Matthews Correlation Coefficient

The Matthews Correlation Coefficient calculator computes the Matthews Correlation Coefficient between observed and predicted binary classifications.

INSTRUCTIONS: Enter the following:

• (TP)  True Positives
• (TN)  True Negatives
• (FP)  False Positives
• (FN)  False Negatives

Matthews Correlation Coefficient (MCC): The calculator returns the coefficient. 

The Math / Science

The Matthews Correlation Coefficient is used in machine learning as a measure of the quality of binary (two-class) classifications. It takes into account true and false positives and negatives and is generally regarded as a balanced measure which can be used even if the classes are of very different sizes. The MCC is in essence a correlation coefficient between the observed and predicted binary classifications; it returns a value between -1 and +1. A coefficient of +1 represents a perfect prediction, 0 no better than random prediction and -1 indicates disagreement between prediction and observation.

The formula for the Matthews Correlation Coefficient is: 

`"MCC"=(TP*TN-FP*FN)/sqrt((TP+FP)(TP+FN)(TN+FP)(TN+FN))`

where:

•  MCC is the Matthews Correlation Coefficient
• TP = true positives
• FP = false positives
• TN = true negatives
• FN = false negatives

Artificial Intelligence and Machine Learning Calculators

• Sigmoid Function
• Number of Nodes in a Hidden Layer of a Neural Network
• tanh (hyperbolic tangent)
• ReLU
• Signum
• Matthews Correlation Coefficient

References

Wikipedia (https://en.wikipedia.org/wiki/Matthews_correlation_coefficient)