[R] measure smoothness

[Nordlund, Dan (DSHS/RDA)]

> -----Original Message-----
> From: r-help-bounces at r-project.org 
> [mailto:r-help-bounces at r-project.org] On Behalf Of Al Lelopath
> Sent: Tuesday, November 27, 2007 8:20 AM
> To: r-help at r-project.org
> Subject: [R] measure smoothness
> 
> I have 3 sets of Cartesian data, one is 'original' data and the other
> 2 are "smoothed"data. The smoothed data is the result of applying a
> smoothing algorithm to the original.One set of smoothed data is the
> 'old' algorithm and the other set is the 'new' algorithm.
> 
> Does R have the capability of telling me which data is "smoother"?
> 
> Example data (subsets of entire data set):
> 
> original:
> 61	1.419584402
> 62	1.487019923
> 63	1.436887012
> 64	1.39522855
> 65	1.455934713
> 66	1.51774951
> 67	1.603945531
> 68	1.67847891
> 69	1.559326003
> 70	1.57563213
> 71	1.591873853
> 
> old smoothed:
> 61	1.337874627
> 62	1.391745721
> 63	1.387506435
> 64	1.382959722
> 65	1.413494505
> 66	1.445366725
> 67	1.474782643
> 68	1.474782643
> 69	1.474782643
> 70	1.474782643
> 71	1.500106199
> 
> new smoothed:
> 61	1.399345513
> 62	1.416106263
> 63	1.451252527
> 64	1.486278253
> 65	1.505360173
> 66	1.522991093
> 67	1.535206073
> 68	1.546861126
> 69	1.589831189
> 70	1.608288145
> 71	1.620107467
> 

There is no way of answering this question without knowing what what your criterion/criteria for "smoother" is/are.

Dan 

Daniel J. Nordlund
Research and Data Analysis
Washington State Department of Social and Health Services
Olympia, WA  98504-5204