a) An experimenter, Mr Mafanela would like to investigate the effects of a treatment with five levels A, B, C, D, and E. However he could only afford to take twenty observations in five blocks which could only be of size four each. (i) Sketch the layout of the data. (ii) Check whether Mr Mafanela design is balanced or not.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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a) An experimenter, Mr Mafanela would like to investigate the effects of a treatment with five levels A, B, C, D, and E. However he could only afford to take twenty observations in five blocks which could only be of size four each.
(i) Sketch the layout of the data.
(ii) Check whether Mr Mafanela design is balanced or not.

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