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Eduncle posted an MCQ
December 23, 2019 • 20:37 pm 0 points
  • UGC NET
  • Education

For use of a non-parametric test like the chi-square, which of the following assumptions has to be satisfied ?

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    Eduncle Best Answer

    Nonparametric or distribution-free methods have several advantages or benefits. They may be used on all types of data including nominal, ordinal, interval and ratio scaled. They make fewer and less stringent assumptions than their parametric counterparts. Depending on the particular procedure, nonparametric methods may be almost as powerful as the corresponding parametric procedure when the assumptions of the latter are met. When this is not the case, they are generally more powerful.
            A parametric method – Consider using when :
            1.    The assumptions for the population probability distribution hold true
            2.    The sample size is large enough for the central limit theorem to lead to normality of averages
            3.    The data is non-normal but can be transformed
            A nonparametric method – Consider using if the data is :
            1.    Distinctly non-normal and cannot be transformed
            2.    From a sample that is too small for the central limit theorem to lead to normality of averages
            3.    From a distribution not covered by parametric methods
            4.    From an unknown distribution
            5.    Nominal or ordinal

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