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. Author manuscript; available in PMC: 2016 Mar 1.
Published in final edited form as: Soc Sci Med. 2015 Jan 13;128:356–365. doi: 10.1016/j.socscimed.2015.01.011

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.