According to this: http://stats.oecd.org/glossary/detail.asp?ID=5519 They are the same.

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Posted on 2006-04-06

What's the difference between the two properties? They look identical to me.

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According to this: http://stats.oecd.org/glossary/detail.asp?ID=5519 They are the same.

trans: a is to b b is to c c is to d d is to e d is to f d is to g therefore b is to f

circularity sounds, well circular : a is to b b is to c c is to d therefore d is to a

I will again consider simpler version of his example..

If a -> b and b -> c, then

A) Circularity: c -> a

B) Transitivity: a -> c

So, the only difference is that the direction of carrying out the operation is interchanged.

Now, consider the example..

If 10 < 20, 20 < 30

Then

A) Circularity: 30 < 10.. which is certainly not true.. and hence, circularity fails

B) Transitivity: 10 < 30.. which is true and hence, transitivity holds

---

Harish

-In the general practical statistical terms, they are used interchangeably:

An index number property such that the algebraic product of the price index comparing period j with period i and the price index comparing period k with period j is equal to the price index that compares period k directly with period i.

http://unstats.un.org/unsd

-In grammar: circularity means if if it can generate a derivation tree in which some attribute is circularly defined; transitivity means having two different roles for the same word.

http://links.jstor.org/sic

http://www.citebase.org/cg

-In philosophy:

http://ocw.mit.edu/NR/rdon

http://prosblogion.ektopos

-In neural networks and AI and logical circuits, they tend to be fairly strictly different

http://www.vordenker.de/ic

http://72.14.203.104/searc

-Same in statistics(mathematics):

the difference becomes more apparent and can be complicated too. Circularity can be non-transitive.

http://www.smu.edu/statist

Circularity: goes in circles, more flexible

Transitivity: rather like one-way traffic, in any direction

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