Question

You read a research paper and in the results section find the following reported for an independent samples one-way ANOVA test:

F(4, 40) = 4.56

How many unique, nonindependent post-hoc pairwise comparisons could be conducted if this test was statistically significant?

Answer #1

Here we have given : for an independent samples one way ANOVA test :

F(4,40) = 4.56

That is here degree of freedom for between group is 4 hence there is five independent samples . and error df is 40

Q . How many unique, nonindependent post-hoc pairwise comparisons could be conducted if this test was statistically significant?

we can do 10 unique , non independent post hoc pairwise comparison if the test is statistically significant .

1) test for (x1 - x2)

2) test for (x1 - x3)

3) test for (x1 - x4)

4) test for (x1 - x5)

5) test for (x2 - x3)

6) test for (x2 - x4)

7) test for (x2 - x5)

8) test for (x3 - x4)

9) test for (x3 - x5)

10) test for (x4 - x5)

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