A research report concludes that there are significant differences among treatments, with "F (2, 27) = 8.62, p <.01." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment?

Question

Darrell Hatfield

Social Studies

20 August, 23:41

A research report concludes that there are significant differences among treatments, with "F (2, 27) = 8.62, p <.01." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment?

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Answers (1)

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Kathy Singh · Answer 1

there were 10 individuals in each treatment

Explanation:

In analysis of variance, the F - value from the table is gotten by using the degree of freedom for treatment and degree of freedom for error. for this question, lets assume k to be the number of treatments and N to be total number of samples.

to get degree of freedom for treatment = K - 1 = 2 in this case. thus,

K = 2 + 1 = 3. there are 3 treatments.

to get the degree of freedom for error, N - K is used. in this case.

N - 3 = 27. thus N = 30. the total number of samples is 30 and the number of treatment is 3. to get the number of individuals in a treatment, divide the total number of samples by the number of treatments = 30/3 = 10