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22 January, 11:03

How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?

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Answers (2)
  1. 22 January, 11:09
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    df = 8

    Therefore, the number of degree of freedom is 8

    Step-by-step explanation:

    the number of degrees of freedom can be defined as the number of values in the final calculation of a statistic that are free to vary.

    In randomised block design, It can be represented by the equation.

    df = (b-1) (t-1) ... 1

    Where;

    df is the degree of freedom

    b is the number of blocks

    t is the number of treatments

    From the questions above.

    b = 3

    t = 5

    Using equation 1

    df = (3-1) (5-1)

    df = 2*4

    df = 8

    Therefore, the number of degree of freedom is 8
  2. 22 January, 11:20
    0
    8

    Step-by-step explanation:

    In a randomnized block design, the formula for calculating the degrees of freedom for error is given by:

    (r-1) (c-1)

    where: r is the number of treatments and c is the number of blocks

    Applying the above formula to this case;

    The number of treatments is 5 and the number of blocks is 3, which means we can calculate the degrees of freedom for error as:

    (5-1) x (3-1) = 4 x 2 = 8
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