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True-positive rate — Classifier Positive Likelihood Ratio Calculator

Classifier Positive Likelihood Ratio: Calculate true-positive rate from Positive likelihood multiplier, True-negative rate. Check the formula, input units and worked result on this page.

Enter your values

x
Formula symbol: lr. Required unit: x. Must be greater than zero.
%
Formula symbol: specificity. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999999.

Use a decimal point, without thousands separators.

Rates need the same class and data definition and a positive false-positive rate. Sampling uncertainty and suitability for new data are not calculated.
Example result
True-positive rate
80 %

The initial result uses the example values. Enter your own values and calculate again.

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How it works

True-positive rate is divided by false-positive rate to obtain the positive classification likelihood multiplier. This form solves for true-positive rate; enter the known quantities in Positive likelihood multiplier, True-negative rate.

Inputs and units
True-positive rate — Classifier Positive Likelihood Ratio Calculator · Inputs and units
InputExample valueWhat to enter
Positive likelihood multiplier4 xFormula symbol: lr. Required unit: x. Must be greater than zero.
True-negative rate80 %Formula symbol: specificity. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999999.
sensitivity = (lr * (100 - specificity))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Positive likelihood multiplier
4 x
True-negative rate
80 %

Complete example results

True-positive rate
80 %

Reading the result

The result solves for true-positive rate from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the true-positive rate result?

Rates need the same class and data definition and a positive false-positive rate. Sampling uncertainty and suitability for new data are not calculated.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: ncbi.nlm.nih.gov

Methods & accuracy

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