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Statistics in Education and Psychology by R. P. Pathak

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7

Non-Parametric Test-Chi-square

Parameters are population measures. The statistics t and F that we have discussed earlier take certain assumptions. They assume by normal distribution and homogeneity of the population. From these statistics, parameters can be estimated. But often, especially in experimental studies, we may have to deal with small number of samples; 10, 12, 15 or so. In such cases, we cannot expect representativeness of the population in the sample. In such cases, we use statistics that are known as non-parametric. We use these statistics also to test hypothesis, often in experimental conditions when the sample size is very small.

We have learnt about the parametric tests, namely t-test and F-test involving the assumptions based ...

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