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Statistics Calculators ▶ Relative Risk Calculator

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**Table of Content**

The relative risk calculator assists in predicting the comparative risk of occurrence of exposed and control groups of the population.

The relative risk (RR) is the measure of the probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.

The association between the exposed and control variables can be calculated by the Relative Risk Calculator.

Now calculating relative risk RR allows you to predict the comparative risk of occurrence of a significant event (or outcome) of exposed and control groups.

The RR matrix is critical in the following situation:

- Relative risk is essential to measure when management is making critical decisions.
- To know the certain medicine or formula on the exposed population and controlled sample of the population.
- RR is the risk difference between the odd ratio correlation or association between the exposure and the outcome.

The result predicted by the RR interval calculator has a relative 95% confidence level to the actual event happening.

Let’s suppose a certain disease test is conducted on the exposed and controlled group. The dataset for the controlled group is 10 affected by the disease and 5 have no effect. For the controlled group result 7 affected 3 have no effect. Then calculate relative risk confidence interval of 95%.

Confidence level: 95%

Z-Score: 1.9600

Disease: 10

No Disease: 5

Disease: 7

No Disease: 3

The relative risk formula:

Relative Risk = \frac{c}{c + d}\

where:

a → Number of members of the exposed group who developed the disease

b → Number of members of the exposed group who didn’t develop the disease

c → Number of members of the control group who developed the disease

d → Number of members of the control group who didn’t develop the disease

RR= \frac{7}{7 +3 }

\(RR=\frac{0.66666666666667}{0.7}\)

Relative risk = 0.95238095238095

**Calculate the natural logarithm**

ln(RR)= = 0.95238095238095

**Calculate the square root term:**

\(text{Sqrt Term} = \sqrt{\frac{1}{a} + \frac{1}{c} – \frac{1}{a+b} – \frac{1}{c+d}}\)

**Calculate the lower bound:**

\(text{Lower Bound} = exp(-0.048790164169432 – (1.9600\times 0.27602622373694)\)

**Lower Bound = 0.554**

**Calculate the upper bound:**

\(text{Upper Bound} = exp(-0.048790164169432 + (1.9600\times 0.27602622373694)\)

**Upper Bound= 1.64**

The procedure of calculating the relative risk with our RR interval calculator requires the following values:

**Input:**

- Enter the exposed and controlled groups’ values
- Enter the confidence level
- Tap
**calculate**

**Output:**

- Relative Risk
- Lower bound
- Upper bound
- Step-by-step calculations

The RR of 0.5 means that the chance of a bad outcome is twice as likely to occur without the intervention. When the RR calculator indicates the risk is 1, then the relative risk calculation is unchanged.

The relative risk is also the ratio of the risk of an event in one group(controlled group) versus the risk of the event in the other group(exposed group). The RRR calculator is specially designed to find the Relative Risk Ratio of certain factors.

From the source of Wikipedia: Relative Risk

From the source of Bestpractice.bmj.com: Ratio of RR