Question

An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, were taken from the four populations. The degrees of freedom for the numerator and denominator for the critical value of F are ________.

Answers

  1. The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
    The samples, each comprised of 15 observations, were taken from the four populations.

    How to find the degrees of freedom?

    The determine the degrees of freedom for the numerator and denominator for the critical value of F is given below:
    k = 4
    n = 15
    Total degree of freedom;
    = nk – 1
    = 59
    For numerator, it is
    = k -1
    = 4 – 1
    = 3
    For denominator it is
    = T – (k -1 )
    = 59 – 3
    = 56
    The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
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