(e) of order 5 rather than a 5 x 5x 5 three-way layout with one observation Explain why one might prefer to use a Latin Square Design per cell.
(e) of order 5 rather than a 5 x 5x 5 three-way layout with one observation Explain why one might prefer to use a Latin Square Design per cell.
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
Transcribed Image Text:Consider the following model:
Yijk= µ+ a; + B;+ Yk+ €ijk 1 < i<I,1<j<J,1< k< K,
where ei jk's are i.i.d. Normal (0, o²). This is either a three-way layout model
with no interactions or a model for Latin square design (if I=J=K). In the
following sub-questions, parts (a) to (c) are related to three-way layout model
with no interactions, and part (d) is related to Latin square. To answer these
questions, you only need to give the formula (there are no real numbers here).

Transcribed Image Text:Explain why one might prefer to use a Latin Square Design
of order 5 rather than a 5 x 5 x 5 three-way layout with one observation
per cell.
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