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# Analysis of variance (ANOVA)

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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

https://brainmass.com/statistics/analysis-of-variance/87970

#### 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 ...

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