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
- :
- Variability Gauge - Gauge Studies - Linearity: How to understand the t-test prob...

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

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

Variability Gauge - Gauge Studies - Linearity: How to understand the t-test prob>|t|?

Oct 23, 2015 2:56 PM
(1655 views)

How can i say if a gauge is linear or not, by the result prob>|t|? I have the results, of prob>|t|, 0,2757 for the intercept, and 0,2639 for the slope.

Does it mean i can accept H0=0 ? How can i interpret these results? I am confused about what it means.

2 REPLIES 2

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

Re: Variability Gauge - Gauge Studies - Linearity: How to understand the t-test prob>|t|?

Ideally, you want to find a slope of zero. If the slope is significantly different from zero, you can conclude that there is a significant relationship between the size of the part or variable measured as a standard and the ability to measure. The null hypothesis is that the slope is 0. Your p-value is a good deal higher than 0.05 so you fail to reject the null hypothesis that the slope is 0.

The test for the intercept is useful only if the test on the slope fails to reject the hypothesis of slope = 0. You failed to reject the hypothesis so you are interested in this test. The test for the intercept is a test of bias. Again, your p-value is a good deal higher than 0.05 so you also fail to reject the null hypothesis that the intercept (bias) is 0.

There is a JMPer Cable article about this that you may find useful. http://www.jmp.com/content/dam/jmp/documents/en/newsletters/jmper-cable/26_winter_2010.pdf

"Instrument Measurement Linearity".

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

Re: Variability Gauge - Gauge Studies - Linearity: How to understand the t-test prob>|t|?

gucafg0: Just to reinforce tonya.mauldin0's phraseology regarding 'failure to reject the null hypothesis', you should NEVER 'accept' a null hypothesis using any inferential tests. All you can do with any inferential test is reject or fail to reject the null hypothesis. Failure to reject is not synonymous with acceptance...morally or statistically.