Relative standard error expresses standard error as a percentage of the estimated mean.
Relative Standard Error (RSE) Calculator
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Relative standard error
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Table of Contents
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What is Relative Standard Error (RSE)?
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How to Use This Calculator
- Enter or select Sample mean, Standard error.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
RSE (%) = standard error ÷ |mean| × 100
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Variables Explained
| Input | What it means |
|---|---|
| Sample mean | The arithmetic average or stated population mean used as a reference. |
| Standard error | Use the measured or stated value for this item, with the unit or category shown beside the field. |
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Worked Example
A mean of 50 with standard error 2 has RSE=4%.
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Why Use This Calculator?
Compare the relative sampling precision of estimates on different scales.
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Common Mistakes
- RSE is unstable near a zero mean and is not the same as relative standard deviation.
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Frequently Asked Questions
Does a calculated statistic prove a conclusion?
A statistic describes the supplied data under stated assumptions. Sampling design, missing observations and the suitability of the model still determine what can reasonably be concluded.
Should I include every observation?
Use the observations required by your study design and state any exclusion rule. Removing values only because they change the answer can bias the analysis.
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Sources & References
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