The chi-squared distribution often has what type of skew? The F distribution often has what type of skew?

Chi-Squared Distribution Skew

1. Type of Skew: The chi-squared distribution is positively skewed (right-skewed). This means that the tail on the right side of the distribution is longer or fatter than the left side.
2. Reason for Skewness: The degree of skewness decreases as the degrees of freedom (df) increase. For example, with low degrees of freedom, the skewness is more pronounced, but as the degrees of freedom increase, the distribution begins to resemble a normal distribution.

F Distribution Skew

1. Type of Skew: The F distribution is also positively skewed (right-skewed).
2. Reason for Skewness: Similar to the chi-squared distribution, the F distribution's right skewness diminishes with an increase in its degrees of freedom. When the degrees of freedom are large, the distribution approaches symmetry.

In conclusion, both the chi-squared and F distributions are characterized by positive skewness, with the degree of skewness being influenced by their respective degrees of freedom.