The chi-square distribution
The chi-square statistics are defined by the following formula:
Here, n is the size of the sample, s is the standard deviation of the sample, and σ is the standard deviation of the population.
If we repeatedly take samples and define the chi-square statistics, then we can form a chi-square distribution, which is defined by the following probability density function:
Here, Y0 is a constant that depends on the number of degrees of freedom, Χ2 is the chi-square statistic, v = n - 1 is the number of degrees of freedom, and e