. Author manuscript; available in PMC: 2016 Dec 1.

Published in final edited form as: Stat Methods Med Res. 2014 May 11;25(6):2925–2938. doi: 10.1177/0962280214534588

Table 1.

Hyperparameters and posterior estimates of parameters from the speech perception analysis.

Parameter

Prior Distribution

Posterior Mean (SD)

95% Credible Interval

N(0, 100²)

78.05 (2.30)

(73.67, 82.62)

Gamma(0.1, 0.1)

2.11 (0.33)

(1.49, 2.80)

Gamma(0.1, 0.1)

0.40 (0.15)

(0.19, 0.62)

θ_a

Normal(0, 1000)

−2.77 (1.63)

(−5.98, 0.39)

θ_b

Normal(0, 1000)

4.82 (3.13)

(0.29, 13.05)

θ_c

Normal(0, 1000)

0.05 (0.03)

(−0.02, 0.11)

δ_a

Normal(0, 1000)

6.35 (3.31)

(0.04, 12.95)

δ_b

Normal(0, 1000)

−0.34 (0.56)

(−1.30, 0.99)

δ_c

Normal(0, 1000)

−0.19 (0.22)

(−0.57, 0.13)

ν_a

Normal(0, 1000)

0.42 (2.83)

(−5.16, 6.04)

ν_b

Normal(0, 1000)

14.73 (13.88)

(−0.81, 49.52)

ν_c

Normal(0, 1000)

−0.28 (0.12)

(−0.52, −0.06)

σ_{1}^{2}

IG(0.01, 0.01)

105.30 (9.43)

(88.30, 125.30)

σ_{2}^{2}

IG(0.01, 0.01)

62.84 (8.20)

(48.44, 80.78)

σ_{U}^{2}

IG(0.01, 0.01)

33.72 (18.29)

(7.94, 79.08)

σ_{V}^{2}

IG(0.01, 0.01)

1.23 (0.54)

(0.40, 2.49)

σ_{W}^{2}

IG(0.01, 0.01)

0.17 (0.06)

(0.07, 0.31)