Research Wiki · Methods Lab

Correlation and association

Measures of the strength and form of association between variables, with careful separation from causation.

Methods family

Measures of the strength and form of association between variables, with careful separation from causation.

Use methods only after defining the estimand, data structure, assumptions, validation plan and decision consequence.

Pearson correlation

Pearson correlation measures the strength and direction of a linear association between two numeric variables. It is sensitive to outliers and does not establish causality.

Read the full entry →
Spearman rank correlation

Spearman correlation measures monotonic association using ranks rather than raw values. It is useful when relationships are non-linear but consistently ordered or when data are ordinal.

Read the full entry →
Kendall’s tau

Kendall’s tau is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Point-biserial correlation

Point-biserial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Phi coefficient

Phi coefficient is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Cramér’s V

Cramér’s V is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Tetrachoric correlation

Tetrachoric correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Polychoric correlation

Polychoric correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Read the full entry →
Partial correlation

Partial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Semi-partial correlation

Semi-partial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Canonical correlation

Canonical correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Distance correlation

Distance correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Mutual information

Mutual information is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Association-rule mining

Association-rule mining is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Lift and confidence

Lift and confidence is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Market-basket association analysis

Market-basket association analysis is a method within correlation and association. Measures of the strength and form of association between variables, with careful separation from causation. Its usefulness depends on data structure, assumptions, validation and whether the output answers the intended decision.

Browse linked method entries

Deep entry

Pearson correlation

Pearson correlation measures the strength and direction of a linear association between two numeric variables. It is sensitive to outliers and does not establish causality.

Open method
Deep entry

Spearman rank correlation

Spearman correlation measures monotonic association using ranks rather than raw values. It is useful when relationships are non-linear but consistently ordered or when data are ordinal.

Open method
Deep entry

Kendall’s tau

Kendall’s tau is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Deep entry

Point-biserial correlation

Point-biserial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Deep entry

Phi coefficient

Phi coefficient is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Deep entry

Cramér’s V

Cramér’s V is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Deep entry

Tetrachoric correlation

Tetrachoric correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Deep entry

Polychoric correlation

Polychoric correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Partial correlation

Partial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Semi-partial correlation

Semi-partial correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Canonical correlation

Canonical correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Distance correlation

Distance correlation is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Mutual information

Mutual information is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Association-rule mining

Association-rule mining is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Lift and confidence

Lift and confidence is a statistical or analytical concept within correlation and association. It should be selected for the data-generating process and decision question rather than because software makes it available.

Open method
Method definition

Market-basket association analysis

Market-basket association analysis is a method within correlation and association. Measures of the strength and form of association between variables, with careful separation from causation. Its usefulness depends on data structure, assumptions, validation and whether the output answers the intended decision.

Open method

Need the method applied to a live decision?

Share the market, customer, product or investment question that needs a defensible evidence design.

Brief Ninth Atlas