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. Author manuscript; available in PMC: 2018 Jul 20.
Published in final edited form as: Stat Med. 2017 Apr 9;36(16):2576–2589. doi: 10.1002/sim.7292

Table 5.

Estimates of parameters for normal weight pre-treatment period (N=10) for both the population and single-subject models. Subject level estimates are provided for two randomly selected women.

Population Level Parameters

Population Model Single Subject Model


PM 95% CI MPM 95% CI
Population Means

N¯sa
5.3 (4.2, 6.4) 5.0 (3.9, 6.1)
Mass, μa 1.1 (0.4, 1.7) −2.0 (−5.3, 1.4)
Width, μw 2.7 (−1.1, 6.2) 3.0 (−1.8, 7.8)
Baseline, μb 2.7 (1.5, 4.1) 3.5 (3.2, 3.8)
Half-life, μh 40.2 (31.9, 50.1) 53.1 (41.3, 64.2)
Subject-to-subject variation

Mass, σa 0.8 (0.3, 1.6) 6.0 (2.6, 10.3)
Width, σw 3.7 (0.1, 8.8) 8.1 (4.2, 12.7)
Baseline, σb 1.6 (0.4, 3.2) 3.3 (2.9, 3.6)
Half-life, σh 4.2 (0.2, 9.5) 21.5 (12.9, 31.9)
Pulse-to-pulse variation

Mass, υa 0.5 (0.3, 0.8) 2.9 (0.1, 9.3)
Width υw 0.9 (0.1, 2.8) 4.2 (0.1, 9.7)
Model Error

σε2
0.010 (0.008, 0.013) 0.018 (0.0006, 0.058)

Subject Specific Parameters (Subject ID4)

Population Model Single Subject Model


PM 95% C.I. PM 95% CI
Ns,i 5.5 (4,8) 4.5 (1,9)
μai 0.4 (−0.2,1.0) −5.1 (−21.2,11.6)
μwi 0.09 (−9.0,1.3) 3.2 (−16.9,24.4)
θb,i 1.7 (1.3,2.1) 2.6 (1.6,3.0)
θh,i 39.6 (26.0,53.4) 44.0 (7.5,96.0)

Subject Specific Parameters (Subject ID8)

Population Model Single Subject Model


PM 95% C.I. PM 95% C.I.
Ns,i 5.4 (5,7) 5.5 (5,8)
μai 1.4 (0.9,2.0) 1.4 (0.3,2.1)
μwi 2.7 (−1.4,4.6) 1.1 (−11.9,5.5)
θb,i 2.4 (1.3,3.3) 1.6 (0.1,3.4)
θh,i 40.6 (29.6,53.7) 51.8 (28.1,77.9)

PM: Posterior Mean; 95% C.I.: 95% equal probability tails credible intervals; MPM: Mean of the posterior means.

a

is the mean of the posterior mean number of pulses for each individual.