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Dear colleagues, I have used the attached "Outlier Rejection
procedure" for over 20 years to detect outlier data from acquired
thermo-structural tests.
I have tried, unsuccessfully, offering the procedure to AEDC (Arnold
Engineering Development Center) because I use one of the two
Outlier Detection Methods but they have not shown interest.
Therefore, I am donating it to the PTC Community.
The method is a simple average of the of AEDC's and Chauvenet's
Outlier detection methods criteria resulting in the formula:
C_ABC(n) = (C(n)_AEDC + C(n)_Chauvenet(n)/2
Where "n = sample size"
.Ultimately, entered the numerical results into TableCurve 2D
resulting in the formula provided in the attached workbook.
I have successfully used to determine the outlier of:
It is my hope that the community members will utilize the
ABC (AEDC-Banks-Chauvenet) Outlier Rejection Criterion.
to your particular applications.
Enjoy it ☺
---
References
The proposed ABC Outlier Detection Criterion is a result of the
interest inspired by the reference article and reading about the
life Leonhard Euler converting me into a maven or mavin).
who to seeks pass knowledge on to others. The word maven
comes from Hebrew, and it means one who understands, based
on an accumulation of knowledge”
You should post this here for much greater appreciation: https://community.ptc.com/t5/Mathcad/bd-p/PTCMathcad
This board is for new ideas for the Mathcad software itself.
I visited the site you recommended but I am not able to post
and only posted on this site.
Would you provide me with an alternative site which I might
be able to post this idea?
I should be noted that the ABC Outlier Rejection criterion I am
proposing may be made into a Mathcad software function.
Please advise, DJNewman
Well, a moderator moved it to where it should be.
DJNewman, thank you for informing me that the
ABC Outlier Rejection file has been moved to the
appropriate PTC site.
Best regards,
Julio
How does this compare/correlate with Peirce's criteria?
Dear Fred, thank you for sharing the data outlier Peirce criterion.
I would like to share a "File naming method" I utilize which makes it
easier to locate files in my PC.. Any file converted into PDF format
I include the name of the software as the first word to easily locate
the files by "Application name". An example I propose with this method
is epitomize by the renaming of your file in my PC as follows::
Mathcad - Peirce Outlier Rejection Criterion.mcdx
This file, when converted to Adobe appears as follows:
Mathcad - Peirce Outlier Rejection Criterion.pdf
You can see that during a search in our PCs, the first word
appearing in a file list is "The name of the software".
Regarding your recommendation to consider the Peirce Outlier
Rejection Criterion, henceforth, "the Peirce method". it is my intend
to consider my ABC Outlier Rejection Criterion as part of "a class
of outlier rejection criterion".
Essentially, the Non-Peirce criteria I mentioned in this response
are represented by LS (Least Squares) fit. The AEDC (Arnold
Engineering Development Center) is a -- Outlier rejection
criterion
The two (2) outlier criterion I utilized are "simple functions, C(n)"
where n is the "sample size" which for temperature data acquisition
is "Number of Thermocouple sensors" and for torque in a flange
assembly is "Number of bolts".
Fred, he Peirce method, does not provide a better estimation of
the effective three-sigma,. 3s, constant, C3S(n), compared to the
simple functions, C(n).
One of the rules of numerical methods is "Programming effectiveness"
which means "Use the simplest expressions in creating algorithms
especially data intensive processing such as in video animation"
for instance, addition and subtraction requires the least CPU
computational effort than multiplication and division. Another
example is the Horner's rule which in mathematics, the term
Horner's rule refers to a polynomial evaluation method named:
after William George Horner. simply stated, the rule transform a
nth-order polynomial, Pn(x, order) into a series of nested binomials
of the form (ai + xi) where i stands for index subscript.
Fred, hank you for your contributions to my understanding of outlier
rejection method.
Julio
I need to replace the file named: due to misspelled name:
"Mathcad - ABC (AEDC-Banks-Chauvenet) Outlier Removal Criterion"
to correct the misspelling of the name Chauvenet instead of Chauvenet. the
Please find attached the corrected file.
Thanks,
JCBanks