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CSS Statistics QUESTION #1993
Question 1
In a randomized complete block design (RCBD) with \(t\) treatments and \(b\) blocks, the error degrees of freedom is:
  • \(tb - 1\)
  • \((t-1)(b-1)\)✔️
  • \(t + b - 1\)
  • \(tb - t - b\)
Correct Answer Explanation
In RCBD, total df \(= tb-1\), treatments df \(= t-1\), blocks df \(= b-1\). By subtraction, error df \(= (tb-1)-(t-1)-(b-1) = tb - t - b + 1 = (t-1)(b-1)\). This is also written as \(tb - t - b + 1\), which is identical to \((t-1)(b-1)\).