DIstinguish between Parametric vs nonparametric test

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Differance between Parametric vs nonparametric t-test related stats managment

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DIstinguish between Parametric vs nonparametric test

  1. 1. Parametric andNonparametric TestBy:Sai PrakashMBA InsuranceManagementPondicherry University
  2. 2. ∗ If the information about the population is completelyknown by means of its parameters then statistical test iscalled parametric test∗ Eg: t- test, f-test, z-test, ANOVAParametric Test
  3. 3. ∗ If there is no knowledge about the population orparamters, but still it is required to test the hypothesis ofthe population. Then it is called non-parametric test∗ Eg: mann-Whitney, rank sum test, Kruskal-Wallis testNonparametric test
  4. 4. Classification Of hypothesisParametric test Non Parametric testt- test, f-test, z-test, ANOVAmann-Whitney, rank sumtest, Kruskal-Wallis test
  5. 5. Difference between parametric and NonparametricParametric Non ParametricInformation about population iscompletely knownNo information about the population isavailableSpecific assumptions are made regardingthe populationNo assumptions are made regarding thepopulationNull hypothesis is made on parameters ofthe population distributionThe null hypothesis is free fromparameters
  6. 6. Difference between parametric and NonparametricParametric Non ParametricTest statistic is based on the distribution Test statistic is arbritaryParametric tests are applicable only forvariableIt is applied both variable and artributesNo parametric test excist for Norminalscale dataNon parametric test do exist for norminaland ordinal scale dataParametric test is powerful, if it exist It is not so powerful like parametric test
  7. 7. ∗ Non parametric test are simple and easy to understand∗ It will not involve complecated sampling theory∗ No assumption is made regarding the parent population∗ This method is only available for norminal scale data∗ This method are easy applicable for artribute dates.Advantages of non parametric test
  8. 8. ∗ it can be applied only for norminal or ordinal scale∗ For any problem, if any parametric test exist it is highlypowerful.∗ Nonparametric methods are not so efficient as ofparametric test∗ No nonparametric test available for testing the interactionin analysis of variance model.Disadvantages of non parametric test
  9. 9. Thank you....

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