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Last Published February 28, 2025 10:40 AM August 01, 2025 04:41 PM
Planned Number of Observations 1,500 when analyzing individual-level outcomes. Up to 18,000 (1500 x 12) when analyzing individual-vote level outcomes. Initial intervention: 1,500 when analyzing individual-level outcomes. Up to 18,000 (1500 x 12) when analyzing individual-vote level outcomes. Medium-term effects and cross-topic intervention: 4,000 when individual-level outcomes. Up to 36,000 (4,000 x 9) when analyzing individual-vote level outcomes.
Sample size (or number of clusters) by treatment arms 1500: 300 for each reasoning condition; 500 for each monetary incentive condition. 1500: 300 for each reasoning condition; 500 for each monetary incentive condition. 4000: 2000 for each reasoning condition.
Power calculation: Minimum Detectable Effect Size for Main Outcomes 1. Argument Thoughtfulness score: Pilot data (non-registered pilot in September 2024) suggests a SD ≈ 2.28 on a 0–6 scale. With n=1,500, we can detect a mean difference of roughly 0.3–0.55 points (on 6-point scale) with 80% power. 2. Position Shift (Compromise): Pilot data (non-registered pilot in September 2024) suggests a SD ≈ 0.458 on a binary measure. With n=1,500, we can detect a mean difference of roughly 6-10 percentage points with 80% power. 1. Argument Thoughtfulness score: Pilot data (non-registered pilot in September 2024) suggests a SD ≈ 2.28 on a 0–6 scale. With n=1,500, we can detect a mean difference of roughly 0.3–0.55 points (on 6-point scale) with 80% power. 2. Position Shift (Compromise): Pilot data (non-registered pilot in September 2024) suggests a SD ≈ 0.458 on a binary measure. With n=1,500, we can detect a mean difference of roughly 6-10 percentage points with 80% power.
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