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15 February, 09:01

A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each treatment condition. Based on this information, what are the df values for the F-ratio evaluating the main effect of factor A?

a. df=1,29

b. df = 1,24

c. df = 2,29

d. df = 2,24

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Answers (1)
  1. 15 February, 09:23
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    option (b) df = 1, 24

    Step-by-step explanation:

    Data provided in the question:

    levels of factor A, a = 2

    levels of factor B, b = 3

    Subjects in each Sample, s = 5

    n = 5 * 3 * 2 = 30

    Now

    df for Factor A = a - 1

    = 2 - 1

    = 1

    df for Factor B = b - 1

    = 3 - 1

    = 2

    df for Interaction AB = (a - 1) * (b - 1)

    = 1 * 2

    = 2

    df for Total = n - 1

    = 30 - 1

    = 29

    df for error = 29 - 5

    = 24

    Hence,

    df values for the F-ratio evaluating the main effect of factor A is 1, 24

    The correct answer is option (b) df = 1, 24
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