[R] Matching two series

[ONKELINX, Thierry]

Dear all,

I am struggling with a problem and I am hoping that somebody could point
me in the right direction. 
I am trying to match the locations of two peak patterns. A is the true
pattern. B is the measured pattern. Hence A and B have a very strong
linear relationship. The problem is that B can contain false positives:
peaks due to noise instead of the true pattern from A. An additional
problem is that some peaks from A could be missing in B.
So what I am looking for is a way to select the largest possible subsets
from A and B that give a good estimate of their relationship.

Here is some example data. Notice that both B's have a different length.
They should match both with A.

A <- c(50, 100, 145, 200, 204, 255, 300, 350, 364, 400, 460, 495, 500,
530, 565, 600, 650, 700)
B <- c(561, 622, 1050, 1290, 1574, 1594, 1613, 1910, 2165, 2438, 2520,
2706, 3013, 3182, 3203, 3343, 3496, 3645, 3844, 4026)
B <- c(573, 633, 671, 707, 1060, 1303, 1594, 1615, 1633, 1936, 2195,
2472, 2554, 2743, 3053, 3225, 3246, 3388, 3543, 3693, 3894, 4078)

Any suggestions?

Best regards,

Thierry

------------------------------------------------------------------------
----
ir. Thierry Onkelinx
Instituut voor natuur- en bosonderzoek / Research Institute for Nature
and Forest
Cel biometrie, methodologie en kwaliteitszorg / Section biometrics,
methodology and quality assurance
Gaverstraat 4
9500 Geraardsbergen
Belgium
tel. + 32 54/436 185
Thierry.Onkelinx at inbo.be
www.inbo.be

To call in the statistician after the experiment is done may be no more
than asking him to perform a post-mortem examination: he may be able to
say what the experiment died of.
~ Sir Ronald Aylmer Fisher

The plural of anecdote is not data.
~ Roger Brinner

The combination of some data and an aching desire for an answer does not
ensure that a reasonable answer can be extracted from a given body of
data.
~ John Tukey


Dit bericht en eventuele bijlagen geven enkel de visie van de schrijver weer 
en binden het INBO onder geen enkel beding, zolang dit bericht niet bevestigd is
door een geldig ondertekend document. The views expressed in  this message 
and any annex are purely those of the writer and may not be regarded as stating 
an official position of INBO, as long as the message is not confirmed by a duly 
signed document.