X and Y error bars in X-Y Plot

robhanssen

For physical property correlation tests, we often measure two properties on a series of samples differentiated by a varying concentration of an additive. These two property measurements are repeated 5 times for each sample (at a set concentration). What I would like to do, is plot the two properties on a scatter plot and show the error bars for both properties by concentration.

 

In Excel, I would calculate mean, std.dev and the confidence interval. The confidence interval can then be used to set the size of the error bars in the X and Y direction.

 

JMP is bound to have a much better and more statistically sound mechanism for this, I hope? I've added some example files, to illustrate my intention. These are randomly generated data.

Dual Error bar example.xlsx

Dual Error bar example.jmp

ms

With some effort it can be done with Graph Builder in JMP 13 by plotting Y positioned at mean_X and X positioned at mean_Y on top of eachother but with different response axis settings. In the example below locally tranformed columns are used within Graph Builder (i.e. no need to change the data table). 

 

 

 

Here the script to reproduce it:

Graph Builder(
    Variables(
        X(:Property1),
        X(Transform Column("mean_Prop1", Formula(Col Mean(:Property1, :concentration))), Position(1)),
        Y(:Property2),
        Y(Transform Column("mean_Prop2", Formula(Col Mean(:Property2, :concentration))), Position(1)),
        Overlay(:concentration)
    ),
    Elements(
        Points(X(1), Y(2), Response Axis("X"), Summary Statistic("Mean"), Error Bars("Confidence Interval")),
        Points(X(2), Y(1), Response Axis("Y"), Summary Statistic("Mean"), Error Bars("Confidence Interval"))
    )
);