# Ordinal Scale

An Ordinal Scale is an ordered set of ordinal numbers

**AKA:**Ordinal Sequence.- …

**Counter-Example(s):**- an Unordered Set.
- an Ordered Multiset.
- a Non-Finite Ordered Set.

**See:**Finite Ordered Set, Total Strict Ordered Set, Ordinal Number , Measurement Level

## References

### 2016

- (Collins English Dictionary, 2016) ⇒ ordinal scale. (n.d.) Collins English Dictionary – Complete and Unabridged, 12th Edition 2014. (1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014). Retrieved June 19 2016 from http://www.thefreedictionary.com/ordinal+scale
- (Statistics) statistics a scale on which data is shown simply in order of magnitude since there is no standard of measurement of differences: for instance, a squash ladder is an ordinal scale since one can say only that one person is better than another, but not by how much

### 2015

- http://en.wiktionary.org/wiki/ordinal_scale
- Noun
- 1. A scale whose values can be compared; formally, a scale whose set of values is totally ordered.

- Usage notes: An equivalent definition: A scale that defines a total preorder on the set of measured objects.

- Noun
- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Ordinal_scale
- An ordinal scale defines a total preorder of objects; the scale values themselves have a total order; names may be used like "bad", "medium", "good"; if numbers are used they are only relevant up to strictly monotonically increasing transformations (order isomorphism).

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Level_of_measurement#Ordinal_scale
- In this scale type, the numbers assigned to objects or events represent the rank order (1st, 2nd, 3rd etc.) of the entities assessed. An example of ordinal measurement is the results of a horse race, which say only which horses arrived first, second, third, etc. but include no information about times. Another is the Mohs scale of mineral hardness, which characterizes the hardness of various minerals through the ability of a harder material to scratch a softer one, saying nothing about the actual hardness of any of them.