Asked by Somtochi Ibezim on May 16, 2024
Verified
Which of the following is not a property of the F distribution?
A) F-distributions are nonsymmetrical.
B) F-distributions have (n - 1) degrees of freedom.
C) F can assume only positive values.
D) There are many F-distributions and each has a different shape.
E) F-distributions are nonsymmetrical and F can assume only positive values.
F-Distribution
Used in analysis of variance (ANOVA), describing the ratio of two variances drawn from normally distributed populations.
Degrees of Freedom
The quantity of variable values available in the concluding computation of a statistic.
- Master the essentials and practical uses of the F-distribution in the context of statistical studies.
Verified Answer
CS
Charlie SheenMay 22, 2024
Final Answer :
B
Explanation :
The F distribution's degrees of freedom are determined by two separate sets of values (df1 and df2), not simply (n - 1) as suggested. This is a characteristic of the t-distribution, not the F-distribution.
Learning Objectives
- Master the essentials and practical uses of the F-distribution in the context of statistical studies.