Table 2.
Observed 12-Month Homelessness and Persistent Homelessness in the Test Sample (n=4,977)a
| Any homelessness |
Persistent homelessness |
||||||||
|---|---|---|---|---|---|---|---|---|---|
| Sensitivity (SN) |
Positive predictive value (PPV) |
Sensitivity (SN) |
Positive predictive value (PPV) |
||||||
| Distribtionc | Within-ventile | Cumulative | Within-ventile | Cumulative | Within-ventile | Cumulative | Within-ventile | Cumulative | |
| Risk ventileb | % (SE) | SN (SE) | SN (SE) | PPV (SE) | PPV (SE) | SN (SE) | SN (SE) | PPV (SE) | PPV (SE) |
| 1 | 5.1 (0.5) | 21.2 (3.8) | 21.2 (3.8) | 12.2 (2.5) | 12.2 (2.5) | 25.2 (6.4) | 25.2 (6.4) | 7.8 (2.2) | 7.8 (2.2) |
| 2 | 5.8 (0.5) | 14.9 (3.8) | 36.1 (5.0) | 7.4 (2.4) | 9.6 (1.7) | 12.1 (5.3) | 37.3 (7.5) | 3.9 (1.8) | 5.9 (1.4) |
| 3 | 7.1 (0.8) | 15.4 (5.3) | 51.5 (6.2) | 6.3 (3.1) | 8.3 (1.7) | 15.9 (8.2) | 53.3 (8.1) | 3.6 (1.9) | 5.0 (1.1) |
| 4 | 4.9 (0.5) | 9.6 (3.3) | 61.1 (6.2) | 5.7 (2.1) | 7.8 (1.3) | 9.9 (6.1) | 63.2 (7.3) | 3.5 (2.3) | 4.7 (1.0) |
| 5 | 4.0 (0.5) | 4.0 (4.2) | 65.2 (5.7) | 3.0 (2.5) | 7.0 (1.1) | 3.4 (2.6) | 66.5 (7.2) | 1.6 (1.2) | 4.2 (0.9) |
| 6 | 3.3 (0.3) | 5.3 (2.2) | 70.5 (5.7) | 4.7 (1.3) | 6.8 (0.9) | 4.5 (2.6) | 71.0 (7.0) | 1.9 (1.1) | 3.9 (0.8) |
| 7 | 6.1 (0.6) | 4.3 (1.3) | 74.8 (5.5) | 2.0 (0.7) | 6.0 (0.8) | 5.1 (2.7) | 76.1 (6.4) | 1.8 (0.9) | 3.6 (0.7) |
| 8 | 4.8 (0.4) | 8.1 (4.1) | 82.8 (4.4) | 4.9 (2.5) | 5.9 (0.8) | 5.0 (3.2) | 81.2 (5.9) | 1.4 (0.9) | 3.3 (0.6) |
| 9 | 4.7 (0.4) | 6.3 (3.2) | 89.2 (3.3) | 3.9 (1.9) | 5.7 (0.7) | 5.1 (3.6) | 86.3 (4.9) | 2.0 (1.4) | 3.2 (0.6) |
| 10 | 4.6 (0.6) | 1.2 (1.4) | 90.4 (3.0) | 0.8 (0.8) | 5.2 (0.7) | 2.4 (2.2) | 88.7 (4.6) | 1.1 (1.0) | 3.0 (0.5) |
| 11 | 4.5 (0.5) | 2.9 (1.9) | 93.4 (2.4) | 1.9 (1.1) | 5.0 (0.6) | 0.0 (0.0) | 88.7 (4.6) | 0.0 (0.0) | 2.7 (0.5) |
| 12 | 4.4 (0.5) | 1.7 (1.2) | 95.1 (2.0) | 1.1 (0.7) | 4.7 (0.6) | 4.7 (3.4) | 93.4 (3.2) | 2.0 (1.4) | 2.7 (0.5) |
| 13 | 5.3 (0.7) | 0.0 (0.0) | 95.1 (2.0) | 0.0 (0.0) | 4.3 (0.5) | 0.0 (−) | 93.4 (3.2) | 0.0 (−) | 2.4 (0.4) |
| 14 | 4.7 (0.6) | 0.7 (0.7) | 95.8 (1.9) | 0.4 (0.4) | 4.0 (0.5) | 2.2 (1.7) | 95.6 (2.8) | 0.8 (0.6) | 2.3 (0.4) |
| 15 | 4.3 (0.4) | 1.4 (1.6) | 97.2 (1.1) | 0.9 (0.9) | 3.8 (0.5) | 0.0 (−) | 95.6 (2.8) | 0.0 (−) | 2.2 (0.4) |
| 16 | 4.5 (0.4) | 1.1 (0.5) | 98.2 (1.0) | 0.7 (0.3) | 3.7 (0.4) | 2.4 (2.3) | 98.0 (1.6) | 0.9 (0.9) | 2.1 (0.4) |
| 17 | 5.0 (0.5) | 0.4 (0.0) | 98.8 (1.0) | 0.2 (0.0) | 3.4 (0.4) | 0.4 (0.4) | 98.4 (1.5) | 0.1 (0.1) | 2.0 (0.3) |
| 18 | 4.7 (0.4) | 0.0 (0.3) | 98.8 (0.9) | 0.0 (0.2) | 3.3 (0.4) | 0.0 (−) | 98.4 (1.5) | 0.0 (−) | 1.9 (0.3) |
| 19 | 6.9 (0.8) | 1.2 (0.9) | 100.0 (0.0) | 0.5 (0.5) | 3.1 (0.4) | 1.6 (1.5) | 100.0 (0.0) | 0.4 (0.4) | 1.8 (0.3) |
| 20 | 5.4 (0.7) | 0.0 (0.0) | 100.0 (0.0) | 0.0 (0.0) | 2.9 (0.2) | 0.0 (−) | 100.0 (0.0) | 0.0 (−) | 1.7 (0.3) |
The n=4,977 respondents in the test sample represent 30% of the n=16,589 in the total sample, including n=113 of the n=443 total sample respondents who reported being homeless in the 12 months before their STARRS-LS survey. The remaining 70% of the total sample were in the training sample.
Defined in terms of thresholds in the calibrated training sample to separate the sample into 20 subsamples of equal size rank ordered in terms predicted risk. Based on the distribution of predicted probabilities in the training case control sample (n=1,860).
As the thresholds defining ventiles of predicted risk were based on the training sample, the proportions of test sample respondents in each ventile do not equal 5%.