PLEASE CIRCLE OR LABEL YOUR ANSWERS!!! Here is a link to a data set concerning t

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PLEASE CIRCLE OR LABEL YOUR ANSWERS!!!

Here is a link to a data set concerning three treatment groups: A, B, & C In order to perform and ANOVA on the data to assess if A, B, and C are different, what assumptions must be met? Enter the number of all correct answer choices in numerical order separated by commas in the blank below 1. The variance between the three groups must be equal. 2. The data in each group must be normally distributed 3. The members of the sample populations were randomly chosen 4. The variance between each group must be unequal. 5. The variances of each group must overlap with the variance of at least one other group Using the data analysis add in for Excel (installation instructions can be found here Win|Mac), perform a single factor ANOVA to deduce if A, B, and C are different. To do this, click the data analysis tool icon, then select "single factor ANOVA", enter the range of cells containing the data, and click okay. Excel will generate a results table you can use to answer the next two questions. What is the P valued? Report your answer in the form ###E## For example, 0.00000122 would be reported as 1.22E-6 or 1.22E-06 . Is the F value greater than the Fcritical Value (yes or no)? Are A, B, and C, different from each other based on the ANOVA (yes or no)? What test(s) could you perform to deduce if A and B, or B and C, or A and C are individually different from each other? Enter the number of the correct answer in the box below. 1. Kruskall-Wallis 2. Tukey-Kramer 3. Kruskall-Wallis or Tukey-Kramer No further analysis is required. The performed ANOVA already confirmed all 3 groups are each different from each other

Explanation / Answer

Solution :

Q1) 1)The variance between 3 groups must be equal, 2) The data in each group must be normally distributed,3) The member of sample population must be randomly choosen.

Q2) P value : 7.71093255577674E-10,

F value greater than F critical value : Yes

Are A, B and C are different from each other based on anova : Yes

No Further analysis is required. The Performed ANOVA already confirmed all 3 groups are each different from each other.

Ouput of Anova

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 30 458.05 15.26833 20.50253 B 30 305.64 10.188 10.04049 C 30 581.3 19.37667 40.16751 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1271.198 2 635.5989 26.96623 7.71E-10 3.101296 Within Groups 2050.606 87 23.57018 Total 3321.803 89

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