Notes from ISO 11404
A datatype consists of 3 constructs –
...
However, the characterizing operations add the appropriate additional conditions. The field operations for rationals and reals mean that zero is the additive identity, and this is sufficient.
Units needed for Statistical Quantities:
- Finite population – a population for which it is possible to count its units
- Mean – the average of a set of numbers
- Total – sum of the values for some characteristic of all units
- Index – the change in some aggregate relative to the value of the aggregate at a reference period
- Ratio – result of dividing one measure by another
Statistical datatype families
- Nominal – unordered named categories
- Ordinal – nominal categories that are ordered
- Interval – quantitative data where differences between values are meaningful
- Ratio – interval data where a value of zero means absence of the quantity measured
Unit of measure – a definite magnitude, established by convention, and used as a standard for measurement (modified from Wikipedia)
Additional Definitions from Statistics Canada:
Standard Deviation and Variance – see http://f3apache1/tpv2alpha/alpha-eng.html?lang=eng
Definition for Sampling Variance – see section 3.4.1 of the following Statistics Canada publication: http://www.statcan.gc.ca/pub/12-587-x/12-587-x2003001-eng.pdf
Definition of Index and other terms – http://www.statcan.gc.ca/edu/power-pouvoir/glossary-glossaire/5214842-eng.htm#p
See 2017-03-10 Meeting notes for more definitions of some of these concepts.
XML Schema Datatypes for more on how to create definitions: https://www.w3.org/TR/xmlschema-2/