Statistics » Measurement scales

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Nominal
Ordinal
Interval
Ratio
Qualitative or quantitative and discrete or continuous

NominalOrdinalIntervalRatio
categoriescategoriescategoriescategories
orderorderorder
equal differencesequal differences
natural zero

Nominal

If a variable is only a distinction between different categories, then there is a nominal measurement scale. In that case the values of the variable can be indicated with names or categories, so that they can be distinguished from each other.
Examples are gender, places or your favourite food.

Ordinal

If, in addition to a distinction, a sequence can also be indicated, then there is an ordinal measurement scale.
Examples are 'Agree, neutral, disagree' or the star system used for hotels.
With ordinal data, you are able to use numbers, like in the example of the star system for the hotels. However, there is no equal difference between the number of stars.

Interval

If in a variable there is a distinction, an order and a equal difference between values there is an interval scale. There is no natural zero, so no ratio. There can be a zero, but it is chosen. The zero does not point to an absence.
Examples are the year we live in, times and temperature.
In these examples there is no ratio because when it is 30 °C outside, it is not twice as warm as when it is 15 °C.

Ratio

With this measurement scale you have all the properties mentioned above (category, order and equal differences) and a natural zero. The natural zero points to an absence. So if a variable has all four, there is a ratio scale.
Examples are age, weight and amounts of money.
Now there is a ratio because something weighing 40 kg is twice as heavy as something of 20 kg.

Qualitative or quantitative and discrete or continuous

Variables 'measured' on a nominal or ordinal scale are also called qualitative, discrete, categorical or attributive variables.
Variables measured on an interval or ratio scale are also called quantitative or continuous variables.


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