Chi Square Distribution Curve. The distribution of Chi-square depends on the degrees of freedom. X α 1 - α P x χ 2 1. Such application tests are almost always right-tailed tests. N number of observations.
The χ2 can never assume negative values. The chi-square distribution is equivalent to the gamma distribution where α k2 and β 2. The chi-square distribution curve is skewed to the right and its shape depends on the degrees of freedom df. The chi-square distribution curve is skewed to the right and its shape depends on the degrees of freedom df. Such application tests are almost always right-tailed tests. Mode max k 2 0 Range 0 Variance 2k.
For df 90 the curve approximates the normal distribution.
The chi-square distribution is equivalent to the gamma distribution where α k2 and β 2. It is thus related to the chi-squared distribution by describing the. The chi-square distribution curve is skewed to the right and its shape depends on the degrees of freedom df. Thus if Z 1. Test statistics based on the chi-square distribution are always greater than or equal to zero. The χ 2 chi-square distribution for 9 df with a 5 α and its corresponding chi-square.