Question
How to Choose a Measure of Variation on the employment status of Parents (ordinal), access to satellite services (ratio), and educational Attainment (ordinal)? Using Figure
How to Choose a Measure of Variation on the employment status of Parents (ordinal), access to satellite services (ratio), and educational Attainment (ordinal)?
Using Figure 4.7, How to Choose a Measure of Variation, on p. 164 of Social Statistics for a Diverse Society, determine the correct measure of variability based on the levels of measurement for your variables from Week 1 and complete the following worksheet.
So far, we have considered five measures of variation: (1) the IQV, (2) the range, (3) the IQR, (4) the variance, and (5) the standard deviation. Each measure can represent the degree of variability in a distribution. But which one should we use? There is no simple answer to this question. However, in general, we tend to use only one measure of variation, and the choice of the appropriate one involves several considerations. These considerations and how they affect our choice of the appropriate measure are presented in the form of a decision tree in Figure 4.7. As in choosing a measure of central tendency, one of the most basic considerations in choosing a measure of variability is the variable's level of measurement. Valid use of any of the measures requires that the data are measured at the level appropriate for that measure or higher, as shown in Figure 4.7.
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