m. s. bartlett fitting straight line always three groups?

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Hello everybody
Does anybody know whether for bartlett method the samples will always divided in "only" three groups?

Bartlett method will be used to find linear regression curve in case x and y (y=f(x)) do have errors.

Thank you in advance
Regards idle63

Posted 28-Oct-13 12:44pm

idle63

Updated 30-Oct-13 9:32am

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Ron Beyer · Accepted Answer · 2013-10-30T10:04:00

Solution 1

A better place to ask a question like this is Wolfram Alpha[^], ao forum dedicated to math nerds like this one is dedicated to programming ~~nerds~~ gurus.

Posted 30-Oct-13 10:04am

Ron Beyer

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[no name] 30-Oct-13 16:58pm

Thanks a lot.

Karthik_Mahalingam 11-Jan-14 21:43pm

5!

Andreas Gieriet · Accepted Answer · 2014-01-11T12:10:00

Solution 2

I'm not familiar with that method, but my understanding from reading some online documentation (e.g. http://en.wikipedia.org/wiki/Bartlett's_method[^], http://math.mit.edu/linearalgebra/ila0403.pdf[^], etc.) I come to the following conclusion:

Bartlett's method basicalliy calculates a series of local "gravity points" per choosen segmentation (what you call groups, I guess).
Quote from Bartlett's Method[^]: "[...] It provides a way to reduce the variance of the periodogram in exchange for a reduction of resolution, compared to standard periodograms [...]"
Bartlett's method reduces the number of data points by this "gravity point" calculation - it does not calculate any regression curve.
To calculate the regression from the calculated "gravitiy points": Having two segments only does not take in consideration that there is noise (or "errors" as you name them) for the given nature of the problem. Taking three segments respects that fact.
Not sure if adding more segments (more "gravity points") give a better linear regression. I guess not, assuming each segment contains "sufficient" data points to calculate the "gravity point" of each segment.

For practical purposes, I think (guess) it is sufficient to make three segments only.

Cheers
Andi

Posted 11-Jan-14 12:10pm

Andreas Gieriet

Updated 11-Jan-14 12:17pm

v2

Comments

Karthik_Mahalingam 11-Jan-14 21:44pm

5!

Andreas Gieriet 12-Jan-14 6:34am

Thank you for your 5!
Cheers
Andi

Sergey Alexandrovich Kryukov 1-Apr-15 12:37pm

Karthik,

Congratulations with April 1st! :-)

I already invited Andi, and I would like to use the occasion to invite your (and everyone else, of course) to see my new 1 of April publication and have some fun:
Some Programming Approaches to "Neuro-Linguistic Programming".
Participation in this game in Comments and Discussions is especially encouraged.

This time, I put more effort in the work. The fun and mocking is supposed to be combined with quite serious hints, in a satical form, on how we can conduct our discussions, give and use advice, add references and use them, use critical thinking, learn and use our own brains.

Thank you.
—SA

[no name] 12-Jan-14 6:12am

Thank you very much for your help. Now I feel much more comfortable with the use of this method.
Regards, Bruno

Andreas Gieriet 12-Jan-14 6:35am

That's may layman's view. Hope it helps.
Cheers
Andi

[no name] 12-Jan-14 9:51am

No this is not an answer of a layman!
And it helps a lot. Thank you very much again.
Regards, Bruno

Sergey Alexandrovich Kryukov 1-Apr-15 12:38pm

5ed.
—SA

Andreas Gieriet 1-Apr-15 16:07pm

Thanks for your 5!
Cheers
Andi

[no name] 22-Jan-16 19:30pm

+5 after reading again, Bruno... the old idle63 :)

Andreas Gieriet 23-Jan-16 15:16pm

Hello Bruno,
thanks for your 5 (again?) ;-)
Cheers
Andi