Correlations

Specification: Correlations. Analysis of the relationship between covariables. The difference between correlations and experiments. Analysis and interpretation of correlation, including correlation coefficients.

Correlational techniques are nonexperimental methods used to measure how strong the relationship is between two (or more) variables. In an experiment, the effect of an independent variable upon the dependent variable is measured; however, in correlational studies the movement and direction of co-variables in response to each other is measured. There is no claim of a cause and effect relationship, although after a correlational study has been conducted, further research will often be conducted to determine if one variable is in fact affecting the other.

 

A realworld example of this is seen with cigarettesmoking and lung cancer: first it was noticed that there was a positive correlation between the number of cigarettes smoked and the likelihood of developing lung cancer. Later, this research was extended and a cause and effect relationship was discovered between cigarettesmoking and lung cancer.

There are different types of correlation:

Correlation coefficient

A correlation coefficient is used to measure the strength and nature (positive or negative) of the relationship between two covariables. The correlation coefficient number represents the strength of the relationship and can range between 1.0 and +1.0. The nearer the number is to +1 or 1 the stronger the correlation. A perfect positive correlation has a correlation coefficient of +1 and for a perfect negative correlation it is 1.

Scattergram

A scattergram (sometimes called a scattergraph) is a graph that shows the correlation between two sets of data (covariables) by plotting points to represent each pair of scores. It indicates the degree and direction of the correlation between the covariables, one of which is indicated on the Xaxis and the other on the Y-axis.

Evaluation of correlational techniques

Correlational studies are an ideal place to begin preliminary research investigations. Since they measure the strength of a relationship between two (or more) variables, this can provide valuable insight for future research. This type of analysis can be used when a laboratory experiment would be unethical as the variables are not manipulated, merely correlated. In addition, secondary data can also be used in correlational studies which alleviates the concern over informed consent as the information is already in the public domain, e.g. government reports.

 

There are limitations associated with using the correlational method. It is not possible to establish a cause and effect relationship through correlating covariables. This means a researcher cannot conclude that one variable caused the other variable to increase/decrease as there could be other factors which influenced the relationship – referred to as the third variable problem. Moreover, correlations only identify linear relationships and not curvilinear. For example, the relationship between temperature and aggression is curvilinear, that is the relationship is positive to a point; however, at very high temperatures aggression declines.

Summary of correlational techniques

Possible exam questions

Revision materials