TABLE 7.
Trial‐level analysis of Bayesian decision model
| Dep Var = Left choice = 0,1 | All trials (20 trials per subject) | Hard trials (14 trials per subject) | Easy trials (six trials per subject) | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Independent Variable | (1) Coef (SE) [P‐value] | (2) Coef (SE) [P‐value] | (3) Coef (SE) [P‐value] | (4) Coef (SE) [P‐value] | (5) Coef (SE) [P‐value] | (6) Coef (SE) [P‐value] | (7) Coef (SE) [P‐value] | (8) Coef (SE) [P‐value] | (9) Coef (SE) [P‐value] |
| (Evidence) | 0.069 (.005) [.000] | 0.069 (.006) [.000] | 0.069 (.006) [.000] | 0.037 (.006) [.000] | 0.037 (.006) [.000] | 0.037 (.006) [.000] | 0.163 (.010) [.000] | 0.164 (.010) [.000] | 0.165 (.010) [.000] |
| (Base rate) | 0.040 (.002) [.000] | 0.040 (.002) [.000] | 0.040 (.002) [.000] | 0.029 (.002) [.000] | 0.029 (.002) [.000] | 0.029 (.002) [.000] | 0.135 (.036) [.000] | 0.136 (.036) [.000] | 0.135 (.036) [.000] |
| No Sugar (=1) | ‐ | 0.024 (.020) [.241] | 0.009 (.023) [.707] | ‐ | 0.016 (.020) [.437] | 0.002 (.023) [.940] | ‐ | 0.051 (.038) [.182] | 0.034 (.041) [.405] |
| Medit (=1) | ‐ | −0.001 (.019) [.967] | −0.002 (.020) [.905] | ‐ | −0.010 (.020) [.607] | −0.013 (.021) [.528] | ‐ | 0.036 (.035) [.306] | 0.042 (.036) [.239] |
| Veggie (=1) | ‐ | −0.001 (.017) [.969] | 0.002 (.021) [.934] | ‐ | −0.010 (.018) [.566] | −0.006 (.023) [.800] | ‐ | 0.040 (.034) [.235] | 0.035 (.040) [.376] |
| Additional Controls | No | No | Yes | No | No | Yes | No | No | Yes |
| n | 7613 | 7613 | 7613 | 5519 | 5519 | 5519 | 2094 | 2094 | 2094 |
| Wald (Χ 2) model test | 429.34 [.000] | 434.86 [.000] | 452.16 [.000] | 225.22 [.000] | 225.41 [.000] | 241.39 [.000] | 324.33 [.000] | 332.02 [.000] | 341.63 [.000] |
| Pseudo‐R 2 | .0697 | .0700 | .0718 | .0380 | .0383 | .0403 | .2687 | .2687 | .2724 |
Note: P‐values given are for two‐tailed tests (one‐tailed tests appropriate for preregistered hypotheses). Probit regressions with errors clustered at the subject level. Marginal effects reported above. Additional control variable estimates in models (3), (6), and (9) are suppressed for space considerations. Trials where Left Assess = 50 were removed from analysis given they could not uniquely determine a value for the dichotomous dependent variable, Left Choice. See Table S2 for estimates of suppressed coefficients.
Abbreviation: SE = standard errors.