Table 1.
Goodness-of-Fit Statistics for Models Fitted to Simulated Data and NHIS Data
| DGP for Simulation 1 | DGP for Simulation 4 | |||||||
|---|---|---|---|---|---|---|---|---|
| B&J Eq(4) | Reither Replicate, with 7-Year Cohorts | |||||||
| A | AP | AC | APC | A | AP | AC | APC | |
| Log Likelihood | −7546.2 | −7450.0 | −8230.5 | −8230.5 | −13797.1 | −13544.2 | −13554.6 | −13531.6 |
| AIC | 15098.3 | 14958.1 | 14950.9 | 14979.9 | 27600.2 | 27146.3 | 27149.2 | 27155.2 |
| BIC | 15123.2 | 15199.1 | 15117.1 | 15362.1 | 27625.1 | 27387.3 | 27315.4 | 27537.4 |
| df | 3 | 29 | 20 | 46 | 3 | 29 | 20 | 46 |
| N | 30,000 | 30,000 | 30,000 | 30,000 | 30,000 | 30,000 | 30,000 | 30,000 |
| DGP for Simulation 2 | NHIS Data 1986–2004 | |||||||
| 7-Year Categorical Cohorts | Masters et al. 2013 | |||||||
| A | AP | AC | APC | A | AP | AC | APC | |
| Log Likelihood | −13013.7 | −12973.5 | −12982.9 | −12963.8 | −229337.3 | −228055.6 | −227994.5 | −227873.3 |
| AIC | 26033.3 | 26005.0 | 26007.7 | 26019.7 | 458680.7 | 456153.1 | 456023.0 | 455816.7 |
| BIC | 26058.2 | 26246.0 | 26182.2 | 26410.2 | 458713.4 | 456382.3 | 456208.5 | 456198.5 |
| df | 3 | 29 | 20 | 46 | 3 | 21 | 17 | 35 |
| N | 30,000 | 30,000 | 30,000 | 30,000 | 404,782 | 404,782 | 404,782 | 404,782 |
| DGP for Simulation 3 | NHIS Data 1976–2002 | |||||||
| 3-Year Categorical Cohorts | Reither et al. 2009 | |||||||
| A | AP | AC | APC | A | AP | AC | APC | |
| Log Likelihood | −19054.0 | −18997.4 | −18995.1 | −1876.0 | −764779.4 | −751395.2 | −751787.8 | −751065.7 |
| AIC | 38113.9 | 38052.7 | 38032.2 | 38046.1 | 1529565.0 | 1502848.0 | 1503616.0 | 1502223.0 |
| BIC | 38138.8 | 38293.7 | 38206.7 | 38436.6 | 1529602.0 | 1503206.0 | 1503862.0 | 1502790.0 |
| df | 3 | 29 | 20 | 46 | 3 | 29 | 20 | 46 |
| N | 30,000 | 30,000 | 30,000 | 30,000 | 1,645,884 | 1,645,884 | 1,645,884 | 1,645,884 |
Note: BIC is the Bayesian Information Criterion and is estimated to be −2*log(L) + df*log(N). The model fit statistics were estimated for unweighted HAPC-CCFEMs. Results from the NHIS using weighted HAPC-CCFEMs and results from the NHIS using HAPC-CCREMs are consistent with those above.