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189 lines
5.6 KiB
Markdown
189 lines
5.6 KiB
Markdown
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# GST
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Arduino library for Gold Standard Test metrics.
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## Description
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Note: **experimental**
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The GST library is an implementation of the **Gold Standard Test**.
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#### Links
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These sites describe the functions in more detail.
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- https://en.wikipedia.org/wiki/Sensitivity_and_specificity
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- https://en.wikipedia.org/wiki/Confusion_matrix
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#### Related
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- https://github.com/RobTillaart/Correlation
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- https://github.com/RobTillaart/GST - Golden standard test metrics
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- https://github.com/RobTillaart/Histogram
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- https://github.com/RobTillaart/RunningAngle
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- https://github.com/RobTillaart/RunningAverage
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- https://github.com/RobTillaart/RunningMedian
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- https://github.com/RobTillaart/statHelpers - combinations & permutations
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- https://github.com/RobTillaart/Statistic
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#### Performance
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The math functions are from pretty straightforward to rather complex.
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It is possible to optimize functions with intermediate values if needed.
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However the right way to optimize depends on the way the library is used.
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## Interface
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```cpp
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#include "GST.h"
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```
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See .h file for all functions. Many function exist in a long descriptive name and an acronym version. Here only the long names are given.
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For the definitions please check - https://en.wikipedia.org/wiki/Sensitivity_and_specificity or
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https://en.wikipedia.org/wiki/Confusion_matrix
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### Input functions
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These four numbers should all be set before output functions make sense.
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The parameter **value** is typical absolute value measured or counted.
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If the parameter is omitted, the default 0 will be used to reset the value.
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- **void setTruePositive(float value = 0)** set the internal TP value.
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- **void setTrueNegative(float value = 0)** set the internal TN value.
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- **void setFalsePositive(float value = 0)** set the internal FP value.
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- **void setFalseNegative(float value = 0)** set the internal FN value.
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- **void clearAll()** reset all the above to 0.
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In tests one often want to increase / change the numbers.
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This can be done with the **addTruePositive()** etc functions.
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After every addition all output functions can be called.
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- **float addTruePositive(float value)** increases the internal TP value.
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Use a negative value to decrease.
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Returns the new value of TP.
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- **float addTrueNegative(float value)** increases the internal TN value.
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Use a negative value to decrease.
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Returns the new value of TN.
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- **float addFalsePositive(float value)** increases the internal FP value.
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Use a negative value to decrease.
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Returns the new value of FP.
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- **float addFalseNegative(float value)** increases the internal FN value.
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Use a negative value to decrease.
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Returns the new value of FN.
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### Output functions I
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Basic output
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- **float getTruePositive()** returns internal TP.
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- **float getTrueNegative()** returns internal TN.
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- **float getFalsePositive()** returns internal FP.
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- **float getFalseNegative()** returns internal FN.
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- **float getTotal()** returns total of four numbers.
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- **float getActualPositive()**
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- **float getActualNegative()**
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- **float getTestedPositive()**
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- **float getTestedNegative()**
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- **float sensitivity()** equals truePositiveRate().
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- **float specificity()** equals trueNegativeRate()
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**Rate** functions can be multiplied by 100.0 to get percentage.
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- **float truePositiveRate()** returns value between 0.0 and 1.0
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- **float trueNegativeRate()** returns value between 0.0 and 1.0
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- **float falseNegativeRate()** returns value between 0.0 and 1.0
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- **float falsePositiveRate()** returns value between 0.0 and 1.0
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### Output functions II
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These output functions are the more 'complex' functions.
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Read the Wikipedia pages for their uses.
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- **float positivePredictiveValue()**
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- **float negativePredictiveValue()**
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- **float falseDiscoveryRate()**
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- **float falseOmissionRate()**
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- **float positiveLikelihoodRatio()**
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- **float negativeLikelihoodRatio()**
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- **float prevalenceThreshold()**
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- **float threatScore()**
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- **float criticalSuccessIndex()**
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- **float prevalence()**
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- **float accuracy()**
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- **float balancedAccuracy()**
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- **float F1Score()**
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- **float MatthewsCorrelationCoefficient()**
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- **float FowlkesMallowsIndex()**
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- **float BookmakerInformedness()**
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- **float markedness()**
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- **float deltaP()**
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- **float diagnosticOddsRatio()**
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## Future
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#### Must
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- improve documentation
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#### Should
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- add functions
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- percentage functions for TP TN FP and FN?
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- test
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- complete the CI test coverage.
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#### Could
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- examples
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- add real life examples.
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- combination with a sensor? batch testing?
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#### Wont
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## Support
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If you appreciate my libraries, you can support the development and maintenance.
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Improve the quality of the libraries by providing issues and Pull Requests, or
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donate through PayPal or GitHub sponsors.
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Thank you,
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