Regression analyses used to test our hypotheses
| Panel A: All cases | Panel B: Human | Panel C: Algorithm | |||||
|---|---|---|---|---|---|---|---|
| Coeff. | p value | Coef. | p value | Coef. | p value | ||
| Advice rationale | 1.198 | 0.002 a | Advice rationale | 1.198 | 0.003 a | 1.852 | 0.000 a |
| Accountability | 0.063 | 0.790 | Accountability | 0.063 | 0.790 | 0.467 | 0.243 |
| Type of adviser | 0.091 | 0.763 | |||||
| Advice rationale × Accountability | 1.025 | 0.039 a | Advice rationale × Accountability | 1.025 | 0.039 a | −0.227 | 0.738 |
| Advice rationale × Type of Adviser | 0.653 | 0.291 | Constant | 5.576 | 0.000 | 5.667 | 0.000 |
| Accountability × Type of adviser | 0.404 | 0.384 | |||||
| Simple Effects | |||||||
| Advice rationale @ Accountability = 1 | 2.223 | 0.000 a | 1.625 | 0.001 a | |||
| Advice rationale × Accountability × Type of adviser | −1.251 | 0.081 a | |||||
| Accountability @ Advice rationale = 1 | 1.088 | 0.021 a | 0.240 | 0.662 | |||
| Constant | 5.576 | 0.000 | |||||
| N | 248 | N | 129 | 119 | |||
| R_Sq | 0.236 | R_Sq | 0.263 | 0.202 | |||
| Panel A: All cases | Panel B: Human | Panel C: Algorithm | |||||
|---|---|---|---|---|---|---|---|
| Coeff. | Coef. | Coef. | |||||
| Advice rationale | 1.198 | 0.002 a | Advice rationale | 1.198 | 0.003 a | 1.852 | 0.000 a |
| Accountability | 0.063 | 0.790 | Accountability | 0.063 | 0.790 | 0.467 | 0.243 |
| Type of adviser | 0.091 | 0.763 | |||||
| Advice rationale × Accountability | 1.025 | 0.039 a | Advice rationale × Accountability | 1.025 | 0.039 a | −0.227 | 0.738 |
| Advice rationale × Type of Adviser | 0.653 | 0.291 | Constant | 5.576 | 0.000 | 5.667 | 0.000 |
| Accountability × Type of adviser | 0.404 | 0.384 | |||||
| Advice rationale @ Accountability = 1 | 2.223 | 0.000 a | 1.625 | 0.001 a | |||
| Advice rationale × Accountability × Type of adviser | −1.251 | 0.081 a | |||||
| Accountability @ Advice rationale = 1 | 1.088 | 0.021 a | 0.240 | 0.662 | |||
| Constant | 5.576 | 0.000 | |||||
| 248 | 129 | 119 | |||||
| 0.236 | 0.263 | 0.202 | |||||
Note(s): Results are obtained using regression analysis with robust standard errors. p-values are two tailed, except where used for hypothesis testing, marked with an a
The dependent variable, advice-taking is measured on an 11-point Likert scale; higher values on the variable represent more advice-taking from the human/algorithmic adviser (depending on the type of adviser condition)
Type of adviser is an indicator variable equal to 1 (0) when the adviser was an algorithm (when the adviser was a human)
Advice rationale is an indicator variable equal to 1 (0) when an advice rationale was present (absent)
Accountability is an indicator variable equal to 1 (0) when accountability is high (low)
Source(s): Authors’ own work
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