Use to produce an interval estimate of a single observation, a sample of n observations, or the sample mean and standard deviation of a sample of n observations.
Prediction Interval for an Individual Observation
- From an open JMP data table, select Analyze > Distribution.
- Select one or more continuous variables from Select Columns, click Y, Columns (continuous variables have blue triangles), and click OK.
- From the Distributions report window, select Prediction Interval under the red triangle next to the variable name.
- Select the confidence level (1-alpha) and enter 1 for number of future samples. Choose Two-sided or One-sided interval. Here we chose 95% confidence and two-sided. JMP will add a table displaying the lower and upper bound of the Prediction Interval for an individual observation.
Note: Calculations are based upon the assumption of a normal distribution as an appropriate model for the population.
Interpretation:
It is estimated, with 95% confidence, that a randomly selected observation from this population will be between 17.34 and 23.45. Note: The prediction interval for the mean of n=1 is the same as that of an individual observation and there is no prediction interval for the standard deviation of n=1.
Prediction Intervals for a Sample of n Observations
- Follow steps 1-4 above choosing a n>1 for number of future samples. Here we chose 95% confidence, two-sided, and n=10. JMP will add a table displaying the lower and upper bound of the Prediction Interval for a sample of n=10 observations as well as the sample mean and standard deviation.
Note: Calculations are based upon the assumption of a normal distribution as an appropriate model for the population.
Interpretation:
It is estimated, with 95% confidence, that:
• 10 randomly selected observation from this population will all be between 15.87 and 24.92.
• The mean of the 10 observations will be between 19.31 and 21.49.
• The standard deviation of the 10 observations will be between 0.78 and 2.36.
Visit Basic Analysis > Distributions > Options for Continuous Variables > Prediction Intervals in JMP Help to learn more.