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. 2025 Sep 29;15:33436. doi: 10.1038/s41598-025-19051-1

Table 2.

Logit estimation: treatment effect on default propensity (Study 1).

Independent Var. Dependent Var.: DE
Model (1) Model (2)
Chance − 0.981** − 0.982**
(1 = 75%, 0 = 25%) (0.307) (0.307)
Frame − 0.927** − 0.927**
(1 = Gain, 0 = Loss) (0.290) (0.289)
Chance Inline graphic Frame 0.845* 0.846*
(0.395) (0.394)
Round − 0.033*** − 0.033***
(0.009) (0.009)
Gender 0.274 0.274
(1 = Male, 0 = Female) (0.287) (0.287)
Age − 0.014 − 0.014
(0.066) (0.066)
Decision Time − 2.085 − 2.085
(1.302) (1.302)
Constant 0.922 0.922
(1.378) (1.377)
Constant(id) 1.289***
(0.264)
Observations 3339 3339
Number of individuals 159 159
Inline graphic 1.135
Inline graphic 0.281

This table reports the panel Logit estimation results for two different model specifications, Model (1) using a random-effect model, and Model (2) using a mixed-effect model. Both models assume individual-clustered standard errors. The estimation is based on 3339 (159*21) individual-round level independent observations. Inline graphic is the standard deviation of inter-individual difference. Inline graphic is the intra-class correlation coefficient which captures the fraction of the variance of the dependent variable that is due to inter-individual differences. Constant(id) is a special output of mixed-effect model estimation, and it indicates the variance of random intercepts across individuals. Standard errors are in parentheses. Statistical significance is reported such that *, ** and *** denote significance levels of p < 0.05 and p < 0.01 and p < 0.001 respectively.