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Consider the variable, type of birth control practiced (e.g., an IUD, condoms, none, etc). Which measure...

Consider the variable, type of birth control practiced (e.g., an IUD, condoms, none, etc). Which measure of variability is best suited to describe variation in the distribution of this variable?

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Answer #1

Measure of variability

Here the variable of interest is a categorical variable. So we can't use popular variability measures like Variance or IQR. Instead we can use total sum of square as a measure of variability. Also one can use (Shannon's) entropy measure which gives the amount of information that the variable has.

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