# Assume the following data obey the one-way analysis of variance model. (a) Decompose each observation (y_{i j})

## Question:

Assume the following data obey the one-way analysis of variance model.

**(a)** Decompose each observation \(y_{i j}\) as \[y_{i j}=\bar{y}+\left(\bar{y}_{i}-\bar{y}\right)+\left(y_{i j}-\bar{y}_{i}\right)\]

**(b)** Obtain the sums of squares and degrees of freedom for each array.

**(c)** Construct the analysis of variance table and test for differences among the treatments with \(\alpha=0.05\).

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## Probability And Statistics For Engineers

**ISBN:** 9780134435688

9th Global Edition

**Authors:** Richard Johnson, Irwin Miller, John Freund