Upper and Lower Limits of Prediction Interval Calculator
Upper and lower limits of prediction intervals are crucial in statistical analysis, enabling us to estimate the range within which future observations are likely to fall. This calculator simplifies the process, providing instant results and visualizations.
- Enter your sample size.
- Select your desired confidence level.
- Click ‘Calculate’.
- View your results and chart below.
The calculation involves the standard deviation of the sample, the t-value corresponding to the desired confidence level, and the square root of the sample size. The formula is: Upper Limit = Sample Mean + (t-value * Standard Deviation / √Sample Size) and Lower Limit = Sample Mean – (t-value * Standard Deviation / √Sample Size).
| Confidence Level | t-value |
|---|---|
| 90% | 1.645 |
| 95% | 1.96 |
| 99% | 2.576 |
- Always use a representative sample size for accurate predictions.
- Consider the implications of different confidence levels on your results.
- Regularly update your calculations as new data becomes available.
What is a prediction interval?
A prediction interval is a range of values within which a future observation is likely to fall with a certain degree of confidence.
For more information, see the NIST Engineering Statistics Handbook.