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In one-way analysis of variance suppose there are k treatments and n is the total number of observations then the degree of freedom for error sum of squares will be ............

  • A.n - 1
  • B.k - 1
  • C.nk - 1
  • D.n - k

Answer: D

The error degrees of freedom are n - k.

In one-way ANOVA the total degrees of freedom, \(n - 1\), are split between treatments and error. Treatments take \(k - 1\), so error takes

\[ (n - 1) - (k - 1) = n - k \]

\(n - 1\) is the total, \(k - 1\) is for treatments, and \(nk - 1\) would apply only if \(n\) were the number of observations per treatment.

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