Variables - kopio

The apples I bought cost half of the pears but they were two times tastier.
When studying a statistical data, you MUST be aware of what kind of variables are used. For example, program of a university student is usually marked with a number but the average of them does not mean anything.

Figure 2.1. Statistical variables

Figure 2.1. Statistical variables
Categorical variables divide observations in mutually exclusice groups (sex, opinion etc.) For example, the program of a university student is in a nominal scale, as it only divides students according their major. If groups could be sorted in a logical order, the variable is said to be in an ordinal scale. For example, education has a logical order: primary school, secondary school, tertiary level etc. Numerical variables are naturally real numbers:
  • If a property does not disappear at zero, when a variable is in an interval scale (temperature). Ratio of actual values have no meaning.
  • If the property "disapper" with the values 0, the variable is in a ratio scale. Ratio of actual values has a meaning: an object  A of 15 kg, an object  B of 45 kg => the object B on 3 times heavier than the object A. The unit of variables in an interval or in a ratio scale is not fixed. 
  • If the variable behaves like in a ratio scale BUT the unit is fixed, when the variable is in an absolute scale (the number of people).