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An experiment has a single factor with eight groups and five values in each group. a. How many degrees of freedom are there in determining the​ among-group variation? b. How many degrees of freedom are there in determining the​ within-group variation? c. How many degrees of freedom are there in determining the total​ variation?

Respuesta :

akachimichael

Answer:

A) 7

B) 32

C) 39

Step-by-step explanation:

Degree of freedom is a means of checking how many values that are free to vary, while using a statistical method.

a) since the experiment has a single factor with eight critical values. Therefore;

C - F = degree of freedom among the group variation

8 - 1 = 7

b) The degree of freedom can be calculated, if the number of data; Therefore, number of data is;

N = 8 × 5 = 40

Then the degree of freedom in determining within group variation,

N - C Therefore;

40 - 8 = 32

C) The degree of freedom in determining the total variation is,

N - 1

40 - 1 = 39

ajeigbeibraheem

The degree of freedom among the group variation is 7

The degree of freedom within-group variation is 32

The degree of freedom in determining the total variation is 39

Degrees of freedom relates to the maximum number of theoretically independent values in a data sample, in which values have the freedom to vary.

From the information given:

  • The experiment that has a single factor group (K) = 8
  • The number of values (N) = 5

The degree of freedom among the group variation is = K - 1

= 8 - 1

= 7

The degree of freedom within-group variation is = K(N-1)

= 8(5 - 1)

= 8(4)

= 32

The degree of freedom in determining the total variation is = kN - 1

= 8(5) - 1

= 40 - 1

= 39

Learn more about the degree of freedom here:

https://brainly.com/question/17305237

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