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15 Examples 286Note that the data for tree 1 has been selected by use of the !filter and !selectqualifiers. Also note the use of !PVAL so that the spline curve is properly predictedat the additional nominated points. These additional data points are required forASReml to form the design matrix to properly interpolate the cubic smoothingspline between knot points in the prediction process. Since the spline knot pointsare specifically nominated in the !SPLINE line, these extra points have no effecton the analysis run time. The !SPLINE line does not modify the analysis in thisexample since it simply nominates the 7 ages in the data file. The same analysiswould result if the !SPLINE line was omitted and spl(age,7) in the model wasreplaced with spl(age). An extract of the output file is1 LogL=-20.9043 S2= 48.470 5 df 0.1000 1.0002 LogL=-20.9017 S2= 49.022 5 df 0.9266E-01 1.0003 LogL=-20.8999 S2= 49.774 5 df 0.8356E-01 1.0004 LogL=-20.8996 S2= 50.148 5 df 0.7937E-01 1.0005 LogL=-20.8996 S2= 50.213 5 df 0.7866E-01 1.000Final parameter values 0.78798E-01 1.0000Approximate stratum variance decompositionStratum Degrees-Freedom Variance Component Coefficientsspl(age,7) 1.49 97.4813 12.0 1.0Residual Variance 3.51 50.1888 0.0 1.0Source Model terms Gamma Component Comp/SE % Cspl(age,7) 5 5 0.787457E-01 3.95215 0.40 0 PVariance 7 5 1.00000 50.1888 1.33 0 PAnalysis of Variance NumDF DenDF F_inc Prob7 mu 1 3.5 1382.80