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Correlation in Matched Pairs Platform
Hi,
What does the parameter Correlation in the Matched Pairs Platform represent?
I have attached a screeshot from the JMP help website.
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Re: Correlation in Matched Pairs Platform
Hi @bbenny7,
The parameter "Correlation" represents the calculated correlation between pairs of measurements (in the screenshot, between the two responses "Tympanic" and "Oral" measured on the same subjects, hence the "Matched Pairs" analysis).
You'll find your answer in the following JMP Help section : Statistical Details for the Correlation of Responses
Hope this answer will help you,
"It is not unusual for a well-designed experiment to analyze itself" (Box, Hunter and Hunter)
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Re: Correlation in Matched Pairs Platform
I also have the same question this week. That link is helpful for visual but doesn't give an equation for the matched pair correlation number.
It also seems to imply that the matched pairs correlation number should be related to the Rsq of a linear regression but when I compare the two on my data, they are very different. For example a dataset with poor Rsq (1 data point not following linear trend) still has a strong matched pair correlation #.
Anywhere suggestions where to look for the details on the equation? Thanks!!
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Re: Correlation in Matched Pairs Platform
Hi @kasias,
R² (coefficient of determination) and R (correlation coefficient) are two different things, evaluating different aspects with different equations.
- R² relates to the proportion of explained variance by a model, and the equation can be found here : Statistical Details for the Summary of Fit Report
- R relates to the strength of the linear relationships between two variables : Multivariate Platform Options
Using the same Therm.jmp dataset as in the example or here : Example of Comparing Matched Pairs, I can find the same correlation coefficient than in the Matched Pairs analysis platform between the two responses with the Multivariate platform, estimating correlations in a row-wise manner :
So the correlation coefficient used in the Matched Pairs analysis is the Pearson Product-Moment Correlation.
Hope this answer will clear any doubts,
"It is not unusual for a well-designed experiment to analyze itself" (Box, Hunter and Hunter)
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Re: Correlation in Matched Pairs Platform
oh great! that's what I was looking for. Thank you!!
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Re: Correlation in Matched Pairs Platform
Usually you can get such information from the help page (sometimes it though isn't easy), in this case maybe it is explained here
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Re: Correlation in Matched Pairs Platform
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Re: Correlation in Matched Pairs Platform
Hi @bbenny7 : No, there is no such requirement on the correlation (it is what it is).