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. Author manuscript; available in PMC: 2015 Oct 1.
Published in final edited form as: J Am Stat Assoc. 2014 Oct;109(508):1672–1682. doi: 10.1080/01621459.2014.957287

Table 2.

Evaluation of the GODE method by calculating average relative errors (ARE) in parameter estimates based on 500 simulation runs.

distribution # of obs. per dilu. factor variance ARE(%) of GODE ARE(%) of ESB
ρ E β E δ E* cV β ρ E β E δ E* cV β
binomial 5 - 47.8% 8.72% 27.9% 26.6% 3.98% 3.29 × 107% 89.1% 69.1% 36.3% 4.03%
10 - 49.6% 5.90% 19.2% 19.2% 2.68% 3.66 × 107% 94.9% 72.4% 28.9% 2.78%
20 - 49.7% 4.55% 13.7% 13.4% 1.85% 3.93 × 107% 91.2% 41.1% 20.4% 2.19%

Poisson 5 - 46.1% 14.0% 41.5% 43.4% 6.52% 1.21 × 107% 72.6% 95.9% 39.4% 6.66%
10 - 49.5% 9.14% 37.4% 32.7% 4.32% 1.61 × 107% 72.4% 77.3% 28.1% 4.49%
20 - 48.4% 5.86% 23.2% 19.8% 3.24% 2.40 × 107% 70.8% 71.3% 20.9% 3.37%

Gamma 5 3.0 12.3% 10.1% 50.6% 58.0% 84.3% 3.50 × 107% 92.7% 93.8% 55.7% 84.6%
10 1.5 11.6% 6.40% 50.7% 45.1% 76.9% 4.53 × 107% 105% 84.3% 30.0% 77.1%
20 0.75 13.1% 11.7% 36.0% 24.8% 69.5% 4.95 × 107% 115% 95.4% 19.9% 69.7%

normal 5 3.0 36.8% 44.0% 77.2% 104% 58.0% 1.93 × 107% 65.4% 84.5% 50.4% 76.4%
10 1.5 39.3% 21.4% 52.8% 59.2% 13.5% 1.95 × 107% 64.7% 73.6% 32.8% 13.9%
20 0.75 46.8% 9.02% 27.8% 26.7% 6.21% 2.12 × 107% 67.5% 68.1% 22.7% 6.20%