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. Author manuscript; available in PMC: 2013 Oct 1.
Published in final edited form as: Stat Probab Lett. 2012 Jun 9;82(10):1807–1814. doi: 10.1016/j.spl.2012.06.002

Table 2.

Prediction mean squared errors for the Tecator data set for different type of varying coefficient models. Columns denoting PMSE(k) display PMSE values when the semi-metric dk is used. In each model, the best PMSE value is given in bold face. The overall best PMSE is underlined and bold faced.

Model PMSE(2) PMSE(1) PMSE(0)
Y = β0( Inline graphic) + X1β1( Inline graphic) + ε 2.72 5.55 8.82
Y = β0( Inline graphic) + X2β2( Inline graphic) + ε 1.80 1.41 2.28
Y = β0( Inline graphic) + X1β1 + X2β2 + ε 1.05 0.80 2.03
Y = β0( Inline graphic) + X1β1( Inline graphic) + X2β2 + ε 1.29 0.88 1.58
Y = β0( Inline graphic) + X1β1 + X2β2( Inline graphic) + ε 1.30 0.40 1.47
Y = β0( Inline graphic) + X1β1( Inline graphic) + X2β2( Inline graphic) + ε 0.99 0.56 1.48