In: Statistics and Probability
Correlation Research
When scientists passively observe and measure phenomena it is
called correlational research. Here, researchers do not intervene
and change behavior, as they do in experiments. In correlational
research, the goal is to identify patterns of relationships, but
not cause and effect. Importantly, with correlational research, you
can examine only two variables at a time, no more and no less.
So, what if you wanted to test whether spending money on others
is related to happiness, but you don’t have $20 to give to each
participant in order to have them spend it for your experiment? You
could use a correlational design—which is exactly what Professor
Elizabeth Dunn (2008) at the University of British Columbia did
when she conducted research on spending and happiness. She asked
people how much of their income they spent on others or donated to
charity, and later she asked them how happy they were. Do you think
these two variables were related? Yes, they were! The more money
people reported spending on others, the happier they were.
To find out how well two variables correlate, you can plot the
relationship between the two scores on what is known as a
scatterplot. Importantly, each dot provides us with two pieces of
information—in this case, information about how good the person
rated the past month (x-axis) and how happy the person felt in the
past month (y-axis). Which variable is plotted on which axis does
not matter.
The association between two variables can be summarized
statistically using the correlation coefficient (abbreviated as r).
A correlation coefficient provides information about the direction
and strength of the association between two variables.
With a positive correlation, the two variables go up or down
together. The r value for a positive correlation is indicated by a
positive number
A negative correlation is one in which the two variables move in
opposite directions. That is, as one variable goes up, the other
goes down The r value for a negative correlation is indicated by a
negative number—that is, it has a minus (–) sign in front of
it.
The r value of a strong correlation will have a high absolute value
(a perfect correlation has an absolute value of the whole number
one, or 1.00). In other words, you disregard whether there is a
negative sign in front of the r value, and just consider the size
of the numerical value itself. If the absolute value is large, it
is a strong correlation. A weak correlation is one in which the two
variables correspond some of the time, but not most of the
time.
The r value for a weak correlation will have a low absolute value.
If two variables are so weakly related as to be unrelated, we say
they are uncorrelated, and the r value will be zero or very close
to zero.
Experimental Research
Experiments are designed to test hypotheses (or specific statements
about the relationship between variables) in a controlled setting
in efforts to explain how certain factors or events produce
outcomes. A variable is anything that changes in value. Concepts
are operationalized or transformed into variables in research which
means that the researcher must specify exactly what is going to be
measured in the study. For example, if we are interested in
studying marital satisfaction, we have to specify what marital
satisfaction really means or what we are going to use as an
indicator of marital satisfaction. What is something measurable
that would indicate some level of marital satisfaction? Would it be
the amount of time couples spend together each day? Or eye contact
during a discussion about money? Or maybe a subject’s score on a
marital satisfaction scale? Each of these is measurable but these
may not be equally valid or accurate indicators of marital
satisfaction. What do you think? These are the kinds of
considerations researchers must make when working through the
design.
The experimental method is the only research method that can measure cause and effect relationships between variables. Three conditions must be met in order to establish cause and effect. Experimental designs are useful in meeting these conditions:
The independent and dependent variables must be related. In
other words, when one is altered, the other changes in response.
The independent variable is something altered or introduced by the
researcher; sometimes thought of as the treatment or intervention.
The dependent variable is the outcome or the factor affected by the
introduction of the independent variable; the dependent variable
depends on the independent variable. For example, if we are looking
at the impact of exercise on stress levels, the independent
variable would be exercise; the dependent variable would be
stress.
The cause must come before the effect. Experiments measure subjects
on the dependent variable before exposing them to the independent
variable (establishing a baseline). So we would measure the
subjects’ level of stress before introducing exercise and then
again after the exercise to see if there has been a change in
stress levels. (Observational and survey research does not always
allow us to look at the timing of these events which makes
understanding causality problematic with these methods.)
The cause must be isolated. The researcher must ensure that no
outside, perhaps unknown variables, are actually causing the effect
we see. The experimental design helps make this possible. In an
experiment, we would make sure that our subjects’ diets were held
constant throughout the exercise program. Otherwise, the diet might
really be creating a change in stress level rather than
exercise.
A basic experimental design involves beginning with a sample (or
subset of a population) and randomly assigning subjects to one of
two groups: the experimental group or the control group. Ideally,
to prevent bias, the participants would be blind to their condition
(not aware of which group they are in) and the researchers would
also be blind to each participant’s condition (referred to as
“double blind“). The experimental group is the group that is going
to be exposed to an independent variable or condition the
researcher is introducing as a potential cause of an event. The
control group is going to be used for comparison and is going to
have the same experience as the experimental group but will not be
exposed to the independent variable. This helps address the placebo
effect, which is that a group may expect changes to happen just by
participating. After exposing the experimental group to the
independent variable, the two groups are measured again to see if a
change has occurred. If so, we are in a better position to suggest
that the independent variable caused the change in the dependent
variable.
The major advantage of the experimental design is that of helping
to establish cause and effect relationships. A disadvantage of this
design is the difficulty of translating much of what concerns us
about human behavior into a laboratory setting.