151k views
1 vote
For an independent-measures ANOVA comparing four treatments with

a sample of n = 8 in each treatment, what is the critical value
forthe F-ratio using α = .05?​

1 Answer

5 votes

Final answer:

To find the critical value for the F-ratio in an independent-measures ANOVA comparing four treatments with a sample of n = 8 in each treatment, consult the F distribution table or use statistical software.

Step-by-step explanation:

To find the critical value for the F-ratio in an independent-measures ANOVA comparing four treatments with a sample of n = 8 in each treatment and using a level of significance of α = .05, we need to consult the F distribution table or use statistical software.

For α = .05 and the degrees of freedom of the numerator (k - 1 = 4 - 1 = 3) and the denominator (N - k = 32 - 4 = 28), the critical F value is approximately 3.34.

If the calculated F ratio is greater than the critical F value, we would reject the null hypothesis. If it is less than or equal to the critical F value, we would fail to reject the null hypothesis.

User Lion
by
7.4k points