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. 2020 Jun 5;237(9):2709–2724. doi: 10.1007/s00213-020-05567-z

Table 4.

Results of the Bayesian linear regression analyses (with the posterior, prior, and likelihood distributions). Predictors were the logarithmic k or λ (for mixed gambles) values at baseline as indicators of impulsive decision-making. Outcomes were the differences between the addictive disorder severity of substance use disorder (SUD) or non-substance-related addictive disorder (ND) (number of fulfilled diagnostic criteria and quantity-frequency-index (QFI)) at 1-year follow-up minus baseline

Mean/beta of association 95% credibility/confidence interval Probability (%) that associations are hypothesized direction
Delay discounting log (k) Association > 0
SUD criteria Posterior 0.12 0.03–0.20 99
Prior 0.25 0.00–0.50
Likelihood 0.10 0.01–0.20
ND criteria Posterior 0.03 − 0.06–0.11 72
Prior 0.25 0.00–0.50
Likelihood 0.00 − 0.10–0.09
QFI SUD-related Posterior 0.04 − 0.05–0.15 83
Prior 0.25 0.00–0.50
Likelihood 0.11 0.00–0.22
QFI ND-related Posterior 0.07 − 0.03–0.14 93
Prior 0.25 0.00–0.50
Likelihood 0.05 − 0.04–0.15
Probability discounting for gains log (k) Association < 0
SUD criteria Posterior − 0.04 − 0.13–0.04 84
Prior − 0.25 − 0.50–0.00
Likelihood − 0.02 − 0.11–0.08
ND criteria Posterior − 0.06 − 0.14–0.03 90
Prior − 0.25 − 0.50–0.00
Likelihood − 0.03 − 0.12–0.06
QFI SUD-related Posterior 0.02 − 0.09–0.12 40
Prior − 0.25 − 0.50–0.00
Likelihood 0.00 − 0.10–0.10
QFI ND-related Posterior 0.03 − 0.08–0.13 29
Prior − 0.25 − 0.50–0.00
Likelihood 0.03 − 0.06–0.12
Probability discounting for losses log (k) Association < 0
SUD criteria Posterior 0.02 − 0.07–0.10 34
Prior − 0.25 − 0.50–0.00
Likelihood 0.05 − 0.04–0.14
ND criteria Posterior − 0.09 − 0.17 to − 0.01 98
Prior − 0.25 − 0.50–0.00
Likelihood − 0.06 −0.16–0.03
QFI SUD-related Posterior 0.03 − 0.07–0.14 26
Prior − 0.25 − 0.50–0.00
Likelihood 0.02 − 0.08–0.13
QFI ND-related Posterior 0.03 − 0.07–0.13 31
Prior − 0.25 − 0.50–0.00
Likelihood 0.02 − 0.08–0.11
Loss aversion log (λ) Association < 0
SUD criteria Posterior − 0.14 − 0.23 to − 0.06 99
Prior − 0.25 − 0.50–0.00
Likelihood − 0.13 − 0.23 to − 0.03
ND criteria Posterior − 0.10 − 0.18 to − 0.01 98
Prior − 0.25 − 0.50–0.00
Likelihood − 0.07 − 0.17–0.03
QFI SUD-related Posterior − 0.02 − 0.13–0.09 62
Prior − 0.25 − 0.50–0.00
Likelihood − 0.04 − 0.16–0.07
QFI ND-related Posterior − 0.02 − 0.10–0.09 57
Prior − 0.25 − 0.50–0.00
Likelihood − 0.02 − 0.11–0.08

Baseline demographic characteristics (age, gender, IQ, income, and school graduation) and participants’ baseline values in addictive disorder severity were included as control variables in all analyses