Structural Regression

• The variance of the residuals defined by the parameters of ordinary regression lines of m1 vs m2 and m2 vs. m1 is minimised.

• Limitations:

  • Cumbersome
  • The results are not easy to interpret
  • Provides a potentially new technique.

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Structural Regression

The variance of the residuals defined by the parameters of ordinary regression lines of m1 vs m2 and m2 vs. m1 is minimised.

Limitations:
Cumbersome

The results are not easy to interpret
Provides a potentially new technique.

Kendall's Robust line fit

Compute all possible slopes using all i-th and j-th m1-m2 pairs. Median of these slopes is the "slope of the line" and the intercept is median of m1-b*m2

Limitations
Masked points are problematic

Nearly vertical points are not acceptable (infinite slope)