Question

Use the output below to answer the following questions regarding warm-up times for television brands.

Df Sum Sq Mean Sq F value   Pr(> F)

Brand 4 589.30 147.32. 17.644 1.529e−05

Residuals   15 125.25.   8.35

1. Identify the treatment degrees of freedom and the error degrees of freedom and write them down.

2. Identify the sum of squares error values and the sum of squares treatment values and write them down.

3. Identify the value for the SSTreatment/dfTreatment and write it down.

4. Identify the value for the SSError/dfError and write it down.

Answer 1

using the given data table to answer given questions

(A) Treatment is Brand, given degree of freedom for Brand is 4

Error or residual, given degree of freedom from the table is 15

(B) Sum of squares is given Sq in the given table

Sq value for Brand or treatment is 589.30

Sq value for residual or error is 125.25

(C) MS(treatment) = SS(treatment)/df(treatment)

= 589.3/4

= 147.325

It is also given under Mean Sq(treatment) in the given table

(D) MS(error) = SS(error)/df(error)

= 125.25/15

= 8.35

It is also given under Mean Sq(error) in the given table