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A nominal variable, or nominal group, is a group of objects or ideas collectively grouped by a particular qualitative characteristic. [3] Nominal variables do not have a natural order, which means that statistical analyses of these variables will always produce the same results, regardless of the order in which the data is presented. [1] [3]
While Stevens's typology is widely adopted, it is still being challenged by other theoreticians, particularly in the cases of the nominal and ordinal types (Michell, 1986). [16] Duncan (1986), for example, objected to the use of the word measurement in relation to the nominal type and Luce (1997) disagreed with Stevens's definition of measurement.
In statistics, a categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. [1]
Such classification is usually done on a nominal scale. [1] Typologies are used in both qualitative and quantitative research. An example of a typology would be classification such as by age and health: young-healthy, young-sick, old-healthy, old-sick.
The data that all share a qualitative property form a nominal category. A variable which codes for the presence or absence of such a property is called a binary categorical variable , or equivalently a dummy variable .
An index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions. Examples include the variation ratio or the information entropy.
A Guttman scale may then be defined for a data set of n variables, with the j th variable having k j (qualitative, not necessarily ordered) categories, thus: Definition: Guttman scale is a data set for which there exists an ordinal variable, X , with a finite number m of categories, say, 1,..., m with m ≥ max j ( k j ) and a permutation of ...
Nominal-polytomous, where the respondent has more than two unordered options. The nominal scale, also called the categorical variable scale, is defined as a scale used for labeling variables into distinct classifications and does not involve a quantitative value or order. Ordinal-polytomous, where the respondent has more than two ordered options