King County 2024 total rate vs. rent, with count-method adjustment
Question: How does King County's 2024 residual change if the estimated effect of its 2022 switch to respondent-driven sampling is removed?
Result: 2024 total, central method adjustment (1,100 people removed): 29.33 (95% PI -27.03 to 85.69); 2024 total, high method adjustment (3,600 people removed): 18.65 (95% PI -37.71 to 75); 2024 total, Major City sample, central adjustment: 9.54 (95% PI -52.44 to 71.51); 2024 total, Major City sample, high adjustment: -1.15 (95% PI -63.12 to 60.83)
Operation: Leave-one-out OLS of homelessness rate on median gross rent; King County residual with 95% prediction interval
Scope: 2024 fits, full sample and Major City sample
| Estimate | Value | Uncertainty | Method | n |
|---|---|---|---|---|
| 2024 total, central method adjustment (1,100 people removed) | 29.33 ± 28.14 per 10,000 residents (95% CI -27.03 to 85.69) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 59 |
| 2024 total, high method adjustment (3,600 people removed) | 18.65 ± 28.14 per 10,000 residents (95% CI -37.71 to 75) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 59 |
| 2024 total, Major City sample, central adjustment | 9.54 ± 30.53 per 10,000 residents (95% CI -52.44 to 71.51) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 37 |
| 2024 total, Major City sample, high adjustment | -1.15 ± 30.53 per 10,000 residents (95% CI -63.12 to 60.83) | ± one standard error; 95% confidence interval | Leave-one-out OLS on median rent; 95% prediction interval | 37 |
- Rent alone explains little of the variation across large CoCs, so the prediction intervals are wide.
- King County switched to respondent-driven sampling in 2022; its 2022 and 2024 rates are not directly comparable with visual counts.
- Cross-sectional association within one year; not a causal estimate.
Robustness check for: King County total homelessness rate vs. rent-predicted rate, all large CoCs