Free interactive learning tool

Simpson's Paradox Splitter

The same dataset can say "the metric is getting worse" in aggregate and "the metric is improving" inside every segment. Split the chart before you trust the headline.

Guess first commit before you split

Here's the pooled chart for an admissions trial: as investment rises, the overall success rate falls — the aggregate trend line slopes down. Now take those exact same points and split them into three segments (Enterprise, Mid-market, SMB). Which way does each segment slope?

Admissions trial one chart, two truths

🔒 Lock in your prediction above to unlock the split view.

Scatter plot demonstrating Simpson's paradox The combined data trends downward, while each separated segment trends upward.

Which conclusion survives?

Marketing says paid campaigns perform worse because the combined conversion rate is lower. Segmenting by device shows paid traffic beats organic on desktop and mobile.

Score 0 / 3

Aggregate first, decide last

A pooled chart is a starting point. If segment membership affects both the input and the output, the pooled slope can reverse the real within-group relationship.

Ask what changed in the mix

Simpson's paradox usually appears when the composition moves: more hard cases, more low-intent traffic, more senior roles, or more customers in a different cohort.

Use segments responsibly

Do not slice forever until you get a story you like. Segment on plausible causes, inspect group sizes, and report both the aggregate and the meaningful subgroup view.

One line to carry out of here: a pooled trend is a hypothesis, not a verdict — when the segment mix moves together with the metric, the aggregate can point the opposite way from every group inside it, so split before you decide.