. Author manuscript; available in PMC: 2014 Nov 26.

Published in final edited form as: J Agric Biol Environ Stat. 2014 Sep;19(3):319–337. doi: 10.1007/s13253-014-0173-2

Table 1.

Estimated hyperparameters (obtained by using the methods described in Appendix C) and empirical estimates of bias and MSE of our hyperparameter estimators based on analysis of 1,000 datasets simulated with hyperparameters estimated from the alfalfa and maize datasets as the true hyperparameter values.

Parameters

π_α

μ_α

σ_{α}^{2}

π_δ

μ_δ

σ_{δ}^{2}

d₀

σ_{0}^{2}

Alfalfa Exp

0.870

0.011

0.087

0.405

−0.020

0.232

2.52

0.035

Bias

−5.33e-2

−2.92e-3

−1.12e-2

−2.72e-2

6.77e-4

−3.53e-3

1.60e-3

9.36e-6

MSE

2.85e-3

2.54e-5

1.31e-4

7.64e-4

1.34e-5

2.38e-5

6.11e-4

6.34e-8

Maize Exp

0.331

0.002

0.022

0.647

−0.008

0.046

2.34

0.030

Bias

2.85e-3

−1.31e-5

1.19e-4

1.48e-3

6.10e-5

4.50e-4

-1.20e-3

4.14e-7

MSE

6.45e-5

2.90e-6

1.99e-7

5.73e-5

1.31e-5

2.12e-6

9.20e-4

7.67e-8