To calculate the Inverse Chi-Squared (X²):
\[ X² = \frac{df}{χ²} \]
Where:
The inverse chi-squared distribution is a continuous probability distribution that is often used in Bayesian statistics. It is the distribution of the reciprocal of a variable that has a chi-squared distribution. This distribution is particularly useful in the context of Bayesian inference, where it is used as a prior distribution for the variance of a normal distribution. The inverse chi-squared distribution is parameterized by the degrees of freedom, which determines the shape of the distribution.
Let's assume the following values:
Step 1: Divide the degrees of freedom by the chi-squared value:
\[ X² = \frac{df}{χ²} = \frac{10}{5} = 2 \]
The Inverse Chi-Squared value is 2.
