Question

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided.
SSTR = 200 (Sum Square Between Treatments)
SST = 800 (Total Sum Square)


Refer to Exhibit 13-4. The number of degrees of freedom corresponding to within treatments is:

a.60

b.59

c.5

d.4

Answer 1

Answer:

The number of degrees of freedom corresponding to within treatments is (a) 60.

Step-by-step explanation:

The number of treatments involved in the experiment is, k = 5.

Each treatment has 13 observations recorded.

The total number of observations is, 5 × 13 =65

The degrees of freedom for between treatment and within treatment are:

$df_{between}=k-1\\df_{within} =N-k$

Compute the degrees of freedom for within treatment as follows:

$df_{within} =N-k\\=65-5\\=60$

Thus, the degrees of freedom for within treatment are 60.