Discuss the below:
Q1. Variability in a dataset may be caused by various sources. Provide an example sample dataset where one or more than one sources causing its variability. Explain briefly with one or two lines explanations of those sources. Also, calculate the sample variance for the example data set that you have provided.
Q2. Organize the sample data you have presented above into groups according to the levels of one source of (or cause of variation) variation. Now compute the Mean Sum of Square Between and Mean Sum of Square Within. How do you characterize the Mean Sum of Square Between in your example? Is it too large, why or why not?
Q3. While doing and ANOVA you found the following:
The Mean Sum of Square Between (MSSB) = 2.76 with df 5 and the Mean Sum of square Within (MSSW) = 10.89 with df 11. What conclusion can you draw regarding the null hypothesis of the equality of the means?