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(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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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: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).
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.
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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