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# Statistics: ANOVA Tables

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Complete each of the following ANOVA summary tables. In addition, answer the following questions for each of the ANOVA summary tables:
a. What is the factorial notation?
b. How many conditions were in the study?
c. How many subjects were in the study?
d. Identify significant main effects and interaction effects.

Source df SS MS F
A 1 60
B 2 40
A x B 2 90
Error 30
Total 35 390

Source df SS MS F
A 2 40
B 3 60
A x B 6 150
Error 72
Total 83 400

Source df SS MS F
A 1 10
B 1 60
A x B 1 20
Error 36
Total 39 150

##### Solution Summary

The expert completes each ANOVA summary tables. The factorial notations are determined.

##### Solution Preview

Complete each of the following ANOVA summary tables. In addition, answer the following questions for each of the ANOVA summary tables:

Source df SS MS F
A 1 60 60 9
B 2 40 20 3
A x B 2 90 45 6.75
Error 30 200 6.67
Total 35 390

a. What is the factorial notation?
This is a 2 x 3 factorial ANOVA. The first factor (IV) has two levels (categories) and the second factor has three levels.

b. How many ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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