Dear JMP Community,

I have a question for your advise.

Case Study:

1. We are measuring the surface contour of an object.

2. The object is 150 cm long.

3. There are 2 measurement method, called (Method A) & (Method B).

Below is a simple graph showing:

X-Axis (Discreet Integer) = The object length.

Y-Axis (Continuous Data) = The measurement of object contour (measured at each increment of X).

Questions:

How do I check check if there is any statistical difference between these 2 trend lines?

Take note, here we cannot do statistical test on 2 groups of data (on the measurement results alone between Method A &B) , since the data is tied to the specific length of the objects.

For example :

If the object surface is totally flat, the trend line recorded by both method (A and B) should be a flat line.

In my case, the object is curve (smiley face), so both method (A and B) shows a curve as in the graph.

Is there a method to check statistical difference for 2 or more non-linear trend lines?

Appreciate your thoughts on this. Thanks a lot.

B.r,

Chris