Turn on suggestions

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

- JMP User Community
- :
- Discussions
- :
- Discussions
- :
- Prediction Interval for Poisson Distribution

Topic Options

- Start Article
- Subscribe to RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Printer Friendly Page

Highlighted
##

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Get Direct Link
- Email to a Friend
- Report Inappropriate Content

Prediction Interval for Poisson Distribution

Mar 15, 2019 12:13 AM
(222 views)

Dear JMP Communities,

I have data that are count/space.

In my case, (number of events occured / time). As such, it is naturally I would fit these data using Discrete Fit > Poisson.

Afterwards, JMP produces the fitted Poisson with results of Upper/Lower 95% Confidence Interval per below photo.

My question is : How do I get Upper/Lower 95% __ Prediction__ Interval?

Thanks for the pointer.

B.r,

Chris

3 REPLIES 3

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Get Direct Link
- Email to a Friend
- Report Inappropriate Content

Re: Prediction Interval for Poisson Distribution

I don't know which version you are using. Check the inverted red triangle menu next to the variable outline box

Here is an example script:

```
Names Default To Here( 1 );
dt = Open( "$SAMPLE_DATA/Quality Control/Airport.jmp" );
obj = Distribution( Column( :Delay ) );
obj << Fit Distribution( Poisson );
obj << Prediction Interval(0.95, 1);
```

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Get Direct Link
- Email to a Friend
- Report Inappropriate Content

Re: Prediction Interval for Poisson Distribution

Hi,

Thanks for looking into this question.

I am using JMP ver 14.

I do know there is a "Prediction Interval" option as you have pointed out.

The reason I am questioning that is because, you can see the Confidence Interval calculated are two totally different value (based on 95%).

In my example:

Confidence Interval 95% caculated (based on t density function) is 22.6 to 48.1.

Confidence Interval 95% calculated (based on Poisson density function) is 32.5 to 38.4.

Due to this, it makes me wonder that the Prediction Interval option as you have shown will calculate based on the t density function rather than Poisson.

Hope this brings the question clearly now.

B.r,

Chris

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Get Direct Link
- Email to a Friend
- Report Inappropriate Content

Re: Prediction Interval for Poisson Distribution

You are correct - the prediction interval for the lambda is not available in the Distribution platform. Equivalently, I fit an intercept-only Poisson loglinear regression model with the GLM platform to obtain the same estimates, but it does not provide prediction intervals either.

Learn it once, use it forever!