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On unweighted sums of squares in unbalanced analysis of variance

✍ Scribed by André I. Khuri

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
100 KB
Volume
74
Category
Article
ISSN
0378-3758

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✦ Synopsis

The well-known method of unweighted sums of squares (USSs) is examined using, as an example, a random two-way classiÿcation model with interaction. In particular, a better motivation is given to the association between the harmonic mean of the cell frequencies and the USSs. Furthermore, a procedure is developed for determining the adequacy of the USSs as approximate balanced analysis of variance (ANOVA) sums of squares. This procedure is easy to apply and provides a better insight into the e ects of design and model's variance components on such an approximation. The proposed methodology can be extended to higher-order models and other types of sums of squares.

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