Acceptable Adjusted R Squared Value Comparing 2 Measurement Devices in Minitab

P

philiplim

Hi all,

I am comparing 2 different measuring equipments by using fitted line plot in Minitab. The adjusted R squared value is 62.6%. Are the 2 equipments correlated?

May I know the acceptable value for adjusted R squared percentage? I remember hearing people saying like 80% is considered correlated. Is that true?

Regards.
 
A

Allattar

Are you using Minitab 16?
If so then Orthogonal regression may be a better choice here.

You would want to enter the ratio of variances of the two measurement devices. This will run a fitted line plot with the assumption of variation in y and variation in x.

Personally I dislike the use of R-squared as a measure of goodness of fit. R-squared just indicates the amount of variation you can explain in the data. You can have a fit with a low R-squared. You could also inflate the R-squared by overfitting a model or by picking a very large range to measure across.
Better to consider the standard deviation of the response and the analysis of variance tables. Also check the residual plots as well.

The fitted regression equation will tell you how well the measurement systems work with respect to each other with the gradient and the intercept.
R-squared will tell you nothing of Bias between measurements nor gradient.
 
Miner

Miner

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Allattar said:
Personally I dislike the use of R-squared as a measure of goodness of fit. R-squared just indicates the amount of variation you can explain in the data. You can have a fit with a low R-squared. You could also inflate the R-squared by overfitting a model or by picking a very large range to measure across.
Click to expand...
I agree with everything else that you stated, and even this comment is true. However, the OP stated that they were using adjusted R-Squared. The adjusted R^2 has a penalty for over-fitting the model that reduces the value. I go more by the R^2 Predicted.
 
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