Suppose that a one-way analysis of variance involves four treatments but that a different number of observations

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Suppose that a one-way analysis of variance involves four treatments but that a different number of observations (e.g., $n_{i}$ ) has been taken under each treatment. Assuming that $n_{1}=3, n_{2}=2, n_{3}=4$, and $n_{4}=3$, write down the $\mathbf{y}$ vector and $\mathbf{X}$ matrix for analyzing these data as a multiple regression model. Are any complications introduced by the unbalanced nature of these data?

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Introduction To Linear Regression Analysis

ISBN: 9781119578727

6th Edition

Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining

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