The F Test MCQ with Answer Key (Advanced Level)







An F-test is a statistical method used to compare the variances of two populations to determine if they are significantly different. It’s commonly used in the context of ANOVA (Analysis of Variance) and regression analysis. The F-test calculates the ratio of two variances (the larger variance divided by the smaller one), and this ratio follows an F-distribution under the null hypothesis. If the computed F-ratio is larger than the critical value from the F-distribution table, the null hypothesis is rejected, indicating that the variances are significantly different. The F-test is useful for assessing model fit and comparing variability across groups. The F Test MCQ (Variance Ratio Test) with Answer Key will help you to study the concept very clearly . You can Download this Multiple-Choice Questions as PDF from the download link provided in the result window of the quiz.

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1. 
Which of the following is the primary purpose of an F-test?

2. 
In the context of an ANOVA (Analysis of Variance), what does the F-statistic represent?

3. 
If the F-statistic is significantly greater than 1 in an ANOVA test, what is the most appropriate conclusion?

4. 
Which of the following is a critical assumption for the validity of an F-test in ANOVA?

5. 
What is the degrees of freedom associated with the numerator (between-group variance) in a one-way ANOVA F-test?

6. 
The F-distribution is most closely related to which other statistical distribution?

7. 
What happens to the shape of the F-distribution as the degrees of freedom in the numerator and denominator increase?

8. 
In a two-way ANOVA without interaction, what does the F-test for one factor examine?

9. 
What is the null hypothesis in a one-way ANOVA F-test?

10. 
In a regression context, what does the F-test in the ANOVA table evaluate?

11. 
Which of the following is NOT a scenario where an F-test is appropriate?

12. 
When conducting an F-test for variances, what would a small F-statistic (close to 1) suggest?

13. 
What is the result of rejecting the null hypothesis in an F-test in the context of ANOVA?

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