In: Statistics and Probability
The F(df1,df2) distribution is negatively skewed. Group of answer choices True False
False
The F distribution tends to be (right-skewed) positive skewed, with the amount of skewness depending on the degrees of freedom. As the degrees of freedom in the numerator and denominator increase, the F distribution approaches a normal distribution
Note that, The F distribution is derived from a ratio of a two chi-squared distributions divided by their respective degrees of freedom.
The graph of f distribution is given below,
The figure shows how the F distribution changes with your degrees of freedom. The df1df1, df2df2, and df3df3 indicate increasing degrees of freedom in both the numerator and denominator. The skewness of the F distribution decreases when the numerator or denominator degrees of freedom increase and approaches a normal distribution when both become large.
Here is the explanation of F distribution.
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