Data Collectionhard
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In a stratified cluster sample, researchers construct a 95% confidence interval for the population mean using simple percentile bootstrap (resampling with replacement from the overall sample). However, the resulting 95% CI achieves only ~88% actual coverage.
Which explains this shortfall?
A) The percentile bootstrap ignores design structure (strata/clusters), understating true design variance
B) Percentile bootstrap is invalid for surveys with clustering
C) The sample size is below the n ≥ 500 threshold required for bootstrap validity
D) Resampling without stratification violates the survey design constraints
Which are correct?
In a stratified cluster sample, researchers construct a 95% confidence interval for the population mean using simple percentile bootstrap (resampling with replacement from the overall sample). However, the resulting 95% CI achieves only ~88% actual coverage.
Which explains this shortfall?
A) The percentile bootstrap ignores design structure (strata/clusters), understating true design variance
B) Percentile bootstrap is invalid for surveys with clustering
C) The sample size is below the n ≥ 500 threshold required for bootstrap validity
D) Resampling without stratification violates the survey design constraints
Which are correct?