# Variables

*… a core concept used in Quantitative Methods and Atlas104*

### Concept description

OnlineStatBook (link on right) defines variables as properties or characteristics of some event, object, or person that can take on different values or amounts (as opposed to constants … that do not vary).

OnlineStatBook describes the distinctions between:

- independent and dependent variables
- qualitative and quantitative variables
- discrete and continuous variables

###### Independent and dependent variables

“When conducting research, experimenters often manipulate variables. For example, an experimenter might compare the effectiveness of four types of antidepressants. In this case, the variable is “type of antidepressant.” When a variable is manipulated by an experimenter, it is called an **independent variable**. The experiment seeks to determine the effect of the independent variable on relief from depression. In this example, relief from depression is called a **dependent variable**. In general, the independent variable is manipulated by the experimenter and its effects on the dependent variable are measured.

###### Qualitative and quantitative variables

“An important distinction between variables is between qualitative variables and quantitative variables.** Qualitative variables** are those that express a qualitative attribute such as hair color, eye color, religion, favorite movie, gender, and so on. The values of a qualitative variable do not imply a numerical ordering. Values of the variable “religion” differ qualitatively; no ordering of religions is implied. Qualitative variables are sometimes referred to as categorical variables. **Quantitative variables** are those variables that are measured in terms of numbers. Some examples of quantitative variables are height, weight, and shoe size.”

###### Discrete and continuous variables

“Variables such as number of children in a household are called **discrete variables** since the possible scores are discrete points on the scale. For example, a household could have three children or six children, but not 4.53 children. Other variables such as “time to respond to a question” are **continuous variables** since the scale is continuous and not made up of discrete steps. The response time could be 1.64 seconds, or it could be 1.64237123922121 seconds. Of course, the practicalities of measurement preclude most measured variables from being truly continuous.”

**Atlas topic, subject, and course**

The Study of Quantitative Methods (core topic) in Quantitative Methods and Atlas104 Quantitative Methods.

###### Sources

Heidi Ziemer, OnlineStatBook, at http://onlinestatbook.com/2/introduction/variables.html, accessed 10 June 2017.

**Page created by:** Ian Clark, last modified 10 June 2017.

**Image:** Heidi Ziemer, OnlineStatBook, at http://onlinestatbook.com/2/introduction/variablesM.html, accessed 10 June 2017.