Correlation
Correlation describes the statistical relationship between variables and quantifies the direction and strength of association. It is a basic analysis tool for exploratory data analysis and feature selection.
Classification
- ComplexityMedium
- Impact areaTechnical
- Decision typeDesign
- Organizational maturityIntermediate
Technical context
Principles & goals
Use cases & scenarios
Compromises
- Misinterpretation can lead to inadequate decisions.
- Overreliance on correlation instead of further validation.
- Automated alerts based on correlation can generate false positives.
- Check distributions and use nonparametric measures when needed.
- Segment data to detect heterogeneous subgroups.
- Combine visual inspection with statistical tests.
I/O & resources
- Tabular measurement or transaction data
- Timestamps and contextual information
- Meta information about scales and units
- Correlation matrix (csv, json)
- Visualizations (heatmap, scatterplots)
- Interpretation and validation report
Description
Correlation describes the statistical relationship between two or more variables, quantifying the direction and strength of association. It is used for exploratory analysis, hypothesis generation and feature selection, but it does not establish causation and requires attention to sample size, outliers and non-linearity. Different measures (e.g., Pearson, Spearman) and visualizations help interpretation and communication.
✔Benefits
- Quick identification of potential relationships in large datasets.
- Supports feature selection and reduction of redundant variables.
- Easy to visualize and communicate (matrices, heatmaps).
✖Limitations
- Correlation cannot distinguish cause and effect.
- Linear measures miss non-linear relationships.
- Susceptible to outliers and biased samples.
Trade-offs
Metrics
- Average absolute correlation
Mean absolute value of pairwise correlations as a measure of overall dependence.
- Share of significant correlations
Percentage of correlations that are statistically significant.
- Multicollinearity index (VIF)
Measure to assess redundancy among predictors.
Examples & implementations
Pearson correlation in BI report
BI team uses Pearson correlation to show linear relationships between revenue and marketing spend.
Spearman for rank data
For non-linear ordinal metrics, Spearman correlation is used for more robust analysis.
Correlation matrix for feature selection
Data science project identifies redundant features via a correlation matrix prior to model training.
Implementation steps
Define data cleaning, normalization and outlier handling.
Select appropriate correlation measures (Pearson, Spearman, Kendall).
Compute pairwise correlations, create matrix and visualize.
Validate results, check contextual influences and document.
⚠️ Technical debt & bottlenecks
Technical debt
- Lack of metric standardization hinders comparability.
- No automated validation routines for correlation results.
- Insufficient documentation of data provenance and transformation steps.
Known bottlenecks
Misuse examples
- Platform team mutes alerts based on simple correlation and misses causal causes.
- Feature engineering drops predictive variables because they correlate with others without model tests.
- Reports claim 'correlation = cause' in management dashboards.
Typical traps
- Overlooking spurious correlations due to seasonality or common drivers.
- Ignoring differing time scales in time series.
- Failing to control for confounding variables.
Required skills
Architectural drivers
Constraints
- • Reliability depends on data quality.
- • Limited validity with small samples.
- • Not all relationships are linear or stationary.