Polynomial Trend Surface Analysis

  1. Aabel NG Overview
  2. Polynomial Tend Sirface of XYZ Data
  3. Polynomial Trend Surface Analysis of Matrix Data

Trend Surface of XYZ Data

  • This method requires three numeric variables representing X, Y, Z.
  • The analysis output includes the calculated trend grid, the XYZ estimates and residuals, and an ANOVA report for significance of regression of Kth-order polynomial trend surface.
Graphical Example

A Graphical Example of Applying Trend Surface Analysis to XYZ Data

(a)

Contour of XYZ Data

(b)

Matrix Plot of 3rd-order Trend Generated From XYZ Data

  • (a): An XYZ contour plot of data representing subsurface structural elevations of top of Pennsylvanian Lansig-Kansas City Group*.
  • (b): A contour plot of 3rd-order trend generated from the XYZ data in (a).

Matrix Plot of 3rd-order Trend Generated From XYZ Data

ANOVA Report for the Corresponding Trend Surface Regression

* Source of data: Davis, J.C. (2002). Statistics and Data Analysis in Geology, John Wiley & Sons, New York.