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If an analysis of variance produces SSbetween treatments = 20 and MSbetween treatments = 10, then the ANOVA is comparing two treatment conditions.

  1. True or false ? 
I believe it is true. 
 
  1. An independent-measures research study compares three treatment conditions using a sample of n = 5 in each treatment. For this study, the three sample means are, M1 = 1, M2 = 2, and M3 = 3. For the ANOVA, what value would be obtained for SSbetween?  Is the answer 3 and 5 ?

Comments

Rose:
 
Your next Question confuses me.  How can there be two answers, 3 AND 5, if you want a single value for the SS Between?
 
BTW, I think both 3 and 5 are wrong.
 
Dattaprabhakar (Dr.G.)
Each treatment has 5 observations.  Total observations = 15
 
Means                   1                         2                             3
Totals                   5                        10                           15   Grand total = 30
Squares               25                      100                         225
Divide by 5            5                        20                           45     Total = 70
 
SS Between = 70 - (30)2 / 15 = 70 - 60 = 10.
 
Is my arithmetic correct?
 
Dattaprabhakar (Dr. G.)
 
 
Yes you are right again on both questions. Thank you very much for the included chart and the formulas. 
Rose:
 
So far our communications have been AFTER you have struggled and seemingly solved the problems.  Here is an idea.  If you want me to help you BEFORE attempting to solve the question, please go to the web-link of my profile:
 
 
Provided your payment information is on file you can email me your phone number, your skype ID and such info, from there.  Then I will be able to give you my phone number, skype ID and stuff, and, if you feel like it, set up a trial skype session.
 
I called Wyzant about the general problem of tutoring students via skype.  They said that it is possible and indicated the above process.
 
Please let me know ASAP.  Thanks, Rose.
 
Dattaprabhakar (Dr. G.)
Rose:
 
Are you done with your class?  Haven't seen a question from you lately!
 
Dr. G.
Dr.G ,
Yes I finished my course. It was a summer course and I made an A. I would like to thank you very much again for always going above and beyond to make sure I understood the question and answer. I would have not made an A if it wasn't for this website and your constant help. Thank you so much and for even wanting a follow up. It shows what kind of person/ tutor you really are. 
Thank you ,
Rose. 
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1 Answer

Rose:
 
MS between treatments = SS / (t - 1), where t is the number of treatments.
 
Here, 10 = 20 / (t-1), giving (t - 1) = 2, that is, t = 3, not 2.  The statement is FALSE.
 
Dattaprabhakar (Dr.G.)