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Statistics, experimentation, causal reasoning · insight-0019

When the total and every segment move in opposite directions, decompose rate and mix before concluding

Evidence type
practitioner heuristic
Difficulty
medium
Roles
Data analyst, Data scientist
Industries
aviation, banking, retail

Summary: situation, action, reason, boundary

  1. Situation

    Network load factor rose year on year while load factor fell on every individual route.

  2. Action

    Split the total change into a within-segment rate effect and a between-segment mix effect, and report both. Then ask which question the decision needs: route performance (use within-route rates) or network outcome (use the total).

  3. Reason

    An aggregate is a weighted average; when weights change, the total can move opposite to every component. The causal question, not the arithmetic, decides which view is right.

  4. Boundary

    Load factor, conversion, default rates, average fares and any KPI that aggregates segments with changing weights.

Symptom or risk

Leadership is told performance improved when the change came entirely from shifting capacity toward high-load routes, or the reverse.

Exceptions

When segment weights are stable, the total and segment trends agree and decomposition adds little.

Trade-offs

Decomposition adds a chart and an explanation; skipping it risks a confident wrong story.

Pitfalls

Choosing segments after the fact until the paradox appears or disappears.

Example

Hypothetical: shifting seats toward high-load intl-short routes can raise the network load factor while domestic and intl-short load factors both decline.

Lessons and concepts