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Biostatistics by P. Mariappan

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13.18 CHI-SQUARE DISTRIBUTION

Chi-square distribution comes under the category of continuous probability distribution. It was first introduced by the Helmert [1875] and then re-modified and introduced by Karl Pearson [1900].

The Chi-square distribution can be mathematically defined as follows:

Image

and ν is called the degree of freedom. The xi are normally and independently distributed with means μi and SD σi.

It is denoted by the Greek letter χ2 [chi-squared].

Let X be a normally distributed random variable with mean μ and SD σ.

Let us draw a large number of independent random samples of size n from this population. Convert each value of xi within ...

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