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)