
The larger the proportion of cases in the mode of a nominal variable, the less the variation among the cases of that variable.The value of VR reflects the following logic:.VR = l - (proportion of cases in the mode).
Whenever possible, researchers try to reconceptualize nominal and ordinal variables and operationalize (measure) them with an interval scale. Measures suitable for nominal variables (discrete, non-orderable) would also apply to discrete orderable or continuous variables, orderable, but better alternatives are available. There is inconsistency in methods to measure dispersion for these variables, especially for nominal variables. In the great scheme of things, measuring dispersion among norminal or oridinal variables is not very important. we'll relate the various measures to measurement theory.Įasy-to-Understand Measures of dispersion for NOMINAL and ORDINAL variables. We'll proceed from the less important to the more important, and. This is not enough, and we'll discuss several statistics used to measure variation, which differ in their importance. it refers to the standard deviation as the "most commonly used" measure of dispersion. It mentions the minimum and maximum values as the extremes, and. The SPSS Guide contains only the briefest discussion of measures of dispersion on pages 23-24. VARIATION, or the more technical term, VARIANCE. Much of statistical explanation aims at explaining DIFFERENCES in observations - also known as. CIVIL STRIFE among countries: what accounts for differing amounts?.
CRIMES in cities: why are there differences in crime rates?.TURNOUT in voting: why do some states show higher rates than others?.Researchers want to know WHY some cases lie above average and others below average for a given variable:.Dispersion or "variation" in observations is what we seek to explain.In many ways, measures of central tendency are less useful in statistical analysis than measures of dispersion of values around the central tendency The dispersion of values within variables is especially important in social and political research because: Summary Statistics: Measures of Dispersion Lecture 11- Measures of Dispersion Path: /c10> Syllabus > Outline > Topicsand Readings > UnivariateStatistics