JMP 14.0 Online Documentation (English)
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Multivariate Methods
•
Partial Least Squares Models
•
Statistical Details for the Partial Least Squares Platform
• Confidence Ellipses for X Score Scatterplot Matrix
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Confidence Ellipses for X Score Scatterplot Matrix
The Score Scatterplot Matrices option adds 95% confidence ellipses to the X Score scatterplots. The X scores are uncorrelated because both the NIPALS and SIMPLE algorithms produce orthogonal score vectors. The ellipses assume that each pair of X scores follows a bivariate normal distribution with zero correlation.
Consider a scatterplot for score
i
on the vertical axis and score
j
on the horizontal axis
.
The coordinates of the top, bottom, left, and right extremes of the ellipse are as follows:
•
the top and bottom extremes are +/-sqrt(var(score
i
)*z)
•
the left and right extremes are +/-sqrt(var(score
j
)*z)
where
z
= ((
n
-1)*(
n
-1)/
n
)*BetaQuantile(0.95, 1, (
n
-3)/2). For background on the z value, see Tracy et al. (
1992
).
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Help created on 7/12/2018