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In: Math

why do we need to consider the level/scale of measurement?

why do we need to consider the level/scale of measurement?

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Expert Solution

Please do the comment if there is word limit for this question I can make changes accordingly.

Level of measurement (Scale of measurements) is a classification that describes the nature of the information within the values assigned to variables.

The four data levels of measurement are nominal, ordinal, interval, and ratio. The level of measurement is considered because each of the levels of measurement provides a different level of detail for example Nominal delivers the least amount of detail, ordinal delivers the next highest amount of detail, and interval and ratio give the most amount of detail.

The second reason to consider levels of measurement is to know as there are different statistical tests are used with different levels of measurements. For example, Nominal variables used to do cross-tabulations, and chi-square test can be performed on a cross-tabulation of nominal data. The Mann-Whitney U test is most suitable for an ordinal level dependent variable and a nominal level independent variable. An interval variable is used to find the commonly used statistical measures such as the mean, standard deviation, and the Pearson correlation coefficient.


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