Chi Square Distribution Curve. Degrees of freedom are discussed in greater detail on the pages for the goodness of fit test and the test of independence the figure below shows three different chi square distributions with different degrees of freedom. When ν is small the shape of the curve tends to be skewed to the right and as the ν gets larger the shape becomes more symmetrical and can be approximated by.
The shape of the chi square distribution depends on the number of degrees of freedom ν. Test statistics based on the chi square distribution are always greater than or equal to zero. When ν is small the shape of the curve tends to be skewed to the right and as the ν gets larger the shape becomes more symmetrical and can be approximated by.
Such application tests are almost always right tailed tests.
The chi square distribution is a continuous probability distribution with the values ranging from 0 to infinity in the positive direction. For df 90 the curve approximates the normal distribution. The chi square distribution is a family of distributions. The chi square distribution curve is skewed to the right and its shape depends on the degrees of freedom df.
