Wuchap_03b_09fall

# Wuchap_03b_09fall - Example of Split-plot Design Wood...

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Unformatted text preview: Example of Split-plot Design: Wood Experiment • Experiment objective : to study the water resistant property of wood. • Two factors: A—wood pretreatment, 2-level; B—type of stain, 4-level. • Completely randomized design: randomly apply the 8 combinations of A and B to 8 wood panels, such as in Table 21. • Problem: inconvenient to apply the pretreatment to a small wood panel. Table 21: Completely Randomized Version of the Wood Experiment Run 1 2 3 4 5 6 7 8 Pretreatment ( A ) A 1 A 2 A 2 A 1 A 2 A 1 A 1 A 2 Stain ( B ) B 2 B 4 B 1 B 1 B 3 B 4 B 3 B 2 39 Split-plot Design • Alternative Design: split-plot design in Table 22. Table 22: Split-Plot Version of the Wood Experiment First panel Second panel Pretreated with A 1 Pretreated with A 2 B 3 B 2 B 4 B 1 B 2 B 1 B 4 B 3 Justification: Easier to apply pretreatment to large wood panels. 40 Split-plot Design (Cont’d) • Split-plot design (and the name) has its origin in agriculture. • Some factors need to be applied to large plots, called whole plots . In the example, the two big wood panels to which pretreatement A1 and A2 are applied are whole plots. • Split each whole plot into smaller plots, called subplots . In the example, the four small wood panels within the large panels are subplots. • Wood Experiment: 3 replications, 6 whole plots (two large panels for A1 and A2 per replication). 41 Data from the Wood Experiment Whole Plot Pretreatment type ( A ) Stain type ( B ) Replication (Rep) Resistance ( Y ) 4 2 2 1 53.5 4 2 4 1 32.5 4 2 1 1...
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Wuchap_03b_09fall - Example of Split-plot Design Wood...

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