I need to correct this To transform this into a study appropriate for the analys

Question

I need to correct this

To transform this into a study appropriate for the analysis of variance, you need to have 3 (or more) groups. What could you use instead of coaching and no coaching so that you end up with three groups instead of just two?

Also remember that we are looking for your expected results in both statistical language and real would language. Finally, if post-hoc analysis would be conducted, where do you think you would see differences? If you did not need to conduct post-hoc tests, why not?

I wanted to find weather SAT coaching is any good? Statistically speaking, we need to check the performance of SAT coaching on 2 groups of students: experimental and control I will do it via a 1-way independent ANOVA. How? we consider 2 treatments on this groups: 1st: No coaching, 2nd: SAT coaching Independent variables are: SAT scores. There are 2 levels of independent variables (control and experimental) I saw via the post hoc analysis that the mean of SAT scores for student receiving coaching is statistically significantly higher than the SAT scores of students in group which didn't get SAT coaching. I got a p-value <.05, the critical value of p. It concludes that SAT coaching does help in increasing score significantly The group of students are significantly different in terms of SAT scores.

Explanation / Answer

In order to form 3 groups we can change the groups design of the basis of length of coaching:

Like we can form groups as follows:

Group I : No Coaching

Group II: Trial coaching of 15 days

Group III: Full fledged coaching of 60 days

.

In this situation we can run a one factor ANOVA

the Independent variable is "Type of coaching" and the dependent variable is "SAT Score"

Since we want to understand does the SAT score depend on the type of the coaching , this implies that SAT Score is Dependent Variable. It is dependent on "Type of Coaching"

Post hoc analysis are done only when the difference in the mean of the three groups is statistically significant

It helps find the patterns of differences in the subgroups and will actually let us know the true rootcause of the difference in the means.

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