Q.91
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 $d_i = y_{i,\text{after}} - y_{i,\text{before}}$:
- 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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