An experiment has 3 treatments; 6 replicates were obtained for each of the treat

Question

An experiment has 3 treatments; 6 replicates were obtained for each of the treatments.

A) What is the total number of degrees of freedom?

B) How many degrees of freedom are associated with the treatments?

C) How many degrees of freedom are associated with the error?

An experiment has 5 treatments; 9 replicates were obtained for each of the treatments.

D) What is the total number of degrees of freedom?

E) How many degrees of freedom are associated with the treatments?

F) How many degrees of freedom are associated with the error?

Explanation / Answer

1. Here k = 3, N = 3*6 = 18

a) Total degrees of freedom = N - 1 = 18 - 1 = 17

b) Treatments degrees of freedom = k - 1 = 3 - 1 = 2

c) Error degrees of freedom = 17 - 2 = 15

2. Here k = 5, N = 5*9 = 45

a) Total degrees of freedom = N - 1 = 45 - 1 = 44

b) Treatments degrees of freedom = k - 1 = 5 - 1 = 4

c) Error degrees of freedom = 44 - 4 = 40

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