Which of the following statements is correct regarding the percentile points of the F-distribution? A)F_0.05,10,20 = 1/F_0.95,10,20 B)F_0.05,10,20 = 1/F_0.05,20,10 C)F_0.95,10,20 = 1/F_0.05,20,10 D)F_0.95,10,20 = 1/F_0.95,20,10

Question

Quizplus · Accepted Answer

The F-distribution is not symmetric, so the percentile points depend on the degree of freedom in the numerator and denominator. Therefore, the percentiles are not symmetric about the mean, and A and B are incorrect as they suggest symmetry. The correct relationship between percentiles is that FS1U1Bq,ν1,ν2S1U1B0 = 1/FS1U1B1−q,ν2,ν1S1U1B0, so C is the only correct choice.

Which of the Following Statements Is Correct Regarding the Percentile