# Analysis of variance (ANOVA)

I have some questions regarding ANOVA procedures.

Is my following answer correct to this question...

The ANOVA can be used to test for differences between means when there is

1. 2 or more IV

2. 2 or more levels of 1-IV

3. is only 1-IV

4. all of the above

I choose #3, because I think the ANOVA test with one Ind. variable (IV) on 3 or more levels of that IV. But I am not sure because in our class we discussed 2-way ANOVA. I am getting really confused. Can you please explain.

Another question regarding the ANOVA

I am comparing the scores of 5 different groups. I find that the ANOVA is significant. What is my best intrepretation?

1. the means of @ least 2 groups are sign. different from each other

2. scores do not differ among the groups

3. all 5 groups differ from each other

4. none of the above can be determined from the omnibus

I choose 4, because from what I believe the answer should be is not listed. If the test was sign. then @ least one group would be different among the group. You cannot determine until following POST-HOC that more than one is sign. different (so that rules out 1). #2 is ruled out immed because sign means the NULL is rejected. # 3 cannot be determine until POST-HOC

The next is just confusing me. I think I am making more of it than it is.

When comparing the means of 2 groups only, a significant ANOVA result of p<.05 will

1. the independ. sample t test is not related to the ANOVA

2. always show a completely different p-valve than the indep. sample t test

3. always show the identical p-value as the indep. sample t test

4. sometimes show a completely different p-value than the indep sample t test

I choose 3

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#### Solution Preview

The ANOVA can be used to test for differences between means when there is

1. 2 or more IV

2. 2 or more levels of 1-IV

3. is only 1-IV

4. all of the above

We can use ANOVA for 2 or more levels of 1-IV (One way anova), for 2 or more IVs (two way anova or n-way anova) and when there is just one IV (one way anova). So the correct answer is #4.

Another question regarding the ANOVA

I am comparing the scores of 5 ...