Q.91
Agricultural Statistics- ICAR JRF/SRF 2024
MCQ (Single Correct) +4 −1
Identify the best test to be adopted for testing the equality of mean thrips incidence in a set of same samples before and after spray of a treatment
  • Comparing Before-and-After Observations:
  • When observations (thrips incidence) are recorded on the exact same sampling units before and after a treatment spray, the two sets of observations are inherently correlated and non-independent.
  • The appropriate statistical test is the Paired $t$-test, which analyzes the individual differences $d_i = y_{i,\text{after}} - y_{i,\text{before}}$:
$$t = \frac{\bar{d} - 0}{s_d / \sqrt{n}}$$
  • Applying an independent two-sample $t$-test or standard one-way ANOVA is invalid because it ignores intra-unit pairing and inflates the residual error variance.
  • Conclusion: The best test is Paired test (Option 3).

Correct option: (3) Paired test

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