| Field | Before | After |
|---|---|---|
| Field Last Published | Before August 18, 2025 09:47 PM | After August 20, 2025 04:48 PM |
| Field Planned Number of Observations | Before Moral wiggle room: 460 to 800 Dice rolling game: 600 to 900 Total: 1060 - 1700 | After Moral wiggle room: 460 to 800 Dice rolling game: 600 to 900 Total: 1060 - 1700 Binary Dictator Game: 320 to 720 |
| Field Sample size (or number of clusters) by treatment arms | Before At least 170 subjects for the two main treatment arms Pre-Belief and Post-Belief conditions in the moral wiggle room game. At least 60 in the Full Information and Self/Self condition. At least 150 subjects per treatment arm in the dice rolling game with 4 treatment arms. Higher N depends on budget constraints | After At least 170 subjects for the two main treatment arms Pre-Belief and Post-Belief conditions in the moral wiggle room game. At least 60 in the Full Information and Self/Self condition. At least 150 subjects per treatment arm in the dice rolling game with 4 treatment arms. Higher N depends on budget constraints At least 320 subjects for the binary dictator game with at least 80 for the 2 by 2: Belief First / Belief After and Option A and Option B framing. |
| Field Power calculation: Minimum Detectable Effect Size for Main Outcomes | Before Moral Wiggle Room Game In line with Dana, Weber, and Kuang 2007, with a conservative assumption of a 20 percentage point treatment effect (e.g. 60% versus 40% ignorance), then a power analysis for a two-sided test with an alpha of 0.05 and a power of 0.80 indicates about 97 participants per group. However, based on a previous study's exploratory findings, the difference may be as much as 30 percentage point, allowing for reliable detection with about 50 participants. A total of 3 treatment arms between experiments approximated to a target of about 100 to 125 participants per arm (300 to 375 total), depending on the power. Amendment 8.7.2025: A 15 percentage point treatment effect (e.g. 50% ignorance versus 35% ignorance), then a power analysis for a two-sided test with an alpha of 0.05 and a power of 0.80 indicates about 169 participants per group. Dice Rolling Game The goal is to test whether the distribution of reported outcomes in each group differs from the uniform distribution, and whether treatment affects that distribution. Based on Fischbacher and Föllmi-Heusi 2013 who recruited 265 subjects, a Chi-square test with a medium effect size between of 0.20 requires a minimum sample size of about 198 participants per treatment arm, rounding up to 200 in case of missing data or incomplete subject responses. | After Moral Wiggle Room Game In line with Dana, Weber, and Kuang 2007, with a conservative assumption of a 20 percentage point treatment effect (e.g. 60% versus 40% ignorance), then a power analysis for a two-sided test with an alpha of 0.05 and a power of 0.80 indicates about 97 participants per group. However, based on a previous study's exploratory findings, the difference may be as much as 30 percentage point, allowing for reliable detection with about 50 participants. A total of 3 treatment arms between experiments approximated to a target of about 100 to 125 participants per arm (300 to 375 total), depending on the power. Amendment 8.7.2025: A 15 percentage point treatment effect (e.g. 50% ignorance versus 35% ignorance), then a power analysis for a two-sided test with an alpha of 0.05 and a power of 0.80 indicates about 169 participants per group. Dice Rolling Game The goal is to test whether the distribution of reported outcomes in each group differs from the uniform distribution, and whether treatment affects that distribution. Based on Fischbacher and Föllmi-Heusi 2013 who recruited 265 subjects, a Chi-square test with a medium effect size between of 0.20 requires a minimum sample size of about 198 participants per treatment arm, rounding up to 200 in case of missing data or incomplete subject responses. Amendment 8.20.2025 Based on a .6 prosocial rate from the Full Info condition from the Moral Wiggle Room game, to detect a 10pp gap (0.7 prosocial rate), a total of about 180 subjects per treatment and frame is expected at a power of 0.80. |
| Field | Before | After |
|---|---|---|
| Field Document | Before |
After
Belief_Elicitation_as_Behavioral_Design__Forecasting_Others__Actions_Reduces_Moral_Wiggle_Room_Pre_registration.pdf
MD5:
70d350a58cd177cc0ac98ee749e2d2e9
SHA1:
1d02c78356e1e700868be766a6571bfb151fa5a1
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| Field Title | Before | After Version 4 |