Independent and dependent variables
Variables are properties or characteristics of some event,
object, or person that can take on different values or amounts
(as opposed to constants such as
pp which do not vary). 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 the "type of antidepressant".
Definition 1:
Independent variable
When a variable is manipulated by an experimenter
Definition 2:
Dependent 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.
Example 1
Can blueberries slow down aging?
A study indicates that antioxidants found in blueberries may
slow down the process of aging. In this study, 19-month old
rats (equivalent to 60-year old humans) were fed either
their standard diet or a diet supplemented by either
blueberry, strawberry, or spinach powder. After eight weeks,
the rats were given memory and motor tests. Although all
supplemented rats showed improvement, those supplemented
with blueberry powder showed the most notable improvement.
- What is the independent variable? (diet: blueberries or no
blueberries)
- What are the dependent variables? (memory test and
motor skills test)
More
information on the blueberry study
Example 2
Beta-carotene supplements have been thought to protect
against cancer. However, a study published in the Journal
of the National Cancer Institute suggests this is false. The
study was conducted with 39,000 women aged 45 and up. These
women were randomly assigned to receive a beta-carotene
supplement or a
placebo,
and their health was studied over their lifetime. Cancer
rates for women taking the beta-carotene supplement did not
differ systematically from the cancer rates of those women
taking the placebo.
-
What is the independent variable? (supplements:
beta-carotene or placebo)
-
What is the dependent variable? (occurrence of cancer)
Example 3
How bright is right?
An automobile manufacturer wants to know how bright brake
lights should be in order to minimize the time required for
the driver of a following car to realize that the car in front
is stopping and to hit the brakes.
-
What is the independent variable? (brightness of brake
light)
-
What is the dependent variable? (time to hit brake)
Levels of an Independent Variable
If an experiment compares an experimental treatment with a
control treatment, then the independent variable (type of
treatment) has two levels: experimental and control. If an
experiment were comparing five types of diets, then the
independent variable (type of diet) would have 5 levels. In
general, the number of levels of an independent variable is
the number of experimental conditions.
Qualitative and Quantitative Variables
An important distinction between variables is between
qualitative
and
quantitative
variables.
Definition 3:
Qualitative variable
Variables that express a qualitative attribute
Example
Some examples of qualitative variables are 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. Qualitiative variables are sometimes referred to as
categorical variables. Values on qualitative
variables do not imply order, they are simply categories.
Definition 4:
Quantitative variables
Variables that are measured in terms of numbers.
Example
Some examples of quantitative variables are height,
weight, and shoe size.
In the study on the effect of diet discussed
above, the independent
variable was type of supplement: none, strawberry, blueberry,
and spinach. The variable "type of supplement" is a
qualitative variable; there is nothing quantitative about
it. In contrast, the dependent variable "memory test" is a
quantitative variable since memory performance was measured on
a quantitative scale (number correct).
Discrete and Continuous Variables
Variables such as number of children in a household are
called
discrete variables.
Definition 5:
Discrete variable
Variable with possible scores of discrete points
on the scale.
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.
Definition 6:
Continous variable
Variable where the scale is continuous and not made
up of discrete steps.
Example
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.
Comments, questions, feedback, criticisms?
Discussion forum
Send feedback