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Nominal scale

                  The nominal  scale is the simplest form of measurement.  It
               is simply a system of assigning numerical symbols to events to
               label them. It is the grouping of objects or people without any
               specific quantitative relationship between the categories. Nominal
               scales are adopted for the labelling of non-quantitative variables
               (containing  no  numerical  implications)  that  are  unique  and
               different  from  each  other.  Nominal  scales  classify  members  of       ◆ Description
               a population into 2 or more categories. The categories must be
               mutually exclusive and exhaustive, that is, each and every one of
               the members of the population must be capable of being classified
               in one and only one category. Nominal scales have no arithmetical
               properties. No category is greater or less than any other category.

               Category values  are simply names (hence the term nominal). The
               only mathematical statements that can be made about nominal data
               consist of relative comparisons between the numbers of members
               of the population in each category, called proportions.
                  In nutshell nominal scale has the following properties:

                    ◆ The system of empirical relations consists only of different
                    classes. There is no notion of ordering between the classes.

                    ◆ Any other numbering or symbolic representation of classes
                    is an acceptable measure, but there is no notion of magnitude
                    associated with numbers or symbols.
                    ◆ It simply labels the objects. Numbers only serve as labels or
                    tags to identify and classify objects (not up, down, better, or
                    worse).                                                               ◆ No order, distance,
                                                                                         and origin
                    ◆ When  used  for  identification,  there  is  a  strict  one-to-one
                    match between numbers and objects.

                    ◆ Figures do not reflect the amount of property an object has.

                    ◆ Counting  is  the  only  possible  operation  on  numbers on  a
                    nominal scale.

                    ◆ Only a limited  number of statistical  analysis based on
                    frequency numbers are allowed.

                  Example: In which diet do you belong to? The possible answers
               are:

                    ◆ Vegetarian.

                    ◆ Non-vegetarian.

                  In  nominal  scale  we  may  label Vegetarian  as  ‘1’,  and  Non-
               vegetarian as ‘2’. It does not in any way mean any of the diet
               plans is better than the other. They are just used as an identity for



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