Julio Banks proposes - Mathcad - ABC (AEDC-Banks-Chauvanet) Outlier Removal Criterion

Well, a moderator moved it to where it should be.

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