| \(WOA = 0\) | Decline |
| \(WOA = 1\) | Adopt |
| \(0 < WOA < 1\) | Compromise |
A Dual-Hurdle-Based Meta-Analysis
Studies on advice taking often use a Judge Advisor System setup
Outcome metric commonly “Weight of Advice” (WOA)
\[ WOA = \frac{\left| \text{initial} - \text{final} \right|}{\left| \text{initial} - \text{advice} \right|} \]
| \(WOA = 0\) | Decline |
| \(WOA = 1\) | Adopt |
| \(0 < WOA < 1\) | Compromise |
WOA continuous metric, but often empirically see concentrations of values at 0 and 1
Typically are modeled with standard linear regression procedures
(Himmelstein, 2022)
Separates outcome into two phases:
Discrete
Decline, adopt, or compromise?
Categorical logit: estimates probability of each choice
Continuous
If compromise, how much?
Beta distribution: estimates continuous WOA between 0 and 1
(Himmelstein, 2022)
Makes WOA distributions like…
Can examine effects of predictors for both the categorical and continuous pieces
Captures variation at the item- and person-level
Present study: extend dual-hurdle model to meta-analytic context
(Himmelstein, 2022)
Used data collected for an advice-taking metaanalysis on gender effects (Kausel et al., 2024)
Removed cases that had missing data for WOA or any of the predictors
| Predictors | ||
| Trial-Level | Person-Level | Study-Level |
|---|---|---|
| ○ Advice Distance | ○ Age ○ Gender |
○ Almanac Item ○ Future Item ○ Expert Advisor ○ Student Population ○ Incentive |
(Kausel et al., 2024)
Distribution of WOA values as per the data and the model predictions
Distribution of WOA values as per the data and the model predictions
Added a categorical choice: Decline, Adopt, Midpoint, Compromise
Midpoint averaging common, could be relevant to include in model
Differences between student and non-student populations
Differences between incentivised and non-incentivised studies
Kausel, E.E., Ventura, S., Reyes, V. (November 2024). [Conference presentation]. Gender Differences in Advice Taking: A Meta-Analytic Path Model. Society of Judgement and Decision Making, New York, NY.
Himmelstein, M. (2022). Decline, adopt or compromise? A dual hurdle model for advice utilization. Journal of Mathematical Psychology, 110, 102695. https://doi.org/10.1016/j.jmp.2022.102695
This research was supported in part through research cyberinfrastructure resources and services provided by the Partnership for an Advanced Computing Environment (PACE) at the Georgia Institute of Technology, Atlanta, Georgia, USA. RRID:SCR_027619
Contact: jhelmer3@gatech.edu