Two Factor Random Effects Model

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4 Terms

1
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what is a crossed effect

When two random factors (e.g., A and B) are applied to the same experimental units in a factorial design, they are crossed. Each level of factor A is observed at multiple levels of factor B and vice versa

2
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What is a nested effect

When one factor is "nested" within another, the levels of the nested factor are unique to each level of the higher-level factor, meaning they do not appear in multiple groups

3
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An experiment is conducted at a production line in which y, the thickness of the oxide layer of silicon wafers produced is measured. They select 8 lots of wafers at random, from each lot 3 wafers are randomly selected, and for each wafer 3 sides are randomly selected and measured.

  • Which type of design is appropriate here?

  • How many factors do we have?

  • a three-factor nested design

  • Factor A is the lot, 8 wafers

  • Factor B is the wafer, 3 selected in each lot

  • Factor C is the side, 3 from each wafer

B is nested in A and C is nested in A and B.

4
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what are the estimated

  • MSE / MSC(B)

  • MSA

  • MSB(A)

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