Data Collectionhard
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A survey of unemployment across 5 small counties collects direct estimates and sample sizes:
| County | Direct Est. | Sample Size | SE |
|--------|------------|-------------|-----|
| A | 6.5% | 150 | 0.008 |
| B | 8.2% | 95 | 0.012 |
| C | 10.1% | 40 | 0.022 |
| D | 7.3% | 110 | 0.010 |
| E | 9.0% | 30 | 0.028 |
Using a small-area model (e.g., Fay-Herriot shrinkage) with regional mean = 8.2%, which county's estimate is shrunk most heavily toward the regional mean?
A survey of unemployment across 5 small counties collects direct estimates and sample sizes:
| County | Direct Est. | Sample Size | SE | |--------|------------|-------------|-----| | A | 6.5% | 150 | 0.008 | | B | 8.2% | 95 | 0.012 | | C | 10.1% | 40 | 0.022 | | D | 7.3% | 110 | 0.010 | | E | 9.0% | 30 | 0.028 |
Using a small-area model (e.g., Fay-Herriot shrinkage) with regional mean = 8.2%, which county's estimate is shrunk most heavily toward the regional mean?