Suppose that for a nutrition study on beef cattle five diets

Suppose that for a nutrition study on beef cattle five diets are to be studied with Black Angus yearling steers. The measurement to be taken is the average daily gain during a suitable period of time. If 50 such steers are to be grouped into 5 blocks on the basis of initial body weights, and 2 steers within each block assigned at random to each of five specific diets which are of interest to the experimenter, what is the statistical model for the experiment, and the degrees of freedom for each source of variations.

Solution

this is a Randomized block design!
No. of treatments = 5 , no. of blocks =5..subsample =2..

d.f of total = 49..
d.f of exp. steers= 24..
d.f of blocks = 4..
d.f of treatments = 4..
d.f of exp error = 16..
d.f of sampling error = 25...