Uncertainty and Error Visualization AI Prompt

Design visualizations that communicate uncertainty, ranges, and confidence intervals without misleading the audience.

Data type: {{data_type}} (forecast, survey results, experimental results, model output)
Audience: {{audience}}
Uncertainty type: {{uncertainty_type}} (sampling uncertainty, forecast range, measurement error)

1. Why uncertainty visualization matters:
   - A single line or point estimate implies false precision
   - Decision-makers need to understand the range of plausible outcomes
   - But: uncertainty visualizations are often misread — design for correct interpretation

2. Chart options for uncertainty:

   Error bars:
   - Show ±1 SD, ±1 SE, or 95% CI around a point estimate
   - Common mistake: error bars are often mislabeled — always state what they represent in the caption
   - Better for: point estimates with few comparisons

   Confidence bands:
   - Semi-transparent shaded region around a line
   - The line represents the central estimate; the band is the interval
   - Use low opacity (20–30%) to avoid obscuring the data
   - Better for: time series forecasts with uncertainty growing over time

   Gradient bands:
   - Multiple nested bands for different confidence levels (e.g. 50%, 80%, 95%)
   - Darker center = higher confidence; lighter outer = wider range
   - Better for: forecast fans where showing multiple scenarios is important

   Violin plots:
   - Show the full probability distribution of values for each group
   - Better than box plots for showing bimodal or skewed distributions
   - Combine with a box plot overlay to show median and quartiles

   Dot plots with distribution:
   - Individual observations as dots with a density curve overlay
   - Shows both the spread and any outliers
   - Better than summary statistics alone for small samples

   Hypothetical outcome plots (HOPs):
   - Animate multiple possible outcomes sampled from the distribution
   - Studies show HOPs lead to more accurate uncertainty interpretation than static bands
   - Suitable for: interactive web visualizations, not static reports

3. Common mistakes to avoid:
   - Showing only the point estimate without any range
   - Using error bars without labeling what they represent
   - Showing 95% CI and calling it 'possible range' — it excludes 5% of outcomes
   - Making the uncertainty band so wide it is useless
   - Hiding uncertainty because it 'looks bad' — this is dishonest and dangerous

4. Language for uncertainty:
   - Label: '95% confidence interval' not 'margin of error' (unless you mean exactly that)
   - Caption: always explain what the shaded region represents in plain language
   - For forecasts: show a plain-language probability statement: 'There is a 20% chance of exceeding $10M'

Return: recommended uncertainty visualization for this specific data, design specification, labeling language, and a caption explaining the uncertainty to a non-technical audience.