Question

In: Statistics and Probability

The F(df1,df2) distribution is negatively skewed. Group of answer choices True False

The F(df1,df2) distribution is negatively skewed. Group of answer choices True False

Solutions

Expert Solution

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.

Hope you understood then RATE POSITIVE ?. In case of any queries please feel free to ask in comment box.

Thank you.


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