: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 17: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Regression model for two-level factorial

Page 18: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Completely Randomized Fractional Factorial Designs

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Model

Page 19: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 20: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

Randomized Complete Block Designs (RCB)

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

• Broaden the basis for conclusions

Page 21: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

(GCB)

(RCBF)

Page 22: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 23: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

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

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

Page 24: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)
Page 25: Random Sampling Experiment (RSE) Nested Sampling Experiment (NSE)

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)

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