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More generally, the independent variable is the thing that someone actively controls/changes; while the dependent variable is the thing that changes as a result. Thus independent variables act as catalysts for dependent variables. In other words, the independent variable is the "presumed cause", while dependent variable is the "presumed effect" of the independent variable.
 
More generally, the independent variable is the thing that someone actively controls/changes; while the dependent variable is the thing that changes as a result. Thus independent variables act as catalysts for dependent variables. In other words, the independent variable is the "presumed cause", while dependent variable is the "presumed effect" of the independent variable.
   
In [[design of experiments|experimental design]], an independent variable is a [[random variable]] used to define treatment groups.
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In [[design of experiments|experimental design]], an independent variable is a [[random variable]] used to define treatment groups.
   
 
== Examples ==
 
== Examples ==
   
The wages of an employee depend on the time worked. Time is the independent variable that varies among employees, and the wages are calculated directly from a specific amount of time. Thus wages are ''dependent'' on time worked.
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The wages of an employee depend on the time worked. Time is the independent variable that varies among employees, and the wages are calculated directly from a specific amount of time. Thus wages are ''dependent'' on time worked.
   
 
In a study of how different dosages of a [[medication|drug]] are related to the severity of [[symptom]]s of a [[disease]], a researcher could compare the varying symptoms (the dependent variable) for varying dosages (the independent variable) and attempt to draw a conclusion.
 
In a study of how different dosages of a [[medication|drug]] are related to the severity of [[symptom]]s of a [[disease]], a researcher could compare the varying symptoms (the dependent variable) for varying dosages (the independent variable) and attempt to draw a conclusion.
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When graphing a set of collected data, the independent variable is graphed on the ''x''-axis (see [[Cartesian coordinates]]).
 
When graphing a set of collected data, the independent variable is graphed on the ''x''-axis (see [[Cartesian coordinates]]).
   
In [[mathematics]], in [[functional analysis]], it was traditional to define the set of independent variables as the only set of variables in a given context which could be altered. For, even though any function defines a bilateral relation between variables, and it's even true that two variables might be connected by an implicit equation (for instance, cf. the definition of a circle, <math>x^2 + y^2 = R^2</math>), when computing derivatives it is nonetheless necessary to take a group of variables as "independent", or else the derivative has no meaning.
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In [[mathematics]], in [[functional analysis]], it was traditional to define the set of independent variables as the only set of variables in a given context which could be altered. For, even though any function defines a bilateral relation between variables, and it's even true that two variables might be connected by an implicit equation (for instance, cf. the definition of a circle, <math>x^2 + y^2 = R^2</math>), when computing derivatives it is nonetheless necessary to take a group of variables as "independent", or else the derivative has no meaning.
   
 
== See also ==
 
== See also ==
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* [[Statistical independence]]
 
* [[Statistical independence]]
   
 
[[Category:Experimental design]]
 
[[Category:Statistical variables]]
   
 
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{{enWP|Independent_variable}}
 
{{enWP|Independent_variable}}
[[Category:Experimental design]]
 
[[Category:Statistical variables]]
 

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