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# Levels of measurement: Nominal, Ordinal, Interval, Ratio

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Regarding four scales referring to levels of measurement: Nominal, Ordinal, Interval and Ratio.

Please pick one and discuss one level of measurement, and briefly describe how you would use that type of measurement in a study.

https://brainmass.com/statistics/hypothesis-testing/levels-of-measurement-nominal-ordinal-interval-ratio-295612

#### Solution Preview

Regarding four scales referring to levels of measurement: Nominal, Ordinal, Interval and Ratio. Please pick one and discuss one level of measurement, and briefly describe how you would use that type of measurement in a study.

Variables belong to one of the four categories: Ratio, Interval, Ordinal and Nominal. Let X represent a variable and X1, X2, X3 etc. the measurements of that variable.

RATIO SCALE:

If the ratio of two measurements (e.g. X1/ X2) and the difference between two measurements (e.g. X1-X2) ARE meaningful quantities, and if there is a natural ordering (ascending or descending) of these measurements (e.g. X1> X2> X3) then the variable belongs to the ratio scale.

Ratio Scale has a meaningful Zero Point. A meaningful zero point means that there is absence of the quantity being measured. Thus a weight of zero grams means that the body has no weight, a GDP growth rate of zero percent means that the GDP did not grow that year and so on. A meaningful zero point implies that the ratio of measurements have a meaning. It is possible to say how many times greater or smaller one measurement is when compared to another ...

#### Solution Summary

Discusses Nominal, Ordinal, Interval and Ratio levels of measurement.

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