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. Author manuscript; available in PMC: 2023 Jun 2.
Published in final edited form as: Environ Ecol Stat. 2019 Oct 4;26(4):287–302. doi: 10.1007/s10651-019-00428-1

Table 2:

Simulation results from 10,000 MC runs when the true model is an upper hinge linear model. Mean estimate, %bias, coverage, and MC SD of the parameter estimate are given for both the segmented and upper hinge models. Additionally, the ratios of the MC standard deviation of the parameter estimates from the two models fit are given.

Segmented Model
Upper Hinge Model
n Est(%Bias) Coverage MC SD Est(%Bias) Coverage MC SD SD Ratio

βz
50 1.00 (0) 0.945 0.07 1.00 (0) 0.941 0.06 1.02
100 1.00 (0) 0.946 0.04 1.00 (0) 0.946 0.04 1.01
500 1.00 (0) 0.944 0.02 1.00 (0) 0.945 0.02 1.00
β(x-e)-
50 1.12 (12) 0.985 0.54 1.02 (2) 0.959 0.22 2.47
100 1.04 (4) 0.977 0.19 1.01 (1) 0.961 0.13 1.44
500 1.00 (0) 0.962 0.06 1.00 (0) 0.956 0.05 1.03
e
50 2.97 0.968 0.84 3.01 0.950 0.50 1.69
100 3.00 0.968 0.50 3.00 0.961 0.31 1.62
500 3.00 0.962 0.19 3.00 0.956 0.13 1.45