# Matthews Correlation Coefficient

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

INSTRUCTIONS: Enter the following:

• (TP)  This is the number of true positives.
• (FP)  This is the number of false positives.
• (TN)  This is the number of true negatives.
• (FN)  This is the number of 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: