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Nonparametric Tests: Central Limit Theorem

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Nonparametric tests are often used in place of their parametric counterparts when the distributional assumption, usually the normal distribution assumption, is questionable AND the sample size is small, say less than 30. When the sample size is large, the central limit theorem kicks in and usually it is OK to use a parametric test even if the normal distribution assumption is questionable.

Can you give me an example of a nonparametric test that is used for reasons other than the underlying distributional assumptions?

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Nonparametric tests are often used in place of their parametric counterparts when the distributional assumption, usually the normal distribution assumption, is questionable AND the sample size is small, say less than 30. When the sample size is large, the central limit theorem kicks in and usually it is OK to use a parametric test even if the normal distribution assumption is questionable.

Can you give me an ...

Solution Summary

This solution provides an example of a nonparametric test that is used for reasons other than the underlying distributional assumptions.

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Statistical questions

1. Can the formal hypothesis testing approach be used for non parametric tests?

a) How are parametric and nonparametric statistics different?
b) How are parametric and nonparametric statistics similar?

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