Question

In: Statistics and Probability

Provide one example for each of the four levels of measurement (nominal,ordinal,interval,ratio)

Provide one example for each of the four levels of measurement (nominal,ordinal,interval,ratio)

Solutions

Expert Solution

Data collected in a survey can be of four types: (a) Nominal (b) Ordinal (c) Interval (d) Ratio

(a) Nominal data

Here, the variable is essentially qualitative, and therefore can only be classified and counted. There is no particular order to the labels. The classification of the six colors of M&M’s milk chocolate candies is an example of the nominal data.

(b) Ordinal data

Here, the data is classified by sets of labels or names (high, medium, low) that have relative values. That is, the data can be ranked or ordered. Ratings (on a scale of 5) given by 2 tasters for a new brand of tea is an example of ordinal data.

(c) Interval data

Here, the data includes all the characteristics of the ordinal level, but, the difference between values is a constant size. An example of the interval level of measurement is temperature.

(d) Ratio data

Practically all quantitative data can be considered as ratio data. The ratio level is the “highest” level of measurement. Examples of the ratio data are wages, production quantities.

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