Bradly has
enumerated several advantages and disadvantages of parametric statistics and
non-parametric statistics. The advantages of non-parametric over parametric can
be postulated as follows:
1. Similarity and facilitation in
derivation- most of the non-parametric statistics can be derived by using
simple computational formulas. This advantage does not lie with most of the
parametric statistics. The derivation of which require an advanced knowledge of
mathematics.
2. Wider scope of application-
non-parametric statistics as compared to parametric statistics are based upon
fewer assumptions regarding the form of population distribution. They can be
easily applied to much wider situations.
3. Speed of application-when the sample
size is small, calculation of non-parametric statistics is faster than
parametric statistics.
The advantages of parametric
statistics associated with them may be given as below:
1. Non-parametric statistics have low
statistics efficiency than parametric statistics, when sample size is large,
preferably above 30.
2. If all assumptions of parametric
statistics are fulfilled the use of more non-parametric statistics are simply
wasting of data(Seagull and Seagull,1988)
3. It is also said that the probability
tables for testing the significance of non-parametric statistics are widely
scattered in different publications which for a behavioral scientists difficult
to locate and interpret.
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