What is the difference among non-orderable discrete orderable discrete continuous variables?

Answer 1

A non-orderable discrete variable is usually one for which the information that is recorded can only have a finite number of qualitative outcomes and that there is no relevant ordering of these outcomes. One example might be favourite fruit. Although the responses can be ordered alphabetically, or by mass of typical specimen, these are not relevant ordering schemes. An orderable discrete variable is one in which there is a relevant basis for ordering the outcomes. An example might be shoe sizes which, in the UK, go ... 6.5, 7, 7.5, 8, 8.5, 9, ... .The ordering reflects how large the shoe is. A continuous variable is one which can take any possible value in the permitted range. A typical example is a person's height. Even though in recording the variable becomes discretised (eg 5ft 10" or 176 cm), the underlying variable is continuous.