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Univariate analysis

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Univariate analysis is the simplest form of quantitative (statistical) analysis. The analysis is carried out with the description of a single variable in terms of the applicable unit of analysis. For example, if the variable "age" was the subject of the analysis, the researcher would look at how many subjects fall into a given age attribute categories.

Univariate analysis contrasts with bivariate analysis – the analysis of two variables simultaneously – or multivariate analysis – the analysis of multiple variables simultaneously. Univariate analysis is commonly used in the first, descriptive stages of research, before being supplemented by more advanced, inferential bivariate or multivariate analysis.

A basic way of presenting univariate data is to create a frequency distribution of the individual cases, which involves presenting the number of cases in the sample that fall into each category of values of the variable. This can be done in a table format or with a bar chart or a similar form of graphical representation. A sample distribution table is presented below, showing the frequency distribution for a variable "age".

Age range Number of cases Percent
under 18 10 5
18–29 50 25
29–45 40 20
45–65 40 20
over 65 60 30
Valid cases: 200
Missing cases: 0

There are several tools used in univariate analysis; their applicability depends on whether we are dealing with a continuous variable (such as age) or a discrete variable (such as gender).

In addition to frequency distribution, univariate analysis commonly involves reporting measures of central tendency (location). This involves describing the way in which quantitative data tend to cluster around some value. In the univariate analysis, the measure of central tendency is an average of a set of measurements, the word average being variously construed as (arithmetic) mean, median, mode or other measure of location, depending on the context.

Another set of measures used in univariate analysis, complementing the study of the central tendency, involves studying the statistical dispersion. Those measurements look at how the values are distributed around values of central tendency. The dispersion measures most often involve studying the range, interquartile range, and the standard deviation.

See also

References

  1. ^ Earl R. Babbie, The Practice of Social Research", 12th edition, Wadsworth Publishing, 2009, ISBN 0-495-59841-0, p. 426-433
  2. Harvey Russell Bernard, Research methods in anthropology: qualitative and quantitative approaches, Rowman Altamira, 2006, ISBN 0-7591-0869-2, p. 549
  3. A. Cooper, Tony J. Weekes, Data, models, and statistical analysis, Rowman & Littlefield, 1983, ISBN 0-389-20383-1, pp. 50–51
  4. Dodge, Y. (2003) The Oxford Dictionary of Statistical Terms, OUP. ISBN 0-19-920613-9, p. 61
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