(In some of the exercises that follow, we must

Chapter 9, Problem 2E

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QUESTION:

With \(a = 3\) and \(b = 4\), find \(\mu, \alpha_{i}\), and \(\beta_{j}\) if \(\mu_{i j}\), \(i = 1, 2, 3\) and \(j = 1, 2, 3, 4\), are given by

Note that in an “additive” model such as this one, one row (column) can be determined by adding a constant value to each of the elements of another row (column).

Equation Transcription:

Text Transcription:

a=3

b=4

Mu, alpha_i

beta_i

mu_ij

i = 1, 2, 3  

j = 1, 2, 3, 4

Questions & Answers

QUESTION:

With \(a = 3\) and \(b = 4\), find \(\mu, \alpha_{i}\), and \(\beta_{j}\) if \(\mu_{i j}\), \(i = 1, 2, 3\) and \(j = 1, 2, 3, 4\), are given by

Note that in an “additive” model such as this one, one row (column) can be determined by adding a constant value to each of the elements of another row (column).

Equation Transcription:

Text Transcription:

a=3

b=4

Mu, alpha_i

beta_i

mu_ij

i = 1, 2, 3  

j = 1, 2, 3, 4

ANSWER:

Step 1 of 5

Given:

Withthe value ofis given in the form of a table.

The total number of observations is:

The equation for is given as, where:

*  The ith row effect, , is .

* The jthcolumn effect, , is .

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