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Analysis of Variance Designs by A. J. Guarino, Lawrence S. Meyers, Glenn Gamst

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Chapter Twelve Three-way within-subjects design

A three-way within-subjects design is one in which the levels of three within-subjects variables are combined factorially. Given that it is a within-subjects design, we still require that the participants contribute a data point to each of the separate cells (each of the unique combinations of the levels of the independent variables) of the design. The logistics of running a three-way study can be challenging but, partly because the subjects are their own controls and partly because each within-subject effect of interest is associated with its own error term (thus partitioning the total within-subjects error into separate error components), such a design has a considerable amount of statistical power. ...

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