A pool of participants was randomly divided into several treatment groups. The g

Question

A pool of participants was randomly divided into several treatment groups. The groups were table is administered different daily doses of vitamin C over a 12-month period. A partly filled in ANOVA table is shown below: Use your knowledge of SS, DF and MS to fill in the cells with question mark to ANOVA table (please show your steps to calculate these values). Use the complete ANOVA to answer the following questions (Briefly explain your answer). How many different dose groups in the study? How many participants are included in this study (i.e., total sample size)? Do the daily dose of vitamin C treatments have same effect? Indicate how you come to your conclusion (you can find the critical value at alpha = 0.05_(2) in the F table on next page).

Explanation / Answer

from above table

(i) total groups =4+1=5

(ii) total sample size =22

(iii) as F critical is lower then F stat we reject null hypothesis and conclude that Vitamin C treatments have differnt effect

Source of variation sum of square DF Mean sq F Fcrit B/w groups 40 4 10 6.8 2.9647 with in groups 25 17 1.470588 total 65 21

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