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Fitted principal components curves for 
simulated data sets: (a) and (b) principal components curves 
and 
, (c) and (d) principal components curves 
and 
, (e) and (f) principal components curves 
and 
, (g) and (h) principal components curves 
and 
. Dotted lines denote true curves. Solid lines represent the averaged values of fitted curves. The upper and lower dashed lines are the 10% and 90% quantiles of the fitted values in 500 simulation studies.
