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Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are not known. [1]: 2 These data exist on an ordinal scale, one of four levels of measurement described by S. S. Stevens in 1946.
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables. [1] Psychologist Stanley Smith Stevens developed the best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio.
Phrase completion scales are a type of psychometric scale used in questionnaires. Developed in response to the problems associated with Likert scales , phrase completions are concise, unidimensional measures that tap ordinal level data in a manner that approximates interval level data.
Scaling of data: One of the properties of the tests is the scale of the data, which can be interval-based, ordinal or nominal. [3] Nominal scale is also known as categorical. [6] Interval scale is also known as numerical. [6] When categorical data has only two possibilities, it is called binary or dichotomous. [1]
Four types of response scales for closed-ended questions are distinguished: Dichotomous, where the respondent has two options. The dichotomous question is generally a "yes/no" close-ended question. This question is usually used in case of the need for necessary validation. It is the most natural form of a questionnaire.
In fact, there may also appear phenomena which even question the ordinal scale level in Likert scales. [21] For example, in a set of items A, B, C rated with a Likert scale circular relations like A > B, B > C and C > A can appear. This violates the axiom of transitivity for the ordinal scale.
An example of a composite measure is an IQ test, which gives a single score based on a series of responses to various questions. Three common composite measures include: indexes - measures that summarize and rank specific observations, usually on the ordinal scale; [1]
Scaled questions – Responses are graded on a continuum (e.g.: rate the appearance of the product on a scale from 1 to 10, with 10 being the most preferred appearance). Examples of types of scales include the Likert scale, semantic differential scale, and rank-order scale. (See scale for further information)