Variable and attribute (research)

In science and research, an attribute is a quality of an object (person, thing, etc.).^[1] Attributes are closely related to variables. A variable is a logical set of attributes.^[1] Variables can "vary" – for example, be high or low.^[1] How high, or how low, is determined by the value of the attribute (and in fact, an attribute could be just the word "low" or "high").^[1] (For example see: Binary option)

While an attribute is often intuitive, the variable is the operationalized way in which the attribute is represented for further data processing. In data processing data are often represented by a combination of items (objects organized in rows), and multiple variables (organized in columns).

Values of each variable statistically "vary" (or are distributed) across the variable's domain. A domain is a set of all possible values that a variable is allowed to have. The values are ordered in a logical way and must be defined for each variable. Domains can be bigger or smaller. The smallest possible domains have those variables that can only have two values, also called binary (or dichotomous) variables. Bigger domains have non-dichotomous variables and the ones with a higher level of measurement. (See also domain of discourse.)

Semantically, greater precision can be obtained when considering an object's characteristics by distinguishing 'attributes' (characteristics that are attributed to an object) from 'traits' (characteristics that are inherent to the object).