Correlation Aggregates

The correlation aggregates determine the relationship between elements.

• Matthews Correlation Coefficient (MCC): Provides a measure of the quality of binary classifications of a condition with observed versus predicted scoring.
• Pearson Correlation Coefficient (PCC): Determines the extent to which two variables are linearly related: positive, negative, or no relationship.
• Spearman's Correlation Coefficient (SCC): Determines how well the relationship between two variables can be described using a monotonic function.

The URI for the data science functions is <http://cambridgesemantics.com/anzograph/statistics#>. For readability, the syntax for each function below includes the prefix stats:, defined as PREFIX stats: <http://cambridgesemantics.com/anzograph/statistics#>.

Matthews Correlation Coefficient (MCC)

The Matthews correlation coefficient aggregate returns a coefficient value between observed and predicted binary classifications.

Syntax

stats:mcc(x, y)

Parameter	Type	Description
x	boolean	First variable column data.
y	boolean	Second variable column data.

Returns

Type	Description
double	Coefficient value that shows the extent to which observed and predicted binary classifications are related.

Pearson Correlation Coefficient (PCC)

The Pearson correlation coefficient aggregate determines the extent to which two variables are linearly related: positive, negative, or no relationship.

Syntax

stats:pcc(x, y)

Parameter	Type	Description
x	boolean	First variable column data.
y	boolean	Second variable column data.

Returns

Type	Description
double	Coefficient that shows the extent to which two variables are linearly related.

Spearman's Correlation Coefficient (SCC)

The Spearman's rank correlation coefficient aggregate determines how well the relationship between two variables can be described using a monotonic function.

Syntax

stats:scc(rank_X, rank_Y)

Parameter	Type	Description
rank_X	double	First set of ranked data.
rank_Y	double	Second set of ranked data.

Returns

Type	Description
double	Coefficient between ranked datasets.