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. 2017 Jun 7;54(1):37–59. doi: 10.1007/s11166-017-9252-4

Table 4.

Estimates of the utility function and the noise parameter in the four experimentsa

Gain domain Loss domain
Parameter TP TD NC All TP TD NC All
SWE:
γ 0.941 0.978 0.963 0.863 0.924 0.895
(0.030) (0.025) (0.020) (0.019) (0.022) (0.014)
ξ 1.183 0.844 1.010 1.017 0.964 1.000
(0.195) (0.115) (0.107) (0.144) (0.133) (0.099)
Tests, (TP vs TD): p γ = 0.338 , p ξ = 0.116 , p = 0.010 p γ = 0.036 , p ξ = 0.784 , p = 0.044
US:
γ 1.072 1.190 1.151 0.436 0.589 0.514
(0.074) (0.071) (0.054) (0.034) (0.025) (0.020)
ξ 0.991 0.701 0.848 1.238 1.224 1.243
(0.125) (0.072) (0.068) (0.181) (0.162) (0.123)
Tests, (TP vs TD): p γ = 0.249 , p ξ = 0.033 , p < 0.001 p γ < 0.001 , p ξ = 0.955 , p < 0.001
AUT I:
γ 0.763 0.826 0.797 0.790 0.844 0.822
(0.017) (0.014) (0.010) (0.016) (0.011) (0.009)
ξ 0.666 0.534 0.597 0.658 0.383 0.495
(0.094) (0.060) (0.089) (0.090) (0.035) (0.038)
Tests, (TP vs TD): p γ = 0.003 , p ξ = 0.221 , p = 0.006 p γ = 0.006 , p ξ < 0.001 , p < 0.001
AUT II: b
γ 0.892 0.873 0.948 0.903 0.811 0.880 0.811 0.835
(0.023) (0.017) (0.021) (0.011) (0.017) (0.015) (0.015) (0.009)
ξ 0.892 0.630 0.700 0.745 0.709 0.502 0.609 0.608
(0.064) (0.038) (0.045) (0.028) (0.045) (0.030) (0.036) (0.021)
Tests, (TP vs TD): p γ = 0.508 , p ξ < 0.001 , p < 0.001 p γ = 0.002 , p ξ < 0.001 , p < 0.001

aAll amounts are converted to US Dollars (using average exchange rates for 2013). γ denotes the coefficient of risk aversion, and ξ captures the measurement noise. The p-values reported are for γ, ξ , and both parameters being the same in the TP and TD treatments. Inference for ξ is based on a parametrization in which log(ξ) = μ 0 + μ 1 δ TD, where δ TD is a dummy indicator for a time delay session, and the p-value is for the restriction μ 1 = 0. The joint tests are likelihood ratio tests. Standard errors are provided in parentheses

bThe p-values comparing TP vs NC and TD vs NC are not shown in the table for lack of space. The p-values for the difference in the risk parameter (γ) between TP vs NC and TD vs NC are 0.071 and 0.005 for gains and 0.983 and <0.001 for losses. The p-values for the difference in the noise parameter (ξ) between TP vs NC and TD vs NC are 0.013 and 0.236 for gains and 0.082 and 0.022 for losses.