THE RESULT
What the data shows
The largest computed metric is 0.4547 for fly_ash / superplasticizer; the smallest is -0.6871 for water / superplasticizer. Metric: rho (Spearman correlation).
Mixture components are constrained jointly. Pairwise correlation does not show that one measurement can safely replace another.
| pair | rho | absolute rho |
|---|---|---|
| water / superplasticizer | -0.6871 | 0.6871 |
| fly_ash / superplasticizer | 0.4547 | 0.4547 |
| cement / fly_ash | -0.4184 | 0.4184 |
| slag / coarse_aggregate | -0.348 | 0.348 |
| water / fine_aggregate | -0.3458 | 0.3458 |
| slag / fine_aggregate | -0.2965 | 0.2965 |
| fly_ash / water | -0.2831 | 0.2831 |
| cement / slag | -0.2504 | 0.2504 |
| slag / fly_ash | -0.2473 | 0.2473 |
| water / coarse_aggregate | -0.2185 | 0.2185 |
| superplasticizer / coarse_aggregate | -0.1986 | 0.1986 |
| cement / fine_aggregate | -0.1736 | 0.1736 |
THE METHOD
From source to answer
Pairwise Spearman associations across mix ingredients and curing age.
The Python source exposes this study’s transformations. The complete project download includes shared preparation and evaluation routines.
THE NEXT DECISION
What follows from the finding
Inspect redundancy before simplifying a measurement or modeling workflow.
Where the conclusion stops
Laboratory observations do not certify a construction mix. Composition and curing conditions are confounded. Models require independent engineering validation and cannot replace strength testing.
Related studies may reuse observations or holdouts. These are historical analyses; associations and backtests do not demonstrate commercial impact. Further model tuning needs new, untouched evaluation data.